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marta [7]
3 years ago
12

Find the values if x and y

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles

10x - 61 + x + 10 = 180

Simplify

11x - 51 = 180

Isolate the x

11x - 51 (+51) = 180 (+51)

11x = 231

Divide 11 from both sides

11x/11 = 231/11

Divide

x = 21

180 = 18y + 5 + x + 10

180 = 18y + 5 + (21) + 10

Simplify

180 = 18y + 36

Subtract 36 from both sides

180 (-36) = 18y + 36 (-36)

144 = 18y

Divide 18 from both sides

144/18 = 18y/18

y = 144/18

y = 8

x = 21, y = 8 are your answers

hope this helps


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7.8 billion pounds of candy per year how much per month per person with 303 million people
likoan [24]
7.8 billion/12 is how much per month:
7,800,000,000/12 = 650,000,000 candy per month.


To find out per person, divide the total amount of candies by the months in a year, then divide that amount to the population.
7,800,000,000/12 = 650,000,000
650,000,000/303,000,000 = 2.14 (Round down) = 2

Answers:
Per month: 650,000,000 candies
Per person: 2 candies
8 0
3 years ago
Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.
photoshop1234 [79]

The percentile rank for 10 will be 10th.

<h3>What is percentile rank?</h3>

The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.

Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100

For 10,

Percentile rank = {[0 + 0.5]/5} x 100 = 10th

For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x  100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5  x  100 = 70th

For 30,

Percentile rank = [4 + 0.5]/ 5  x 100 = 90th

The percentile rank for 10 will be 10th.

To know more about percentile range follow

brainly.com/question/24245405

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7 0
2 years ago
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the bas
BigorU [14]

By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Jennifer needs to use a ladder to clean a second-floor window on a building.

If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.

Then the length of the ladder will be

H² = 13² + 4²

H² = 169 + 16

H² = 185

H = 13.6 ft

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

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7 0
2 years ago
Factor Completely.<br> 3x^2-75
alexandr402 [8]

Answer:

3(x+5)(x−5)

Step-by-step explanation:

5 0
3 years ago
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84% -Justin
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