Answer:
(x-9)°+6x=180°[by linear pair]
7x-9=180°
7x=180°+9
7x=189°
x=189/7
x=27
(x-9)°=27-9=18°
(6x)°=6×27=162°
The angle measures are 18 degrees and 162 degrees.
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
In the given figure ∠1=x-9 and ∠2=6x
The sum of ∠1 and ∠2 is 180 degrees by linear pair.
∠1 +∠2 =180
x-9+6x=180
Add the x variable terms
5x-9=180
Add 9 on both sides
5x=189
Divide both sides by 5
x=27
Now substitute value of x in angle 1 and angle 2.
∠1=x-9=27-9=18 degrees
∠2=6x=6(27)=162 degrees.
Hence, the angle measures are 18 degrees and 162 degrees.
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A coin bank contains nickels, dimes, and quarters totaling $5.45. If
there are twice as many quarters as dimes and 11 more nickels than
quarters, how many of each coin are in the bank?
Answer:
7 dimes, 14 quarters, and 25 nickels
Step-by-step explanation:
do the math. :)
when solving a quadratic equation by completing a square which of the following is NOT a step you would take?
A. Take half of b, then square it
B. Subtract x squared from both sides
C. Take the square root of both sides
S. Use the following symbol when taking root. +
-
I dont know if you understand the symbol i tried
Answer: D
Step-by-step explanation:
A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3? A 1/18 B 1/4 C 1/3 D 4/9 E 2/3
Answer:
C 1/3
Step-by-step explanation:
The numbers on a 6-sides die are 1, 2, 3, 4, 5, 6.
The number of an 8-sided die are 1, 2, 3, 4, 5, 6, 7, 8.
All the possible sums are:
2, 3, 4, 5, 6, 7, 8, 9,
3, 4, 5, 6, 7, 8, 9, 10,
4, 5, 6, 7, 8, 9, 10, 11,
5, 6, 7, 8, 9, 10, 11, 12
6, 7, 8, 9, 10, 11, 12, 13
7, 8, 9, 10, 11, 12 ,13, 14
The multiples of 3 are shown in bold and italic.
There are 48 possible sums.
16 sums are multiples of 3.
p(numbers whose sum is a multiple of 3) =
(number of outcomes that are multiples of 3)/(total number of possible outcomes)
p(numbers whose sum is a multiple of 3) = 16/48
p(numbers whose sum is a multiple of 3) = 1/3
Answer: C 1/3
Please help.........
Answer: what the heck do you have to answer
Step-by-step explanation:
Are triangle RAT and triangle BUG congruent, similar, or neither? Explain your reasoning.
Ce clasă ești sa văd daca te pot ajuta
How do you identify proportional relationships?
You asked "How do you identify proportional relationships?"
It would be by determining whether two quantities are in a proportional relationship.
"If two polygons are similar, then their corresponding angles are equal in measure." True or false?
O True
O False
Answer:
true hope it helps thanks
Answer:
true
Step-by-step explanation:
if two polygons are congruent(equal) then their corresponding parts are equal
How do you determine which theorem to use to find missing values of a parallelogram
Please look at the worksheet below. Hope it helps!
plzz help Solve the following equation using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.
24x2 + 16x + 2 = 0
Look at the picture....
Answer:
now what
Step-by-step explanation:
Answer:
The graph of g is a vertical stretch of the graph of f.
Step-by-step explanation:
The net of a solid figure is shown below:
4 inches
4 inches
4 inches 4 inches
4 inches
4 inches
4 inches
Which calculation will give the total surface area of the solid figure?
6 x 4 x 4 square inches
4x 6 6 square inches
6 x 4 x 4 x 4 square inches
4 x 6 x 6 x 6 square inches
Answer:
28
Step-by-step explanation:
In the figure below, mROP = 125°.
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
Step-by-step explanation:
step 1. mPOS = 180 - 125 = 55° (supplementary angles)
step 2. mQOS = 125° (vertical angles)
step 3. mQOR = 55° (supplementary angles).
15=1/3x what does x equal
Answer:
Step-by-step explanation:
Divide both sides by 1/3. This operation is equivalent to multiplying both sides by 3.
15*3 = x
x = 45
I don't really understand these Questions..Can you help me?
Answer:
Problem 1: y = 4x + 6
Problem 2: 48 soda bottles per minute
Step-by-step explanation:
Problem 1:
Equation of a line in slope-intercept form is given as y = mx + b.
Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.
Thus,
m = hourly fee = $4
b = initial deposit = $6
Substitute m = 4 and b = 6 into y = mx + b
Equation would be:
y = 4x + 6
Problem 2:
What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute
Using the two points (3, 144) and (8, 384),
Slope = ∆y/∆x = (384 - 144)/(8 - 3)
Slope = 240/5 = 48
Thus, the machine will make 48 bottles per minute
3. A cell phone plan costs $0.20 cents per minute. Lisa
has budgeted $35 a month for her cell phone. How
many minutes Lisa can use each month?
Answer:
175 minutes or 2 hrs and 55 minutes
Step-by-step explanation:
35÷0.20 and you'll get 175
If cell phone plan costs $0.20 cents per minute. Lisa has budgeted $35 a month for her cell phone then 175 minutes Lisa can use each month
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that A cell phone plan costs $0.20 cents per minute.
Lisa has budgeted $35 a month for her cell phone.
We need to find how many minutes Lisa can use each month.
Let us form a proportional equation to find this.
Let x be the number of minutes Lisa can use each month.
0.20/1=35/x
Apply cross multiplication
x=35/0.2
x=175
Hence, 175 minutes Lisa can use each month.
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15 feet by 120 inches area
Answer:
21600 In.
Step-by-step explanation:
First, turn 15 feet into inches
15*12 is 180
then do 120*180 which equals 21600 In.
pls help ;/ not hard btw
Simplify the following and write with positive exponents:
5z-5(3z)-2
Answer:
[tex] - 10z - 2[/tex]
Step-by-step explanation:
this is simplify
Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour
Answer:
14 miles per hour
Step-by-step explanation:
The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour
HELP ASAP PLEASE
The expression |-2-(-3) can be used to find the difference between point A and which other point?
A. Point B
B. Point C
C. Point D
D. Point E
Answer:
C. Point D
Step-by-step explanation:
Distance between two points
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
If both points have the same y-coordinate (y=z), then
[tex]d = |w - x|[/tex]
Point A has coordinates (-2,3). Point D has coordinates (-3,3). The distance between them is
[tex]d = | -2 - (-3) |[/tex]
Thus the correct choice is
C. Point D
Which is the solution
Answer:
Step-by-step explanation:
Since this is a test/homework I'll give a hint.
For a linear equation, you have no idea what x and y is, but thats ok! The test itself has already given you 4 options, so you can just input the x/y coordinates, and if they fit, good for you! If they don't, you may need to try again. There are other more complex and faster ways, but they are (a) more complex.
Hope this helps!
Solve for the angles in the triangle below.
A
70
B.
C
Blank #1 - what is angle y (where B is)?
Blank #2 - what is angle x (where C is)?
Answer:
y=70°(base angle of isosceles triangle)
in triangle ABC
70°+x°+y°=180°{sum of interior angle triangle}
70+x+70=180
x=180-140=40°
Step-by-step explanation:
x=40
y=70
2. Find the distance between point A and point B.
5 units
6 units
7 units
8 units
Solve the System of equations -8x+3y= -17 and 3x-y=7 by combining the equations.
Answer: x = 1, y = -3
Step-by-step explanation: you're welcome :)
Answer:
the answer is (x,y) (4,5)
A cereal company, Brand A, claims that it has the best-tasting cereal in the nation. To prove this, blind taste tests are set up at stores
across the nation. In the tests, consumers taste unmarked samples of the cereals made by Brand A, Brand B, and Brand C; then
choose the sample that tasted the best.
According to the results of the taste tests, Brand A was selected most often as the best-tasting cereal. Which of the following is true?
Answer:
Please include the chocsies
Step-by-step explanation:
If f(x)=-2x+5, find f(4).*
Answer: x=-1/2y+5/2
Step-by-step explanation:
Step 1: Flip the equation.
−2x+5=y
Step 2: Add -5 to both sides.
−2x+5+−5=y+−5
−2x=y−5
Step 3: Divide both sides by -2.
−2x/-2=y-5/-2
Find the range of the following graph
Answer:
-1 < y < 7
Step-by-step explanation:
< and not ≤
because the end points are not included
Factor the expression.
3x + 6
The factored expression is
Answer:
3(x+2)
3x+6
hope it's helpful ❤❤❤❤
THANK YOU.
#
Simplify the following fraction:
18/66
Plz help
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
What is the GCF of both numbers:
the GCF is 6.
6 goes into 18, 3 times
6 goes into 66, 11 times
so the simplified version is 3/11
HHHeeelllp please sos
Answer:
30 degrees
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
BRAINLIST!!! The area of Alex's room is 168 square feet. If his room is a rectangle and one side is 12 feet, how long is the other side.
Write an equation to find the missing length of Alex's room. Let x = missing length in feet
Solve to find the missing length of Alex's room
Answer:
the missing length is 14 feet.
Step-by-step explanation:
a = L × W
168ft² = 12 × W - divide both sides of the equation by 12
- 168 ÷ 12 = 14
168ft² = 12 × 14