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2 years ago

Classify the pair of angles. then find the value of x. (need help with 13 & 15!)

Mathematics

1 answer:

vovangra [49]2 years ago

8 0

The value of x from the figures are 18 and 26 respectively

<h3>Vertical and complementary angles</h3>

13) From the diagram, the angles at the corner is 90 degrees. This shows that the sum of the angles is complementary (sum is 90 degrees)

3x + 2x = 90

5x = 90

x = 90/5

x = 18

15) Since the sum of angles on a straight line is supplementary, hence;

6x + x - 2 = 180

7x = 182

x = 182/7

x = 26

Hence the value of x from the figures are 18 and 26 respectively

Learn more on line geometry here: brainly.com/question/1655368

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3 years ago

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3 years ago

-|3n| - 2 = 4 <br><br> a. -8 b. -2 c. 3 d. -3

Ber [7]

Answer:

-2

Step-by-step explanation:

-|3n| - 2 = 4

|3n| = -6

3n = -6 or 3n = -(-6)

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Since 2 is not part of the options, -2 is the only correct answer

6 0

3 years ago

The area of a trapezoid is

horrorfan [7]

Answer:

<h2>The answer is 15cm</h2>

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

$A = \frac{1}{2} (a + b)h$

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

$230 = \frac{1}{2} ( 8 + b) 20$

Reduce the fraction with 2

That's

$230 = (8 + b) \times 10$

Expand the terms

That's

$230 = 80 + 10b$

$10b = 230 - 80 \\ 10b = 150$

Divide both sides by 10

We have the final answer as

Hope this helps you

4 0

3 years ago