Answers
Answer:
m<1 = 60°
m<2 = 30°
m<3 = 90°
Step-by-step explanation:
Recall some properties of Rectangle. Thus:
The four angles of a rectangle are right angles = 90° each.
Opposite sides of a rectangle are also parallel to each other.
With the knowledge of these, we can solve for angles 1, 2, and 3.
Thus:
m<1 = 60° (alternate interior angles are congruent)
m<2 + m<1 = 90° (complementary angles)
m<2 + 60° = 90° (substitution)
m<2 = 30° (substraction property of equality)
m<3 = 90° (angle of a rectangle)
Related Questions
Please solve
2b+ 1/2a(b-2/3)-4ab
Show all your steps please!
Answers
Answer: Distribute:
=2b+(
1
2
a)(b)+(
1
2
a)(
−2
3
)+−4ab
=2b+
1
2
ab+
−1
3
a+−4ab
Combine Like Terms:
=2b+
1
2
ab+
−1
3
a+−4ab
=(
1
2
ab+−4ab)+(
−1
3
a)+(2b)
=
−7
2
ab+
−1
3
a+2b
Answer:
=
−7
2
ab+
−1
3
a+2b
Step-by-step explanation: done
Worldwide, the proportion of babies who are boys is about 0.51 . Let the random variable X represent the number of boys in five children. Find the mean and standard deviation of this random variable.
Answers
Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
Graph the line x+y= -2
Answers
Answer:
Y=-x-2
Step-by-step explanation:
Subtract the x. Then go to (0, -2) and go down one over 1 to the left and connect the points. Keep doing that
14 - {7 + 4 x 3 - [(-2)²x 2 - 6]} + (2² + 6 - 5 x 3) + 3 - (5 - 2³ : 2) =
Answers
Answer:
(2x²-7)
Step-by-step explanation:
14 −1 (19 − 4x²+6) + (2² +6 - 14-1 (25-4x²) + (2² +6 −5.
i am having trouble solving this. -2 1/3 - (-5)=
Answers
Answer:
8/3 or 2 2/3
Step-by-step explanation:
1. -2 1/3 -(-5)=
2. -2 1/3 + 5=
3. -7/3 + 5=
4. -7/3 + 15/3=
5. 8/3 = 2 2/3
Which relation is NOT a function?
Answers
la primera ya que no se puede repetir
6y=60
y=__
1 A 10
2 B 54
3 C 11
Answers
6•10=60
Hope this helps
Answer:
10
Step-by-step explanation:
6y=60
60/6=1so u can easily divide
given x = 2^p and y = 2^q, express in terms of x and/or y
I) 2^p+q
II) 2^2p
III) 2^q-1
Answers
Answer:
|||)2^ (p + q) = 2^p • 2^q because you'd add the exponents, so xy2^ 2q = 2^(q + q) = 2^q • 2^q as above, so y^22^ (p-1) = 2^p / 2^1 because you subtract exponents when dividing, so x/2If xy = 32 then x = 32/yso 2xy^2 would = 2(32/y)•y^2 = 64y = 32 so y = 1/2making x = 64 since xy = 32so 64 = 2^p; p = 61/2 = 2^q; q = -1Help me please :) please
Answers
First we convert into slope-intercept form | y = mx + b
[tex]-3y=-3-x[/tex]
Move x to another side and subtract. (Whenever you move to another side, the sign/operator will be opposite. From plus to minus and from multiply to divide.)
Then move -3 to divide (-3-x)
[tex]y=\frac{-3-x}{-3}[/tex]
Separate - [tex]y=\frac{-3}{-3}-\frac{x}{-3}[/tex]
| Negative dividing Negative equal positive |
[tex]y=\frac{3}{3}-(-\frac{x}{3})[/tex] | When the denominator is negative, we can pull out from the denominator and convert into the middle of fraction. |
| Negative multiplying Negative equal positive |
[tex]y=1+\frac{x}{3}[/tex]
This is not fully slope-intercept form yet. We swap the position of 1 and x/3
[tex]y=\frac{x}{3}+1[/tex]
There we go. The slope-intercept form.
Now our job is to find the x-intercept and y-intercept. First, know what m and b represents in the equation y = mx + b first.
From y = mx + b | m represents slope | b represents the y-intercept. |
Our equation is [tex]y=\frac{x}{3}+1[/tex]
Our m or slope is 1/3 and our y-intercept is 1. So we don't need to find the y-intercept because we've already found it.
Now move to finding x-intercept.
Substitute y as we get -
[tex]0=\frac{x}{3}+1[/tex]
Now whenever there is a denominator, multiply the whole equation by the denominator itself. As our denominator in this equation is 3, so we multiply all whole equation by 3.
[tex]0(3)=\frac{x}{3}(3)+1(3)\\0=x+3 \\x=-3[/tex]
Our x-intercept is x = -3 and y-intercept is y = 1.
Check the graph out. Our answers can be only A and B considering the slope is positive. C and D choices have negative slope (m < 0).
However, the value of slope also affects the graph. If the slope has a lot of value, then the graph will head to y-axis.
But if the slope has a little value then the graph will head to x-axis instead.
After all, when converting to the slope-intercept form. We don't need to find the x-intercept right away, just one glance at the graph along with the equation and we are able to answer it.
Thus, the answer is B choice.
I know it is a long, boring explanation. But providing a quality answer is what I'm trying to do. I may not be able to explain that good or whatever. But with an explanation, I hope it will benefit you someday, after all. An explanation can help you in a test. Thanks for reading and I hope this helps you.
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answers
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
Fill in the table for side length and area of different squares.
Answers
Answer:
a) 9
b) 10,000
c) 625
d) [tex]s^2[/tex]
Step-by-step explanation:
[tex]We\ know\ that\ Area\ of\ a\ square\ with\ side\ n=n^2\\a) 3^2 =3*3=9\\b)100^2=100*100=10,000\\c)25^2=25*25=625\\d) s^2=s^2[/tex]
Help I have like 10 minutes
Answers
Answer:
Option C
Step-by-step explanation:
please mark me brainliest and 5 star
If a driver uses 1/ 10 of gas every day what fraction of a tank will he use in 1 week
Answers
The fraction of gas the driver use in one week is 7/10 of a tank.
Fraction of gas the driver use in one weekA fraction is a number which has a numerator and a denominator. such as 7/10
Numerator refers to the upper or top value. 7 is the numerator.
Denominator refers to lower or bottom value. 10 is the denominator.
Fraction of gas used in a day = 1/10Number of days in a week = 7 daysFraction of gas the driver use in one week = Fraction of gas used in a day × Number of days in a week
= 1/10 × 7
= (1 × 7) / 10
= 7/10 of a tank
Therefore, the fraction of gas the driver use in one week is 7/10 of a tank.
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Q7: Express each of the following:
a) 4.5m2 in cm2
Answers
1m2 = 10000cm2
4.5m2 = 25000cm2
What is the image of the point (-2,4)(−2,4) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Answers
(4, 2) is the point after 270° rotation of point (-2,4)
WHAT IS IMAGE OF A SPECIFIC POINT IN GRAPH OF MATHEMATICS ?Tradition holds that the reflection of point P across the line, denoted by the word P', is the "image" of point P. (pronounced "P prime"). Next to the aforementioned illustration, click "show distances." It is evident that the point P', which is the image of P, is by necessity on the same side of the line as P.
CALCULATIONTo find the image of a specific point after rotation of the point about its origin we will use the formula (y,-x)
so applying this formula we get the co-ordinates (4,2).
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For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 3 or greater than 5.
Answers
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
What is Probability?Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability.
According to the given information:When two dice are rolled, the total number of possible outcomes is 36.
sum possibilities probability(favorable/ total outcomes of the event)
2 (1,1) 1/36
3 (1,2) , (2,1) 2/36
4 (2,2), (3,1) , (1,3) 3/36
5 (4,1), (1,4),(2,3),(3,2) 4/36
6 (1,5),(5,1),(2,4),(4,2),(3,3) 5/36
7 (2,5),(5,2)(1,6),(6,1),(3,4),(4,3) 6/36
8 (2,6),(6,2), (5,3),(3,5),(4,4) 5/36
9 (3,6),(6,3),(5,4),(4,5) 4/36
10 (5,5),(4,6),(6,4) 3/36
11 (6,5),(5,6) 2/36
12 (6,6) 1/36
probability that the sum will be less than 3 or greater than 5 = probability for the sum to be 2 + probability for the sum to be 6 + probability for the sum to be 7 + probability for the sum to be 8 + probability for the sum to be 9 + probability for the sum to be 10 + probability for the sum to be 11 + probability for the sum to be 12.
= (1/36) + (5/36) + (6/36) + (5/36) + (4/36) + (3/36) + (2/36) + (1/36)
= (1 + 5 + 6 + 5 + 4 + 3 + 2 + 1)/36
= 27/36
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
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Gasoline costs 1.05 euro per liter in France. What is the price in dollars per gallon?
Answers
The price in dollars per gallon is 4.02 dollars per gallons.
How to find the price of gasoline in dollars per gallon?Gasoline costs 1.05 euro per litre in France.
The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.
Then, equate it the quantity of litres to gallons.
Hence,
1 euro = 1.01 dollars
1.05 euro = ?
cross multiply
price = 1.05 × 1.01
price = 1.0605 dollars
1 litres = 0.264172 gallons
Therefore,
cost = 1.0605 / 0.264172
cost = 4.01552442257 dollars per gallons
cost = 4.02 dollars per gallons
Therefore, the price in dollars per gallon is 4.02 dollars per gallons.
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I need help with this
Answers
Answer:
90 degrees
Step-by-step explanation:
Hope thishelps. :) :D
this 2 step equation is a pain -8×+4=-52
Answers
Answer:
6
Step-by-step explanation:
4-52=48
48÷8=6
this is correct :)
Answer:
x=7
Step-by-step explanation:
-8x+4=-52
First remove the four by subtracting 4 from -52
-8x= -56
Then, you would want the variable (x) by itself, so you divide by -8 (Dividing a negative by a negative makes a positive)
x=7
To confirm this answer is right, plug in 7 as the variable and make sure you get -52
(-8*7)+4= (-52)
. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?
Answers
Answer:
"3 hours* (460 dives/ 12 hours)= 115 dives."
"The sea turtle made 115 dives in 3 hours"
Step-by-step explanation:
"The sea turtle made 115 dives in 3 hours
Hope this helps :)
PLEASE HELP I WILL GIVE BRAINLIST PLEASE
Answers
Answer: D: 4.5
Step-by-step explanation:
So the Equation I used for this would be
6(2x+3) = 3(6x-3)
In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with
12x+18=18x-9
-12x +9
27=6x
Divide to get X by itself
and your left with
4.5 = x
Hope it helped.
For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?
A.2
B.3
C.4
D.5
Answers
Answer:
A.2
Step-by-step explanation:
for it to have infinite solutions, the equations need to be identical so you have a 3x and a 2 would be put for a to make 3x-2 since the other side is 3x-2
Which of the following methods of timekeeping is the least precise?
A. Using a Calendar
B. Using a stopwatch
C. Counting your heartbeats
D. Observing the seasons
Answers
Answer:
na D cause imagine always observing the seasons bro
HURRY PLEASE 6TH GRADE MATH HERE. A football field is 100 yards in length. How many inches long is a football field? 300 inches 360 inches 3,000 inches 3,600 inches
answer: 3600
Answers
Answer:
3,600
Step-by-step explanation:
1 yard= 36 inches
36 inches*100= 3,600
__________________________________________________________
Brainliest? I am trying to get to a new rank so I can help more people and I would totally appreciate it if you did!
Merry Christmas!
Answer:
3600
Step-by-step explanation:
(5n²+7)+(-2n-4). Add
Answers
Answer:
Step-by-step explanation: Refer to attachment.
What is the value of x in the equation? 6(x +1) -5x = 8 + 2(x - 1) *
Answers
Answer:
x = 0
Step-by-step explanation:
6 ( x + 1 ) - 5x = 8 + 2 ( x - 1 )
6x + 6 - 5x = 8 + 2x - 2
-x = 0
x = 0
Answer:
x = 0
Step-by-step explanation:
First distribute both sides to simplify the equation
6(x +1) -5x = 8 + 2(x - 1) =
6x + 6 - 5x = 8 + 2x - 2
Combine like terms
x + 6 = 6 + 2x
Subtract x from both sides
6 = 6 + x
Subtract 6 from both sides
0 = x
At the grocery store, 3 pints of ice cream cost $5.70. How much would 20 pints of ice cream cost?
Answers
Answer:
114
Step-by-step explanation:
5.70 TIMES 20 = 114.
5.70/3 = $1.9 per pint
1.9 x 20= $38
Solve the system of equations by the addition method.−2x−y=0 10x+y=−8
Answers
Answer:
(-1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-2x - y = 0
10x + y = -8
Step 2: Solve for x
Elimination
Combine equations: 8x = -8Isolate x: x = -1Step 3: Solve for y
Define equation: -2x - y = 0Substitute in x: -2(-1) - y = 0Multiply: 2 - y = 0Isolate y term: -y = -2Isolate y: y = 2Answer:
Step-by-step explanation:
-2x -y = 0
10x+ y= -8
8x = -8
x = -1
-10 + y = -8
y = 2
(-1, 2)
Write the reciprocal of (-6/7)^5÷7^0
Answers
Answer:
1kekeo4oo4o2oqtñwkakksksjsjdjfjkgkg
Solve the formula for the specified variable
Answers
The variable k can be expressed as follows:
k = 2D / f
How to find the variable in an expression?A variable is a number represented by a letter in an equation or expression.
The variables in the given equation are D, f and k.
But we were asked to make the variable k the subject of the formula.
Therefore,
D = 1 / 2 f k
cross multiply
f k = 2D
divide both sides by f
Hence,
f k / f = 2D / f
k = 2D / f
Therefore, the variable k can be expressed as follows:
k = 2D / f
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