Answers
Answer:
40°
Step-by-step explanation:
We know that
[tex]m\angle 2=28^{\circ}+m\angle 1[/tex]
Thus, by the angle addition postulate,
[tex]28+m\angle 1+m\angle 1=108^{\circ} \\ \\ 2m\angle 1=80^{\circ} \\ \\ m\angle 1=40^{\circ}[/tex]
Related Questions
Randi went to Lowe’s to buy wall-to-wall carpeting. She needs 111.02 square yards for downstairs, 31.82 square yards for the halls, and 161.92 square yards for the bedrooms upstairs. Randi chose a shag carpet that costs $15.01 per square yard. She ordered foam padding at $3.12 per square yard. The carpet installers quoted Randi a labor charge of $3.77 per square yard.
What will the total job cost Randi?
Round your answer to the nearest cent.
help please
Answers
Using proportions, it is found that the total job cost for Randi is of $6,674.24.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The total amount of square yards that she needs is given by:
111.02 + 31.82 + 161.92 = 304.76.
The cost per square yard is given by:
15.01 + 3.12 + 3.77 = $21.9.
Hence the total cost is given by:
304.76 x 21.9 = $6,674.24.
The total job cost for Randi is of $6,674.24.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
How do I graph this line with slope of 1/3 passing through the point (-1, -1)
Answers
Answer: See attached
Step-by-step explanation:
What number makes the
equation true?
23+5= + 18
Answers
the number that makes it correct is 10
let's write it like this
23+5=x+18
28=x+18
you would subtract 18 from each side to get x
28-18=10
18-18=0
x=10
I’ll give points + brainalist!!
Answers
Answer:
-8, -7, -5, -4, or 0
Step-by-step explanation:
[tex]\frac{q}{-4} \geq 2[/tex]
[tex]q\geq -8[/tex]
Therefore q has to be greater than or equal to -8.
So q has to be -8, -7, -5, -4, or 0 in the given values.
The equivalent inequality is [tex]q\geq -8[/tex].
If this was helpful pls give me brainliest <3
Divide each number by -4 and if it is greater than 2 then it is on the correct side! For example: -16 Divide it by -4 which is positive 4. And Positive 4 is greater than 2.
4 > 2 (THE REST OF THE ANSWERS I SOLVED LIKE THIS ARE BELOW)
✔ ❌
-16 -5
-9 -8
-12 -4
-11 -7
0
I TRIED VERY HARD AND WOULD LIKE BRAINLIEST 5 OR AT LEAST 4 STARS AND A CLICK ON THE THANKS!
The length of a rectangular garden is 10 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.
Answers
Answer: width of the garden is 42
Step-by-step explanation:
let's say "x" = the garden's length
and "y" = the garden's width
the length of the garden is 10 feet longer than its width
x-10=y
the garden's perimeter is 188 feet
we can set up a new equation like this:
2x+2y=188
now we have two equations and we can solve using the system of equations.
x-10=y
add 10 on both sides to isolate "x"
x=y+10
2x+2y=188
substitue x for y+10 in the second equation
2(y+10)+2y=188
expand
2y+20+2y=188
combine like terms
4y+20=188
subtract 20 from both sides
4y=168
divide by four on both sides
y=42
the width of the garden is 42 feet
Evan's calculator shows 137.2582774 as the volume of his soccer ball. Evan measure the radius of the ball to be 3.2 inches. Determine to what place the rounding of the volume should oceur and give the rounded answer.
Answers
Answer:
Answer is 137.3
Step-by-step explanation:
Since there is one significant digit after decimal, i.e. 2
Therefore, the answer should be rounded off to the nearest tenths digit.
7. There are 7 pairs of green socks, 6 pairs of white socks, 5 pairs of red socks and 4 pairs of blue socks. One person is asked to close his eyes, and draw the socks 1 pair at a time. At least how many pairs of socks should be drawn so that among the drawn socks, 4 pairs of those have the same color?
Answers
Answer:
13
Step-by-step explanation:
We can think of this as drawing 3 pairs of each color, and then the next pair will guarantee we have 4 of one color.
This is 3(4)+1=13 pairs.
Step-by-step explanation:
let me see, if I understand this right.
7 pairs of green socks = 14 green socks.
6 pairs of white socks = 12 white socks.
5 pairs of red socks = 10 red socks.
4 pairs of blue socks = 8 blue socks.
in total : 44 socks (or 22 pairs).
the person is pulling socks always 2 at a time. but each sock can be any color.
or are the pairs still connected, and each draw pulls a pair of equal socks ?
and then the question also really is, what is meant by 4 pairs have the same color ? that i find 4 groups of 2 socks each with the save color inside the group (making them pairs), or truly 4 pairs with the same color (e.g. 4 red pairs, or 4 green pairs) ?
if the pairs are still connected, only the second question makes sense.
the worst that can happen in that scenario is drawing
3 pairs of blue socks.
3 pairs of red socks.
3 pairs of white socks.
3 pairs of green socks.
this now like in Baseball : the bases are loaded. any additional runner will cause a score.
because any additional draw must complete one of the groups of 4 pairs.
so, latest after the 4×3 = 12 draws, we get a 13th draw. that gives us 4 equally colored pairs of socks for sure.
so, we need 13 draws.
if each sock is in there individually, and we still want to have 4 pairs of socks all with the same color, then it starts similarly :
the socks get pulled 2 by 2 but that means each drawn pair can have different colors of the individual socks.
in the worst case after drawing 24 socks (12 groups of 2 socks), we have the same situation as in the previous case.
but now, pulling 2 more socks does not guarantee a full set of 4 pairs. we could get 2 different socks that add only half a pair to 2 color groups.
the same with the next pulled group of 2. they fill up the other 2 color groups with half-pairs.
but now the base are loaded. by pulling the next (3rd) additional group of 4, we complete at least one color group with 4 full pairs.
so, we need 12 + 3 = 15 draws to make absolutely sure.
now, if we have individual socks, and want to get 4 pairs of socks that have just the same color inside their pair, we need to think a little bit differently.
after 2 draws (4 socks) we have in the worst case 4 individual socks with different colors.
after the next 2 draws we can be already lucky, but in the worst case we are not but have now either 2.5 full pairs of one color and 3 individual socks, or 2 full pairs in one color, 1 full pair in a second color, and 2 individual socks, or 1.5 pairs in one color, 2×1 full pairs in 2 other colors, and 1 individual sock.
with the next draw in the worst case we could only extend the second case and get 2.5 pairs in one color, 1.5 pairs in the second color and still 2 individual socks.
but now the bases are loaded, and the next draw of 2 socks guarantees that we have 4 real pairs of socks (either 3 and 1 and still 2 individual socks, or 3 and 2 pairs and 2 individual socks, or 2 and 2×1 and wherever the second sock goes, it does not matter, or any other combination where at least one of the individual socks have been combined to a pair.
so, we need
2+2+1+1 = 6 draws.
Solve for x.
5(2+1)<5x+3
Answers
I started golfing again recently and I've played 5 rounds of golf with the following scores: 92, 88, 85, 90, and 89. What score would I need the next time I play to have an average below 88.
Answers
The next score should by less than 84 to have an average below 88.
What is an average?The term average is the sum of all the numbers divided by the total number of values in the set.
Mathematically,
Average = Sum of the observations/number of observations
Now given that,
Scores = 92, 88, 85, 90, and 89
Rounds = 5
Let x be the score the score for next round or sixth round.
So, According to question,
Average < 88
So, Average = Sum of the scores/number of rounds
⇒ Average = (92 + 88 + 85 + 90 + 89 + x)/6
⇒ Average = (444 + x)/6
⇒ (444 + x)/6 < 88
⇒ (444 + x) < 528
⇒ x < 528 - 444
⇒ x < 84
Thus, the next score should by less than 84 to have an average below 88.
To learn more about average :
https://brainly.com/question/6879441
#SPJ1
What is the area, in square units, of the parallelogram shown below? D A 7 units C H5 units O 20 square units O 25 square units 30 square units O 35 square units B
Answers
Answer: The answer is C
Step-by-step explanation:
1. Jon waits on tables and is paid $6.75an hour. In a 40-hour period, he earned $310.50 in tips. What were his total earnings?
Answers
Answer:
$617.25
Step-by-step explanation:
$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25
Answer:$580.50
Step-by-step explanation:
:)
Complete the problems. Find the a) employee’s total annual contribution, and b) employee’s monthly deduction. 1. Dorsey Williams has a single plan. His PPO annual premium is $4,325. His employer pays 65%
Answers
Employee’s total annual contribution is $1513.75
And, Employee’s monthly deduction is $126.15
Here,
Dorsey Williams has a single plan.
And, His PPO annual premium is $4,325.
His employer pays 65%.
We have to find the Employee’s total annual contribution.
And, Employee’s monthly deduction.
What is Annual contribution?
The amount credited to Account balance after the end of each Plan Year for which the Performance Goals are achieved is called Annual contribution.
Now,
His PPO annual premium is $4,325.
And, His employer pays 65%
Hence,
Employee’s total annual contribution = 4,325 (1 - 65%)
= 4,325 (35%)
= 4,325 x 35/100
= 1513.75
And, Employee’s monthly deduction = 1513.75 ÷ 12 = 126.15
Therefore, Employee’s total annual contribution is $1513.75
And, Employee’s monthly deduction is $126.15
Learn more about the Annual contribution visit:
https://brainly.com/question/18063635
#SPJ1
priya and tyler are discusising the figures shown below . priya thinks that b,c and d are scaled
Answers
For the given figures, both Priya and Tyler's opinions are incorrect.
What is meant by scale factor/scaling?Scaling is the process of measuring as well as assigning numbers to objects according to predefined rules.
Scaling is the process of locating the measured items on the continuum, an ongoing sequence of numbers with which the objects are assigned.
As, for the given question;
Figure D is the sole shape that can be considered a scaled replica of Figure A. This is due to the observation that all segments in figure D are times 2 of the correlating segments in figure A.When we compare figure B and C to figure A, we see that not all of their segments are twice as long as the correlating segments in figure A.As a result, both Priya as well as Tyler are incorrect. None of them are acceptable to us.
To know more about the scale factor, here
https://brainly.com/question/25722260
#SPJ9
The complete question is-
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.
-4x^2 +2x-5(1+x)
What expression is equivalent to the given expression?
Blank x^2+Blank x+Blank
Answers
The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The quadratic expression is given below.
⇒ -4x² + 2x - 5(1 + x)
Simplify the expression, then the expression will be given as,
⇒ -4x² + 2x - 5(1 + x)
⇒ -4x² + 2x - 5 - 5x
⇒ -4x² - 3x - 5
⇒ - (4x² + 3x + 5)
The expression -4x² + 2x - 5(1 + x) is equivalent to the expression - (4x² + 3x + 5).
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ1
Which expression shows that 11 + 7 = 5 + 13? A. (5 + 6) + 7 = 5 + (6 + 7) B. 6 + 6 + 6 = 18 C. 5 + 9 + 4 = 6 + 7 + 5 D. (11 + 4) + 3 = (5 + 7) + 6 Please select the best answer from the choices provided A B C D
Answers
Answer:
A? maybe because its (5 +6)+7=5
hope it will help
Answer:
The answer is A.
Step-by-step explanation:
a+b=c+d
Given the expression,
11 + 7 = 5 + 13, where a= 11
b= 7
c= 5
d= 13
From the options, taking option A:
(5 + 6) + 7 = 5 + (6 + 7)
5 + 6= 11= a
7 = 7= b
5 = 5= c
6 + 7 = 13= d
Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression
What is the distance between (4, 2) and (8, 5)
Answers
The distance between (4, 2) and (8, 5) is 5 units.
The distance between two given points can be calculated using the following formula :
Distance, D = [ ( x2 - x1 )^2 + ( y2 - y1 )^2 ]^1/2
Coordinates of point A = (4,2)
Coordinates of point B = (8,5)
For the above mentioned formula, we get
x1 = 4
x2 = 8
y1 = 2
y2 = 5
Substituting these values in the distance formula, we get
D = [ ( 8 - 4 )^2 + ( 5 - 2 )^2 ]^1/2
=> D = [ ( 4 )^2 + ( 3 )^2 ]^1/2
=> D = [ 16 + 9 ]^1/2
=> D = [25]^1/2
=> D = 5
Therefore, using the distance formula, we get the distance between (4, 2) and (8, 5) as 5 units.
Learn more about Coordinates and Distance here:
https://brainly.com/question/2238247?referrer=searchResults
#SPJ9
A mural measures 95 feet long by 285 feet high. Find the ratio of the height to the perimeter of this mural.
Answers
The ratio of the height to the perimeter of this mural 57 : 152.
We are given that:
Length = 135 feet
height = 285 feet
Mural is of a rectangular shape
We will first find the perimeter.
Perimeter = 2(l + w)
Perimeter = 2(95 + 285)
Perimeter = 2(380)
Perimeter = 760 feet
We will now find the ratio of the height to the perimeter of this mural.
Height : perimeter = 285 : 760
Reduce to lowest terms
Height : perimeter = 57 : 152
Therefore, we get that, the ratio of the height to the perimeter of this mural 57 : 152.
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ9
left parenthesis 3 plus 4 right parenthesis plus 5 equals 3 plus left parenthesis 4 plus 5 right parenthesis is an example of the ______________property.
1. inverse
2. associative property
3. identity property
4. commutative property
Answers
Answer:
2 associate property
Step-by-step explanation:
(3 + 4) + 5 3 + (4 + 5) On the left side, the 4 is "associating" with the 3", but on the left side the 4 is "associating;" with the 5.
11. A trader bought 2 cows and 9 goats for a total of ksh. 98 200. If she had bought 3 cows and 4 goats, she would have spent ksh. 2200 less a) Taking C to be the number of cows and G to be the number of goats, form two equations to represent the above information. b) use substitution method to represent the above information
Answers
By using subtraction method we get 55.157.8987
What is subtraction method?
In mathematics, subtraction refers to the act of removing something from a set of related objects or numbers. What is left in the group decreases as a result of subtraction.
Let cost of each cow=x
cost of each goat =y
Given 2x+9y=98200------------(equation 1)
9y=98200-2×Y=98200-2x/9-----------(equation 2)
Also 3x+4y= 9800+2200
3x+4y=1004004y=100,
400-3xY=100400-3x/4---------(equation 3)
From equation 2 and 3 we get
Y=Y98200-2x/9
=100400-3x/4
=196,400-8x
=301200-27x
=19x
=104,800
=x=55.157.8987
To learn more about subtraction method click
https://brainly.com/question/17301989
#SPJ9
Which expression is equivalent to w + 8w + 2?
a. 11w
b. w + 10
c. 2 + 9w
d. -5w
Answers
Answer:
[tex] = 2 + w + 8w \\ = 2 + 9w[/tex]
option C is the solution
Answer:
C. 2+9w
Step-by-step explanation:
Combine Like Terms:
=w+8w+2
=(w+8w)+(2)
=9w+2
What is the converse of the following conditional statement?
"If it is sunny, then it is 80° Fahrenheit."
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Answers
The converse of the conditional statement "If it is sunny, then it is 80° Fahrenheit." is "If it is 80° Fahrenheit, then it is sunny".
Given the conditional statement "If it is sunny, then it is 80° Fahrenheit."
and asked for the converse statement if it exists
converse:
A statement's converse is formed by switching the hypothesis and conclusion. "If two lines do not intersect, they are parallel," is the converse of "If two lines intersect, they are parallel." "If p, then q" is the converse of "if q, then p."
Therefore, the converse of conditional statement is "If it is sunny, then it is 80° Fahrenheit."
Learn more about converse here:
https://brainly.com/question/3477680
#SPJ9
Answer: A: If it is sunny, then it is 80° Fahrenheit. The converse is valid.
Step-by-step explanation: Hope that helped!
They wrote the model `n=40\cdot1.5^{t}` , where `n` is the total number of squirrels and `t` is the number of years since the biologists started counting. How many squirrels do the biologists predict there will be `2` years after they started counting
Answers
The number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.
How to illustrate the information?It should be noted that a function is used to show the relationship between the variables.
It should be noted that the function that's given is illustrated as:
n = 40 + 1.5t
In this case, it should be noted that t = 2 years.
Therefore, the number of squirrels that the biologists predict there will be 3 years after they started counting will be:
n = 40 + 1.5t
n = 40 + 1.5(2)
n = 40 + 4
n = 43
Therefore, the number of squirrels that the biologists predict there will be 2 years after they started counting will be 43 squirrels.
Learn more about functions in:
brainly.com/question/25638609
#SPJ1
Landon was making snacks for his family for the week. He used 25/35 of a pound of peanuts. Additionally he use 1/7 of a pound of almonds. At the end of the week, he determined that 3/5 of the snacks were leftover. At the end of the week, how much snacks, in pounds, was used?
Answers
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
How to estimate the amount of snacks spent per week
In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:
(3 / 5) · x = x - 25 / 35 - 1 / 7
(3 / 5) · x = x - 25 / 35 - 5 / 35
(3 / 5) · x = x - 20 / 35
x - (3 / 5) · x = 20 / 35
(2 / 5) · x = 20 / 35
7 · x = 10
x = 10 / 7
And the amount of snack used is determined by the following subtraction:
z = (2 / 5) · (10 / 7)
z = 20 /35
z = 4 / 7
Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.
To learn more on fractions: https://brainly.com/question/10354322
#SPJ1
PLEASE HELP!!! BRAINLIEST TO WHOEVER IS FIRST!
Answers
Answer:
It's the first one: 7 to the fourth over 3 to the tenth.
Step-by-step explanation:
Answer:
I think it is the first one
Step-by-step explanation:
Is (1, 10) a solution to the inequality y ≤ 4x + 1?
Answers
Answer:
(1,10) is not a solution to the inequality.
Step-by-step explanation:
First, you want to insert the values of x and y in the inequality.
So, [tex]10\leq 4(1) +1[/tex]
[tex]10\leq 5[/tex]
That inequality is not true, so we know that (1,10) is not a valid solution.
Use properties of exponents and logarithms to evaluate the expression as a rational number.
Answers
y= 1/16 is the solution of the equation where y is [tex]e^{-2ln4}[/tex]
The expression is given to be [tex]e^{-2ln4}[/tex]
The formula is given to be [tex]e^{lnx} =x\\[/tex]
also it is given that ln[tex]e^{x}[/tex]=x
Now to find and evaluate [tex]e^{-2ln4}[/tex]
let y=[tex]e^{-2ln4}[/tex]
taking ln both sides,
ln y = ln[tex]e^{-2ln4}[/tex]
ln y= -2 ln4
ln y= ln 4^-2
Removing ln from both sides,
y = 4^-2
y=1/16
Thus , y= 1/16 is the solution of the equation
#SPJ9
O-7
O-1
07
O 20
What is the value of the expression below?
(9+3)+4(6-7)
Answers
Answer:
8
Step-by-step explanation:
Order of Operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Parentheses First:
(9 + 3) = 12 and (6 - 7) = -1
12 + 4(-1) = 12 + (-4) = 8
Hey there!
(9 + 3) + 4(6 - 7)
= 9 + 3 + 4(6) + 4(-7)
= 9 + 3 + 24 - 28
= 12 + 24 - 28
= 36 - 28
= 8
Therefore, your answer should be:
8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help with this Problem
Answers
Answer:
Step-by-step explanation:
not sure 6
h is a trigonometric function of the form h(x) = a sin(bx + c) + d.
Below is the graph h(x). The function intersects its midline at (-4pi,2.5) and has a maximum
point at(-5pi/2,6)
Find a formula for h(x). Give an exact expression.
Answers
The expression acquired is h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
Given h(x) = a sin(bx ₊ c) ₊ d
The h(x) function intersects its mid line at (₋4π , 2.5)
and has its maximum points at (₋5π/2 , 6)
therefore, x₂ ₋ x₁ = ₋5π/2 ₋ (₋4π)
= ₋5π/2 ₊ 4π
= 3π/2
⇒ 2π/b = 3π/2 4
⇒ 2π/b = 6π
⇒b = 1/3
hence, a = b ₋ 2.5
a = 3.5
now h(x) = 3.5 sin(1/3x ₊ c) ₊ 2.5
x = ₋4π
h(₋4π) = 3.5 sin( ₋4π/3 ₊ c) ₊ 2.5
₋4π/3 ₊ c = 0
c = 4π/3
therefore, h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
hence after solving the equation we get the expression for h(x) as
h(x) = 3.5 sin(1/3x ₊ 4π/3)₊2.5
Learn more about Trigonometric functions here:
brainly.com/question/24349828
#SPJ9
In the Student Shoppe, Jackie spent $1 less than twice what Gail spent. If together they spent $11, find the amount of money Gail spent.
Answers
Answer:
Gail spent $4 and Jackie spent $7
Step-by-step explanation:
Let j = Jackie
Let g - Gail
j = 2g -1 j + g = 11
substitute 2g - 1 for j in the second equation
j + g = 11
2g - 1 +g =11 Combine the g's
3g -1 = 11 Add 1 to both sides of the equation
3g = 12 Divide both sides by 3
g = 4
Plug 4 in for g to find j
j = 2g -1
j = 2(4) -1
j = 8 -1
j = 7