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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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Multiply: 4 5/7 x 6 3/7

leonid [27]

Make the fractions into improper fractions

4 5/7= 33/7 - Multiply the denominator with the whole number. 4*7=28, add 28 with the numerator. 28+5=33 .

6 3/7=45/7 - Multiply the denominator with the whole number. 6*7=42 , add 42 with the numerator. 42+3=45

33/7*45/7

Multiply the numerators together. Multiply the denominators together.

33*45=1485 ( numerators) , 7*7=49 ( denominators)

=1485/49 or in mixed number: 30 15/49

Answer: 1485/49 , 30 15/49

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3 years ago

27=3 raised to power (2x_1)

Ivahew [28]

Answer:

x = 2

Step-by-step explanation:

$27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\$

Bases are equal. So, compare powers

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7 0

3 years ago

Find the slope of the line that passes through the pair of points.<br><br> (–5.5, 6.1), (–2.5, 3.1)

hjlf

Slope of the line is -1.

Step-by-step explanation:

Given points are,

(-5.5,6.1),(-2.5,3.1)

Here,

$x_{1} = -5.5 ,\ \ \ x_{2}=-2.5\\y_{1} = 6.1,\ \ \ y_{2}=3.1$

Slope = m = $\frac{y_{2}-y_{1}}{x_{2}-x{1}}$

Putting values;

$m=\frac{3.1-6.1}{-2.5-(-5.5)}\\m=\frac{-3}{-2.5+5.5}\\m=\frac{-3}{3}\\m=-1$

Slope of the line is -1.

Keywords: Slope, line

Learn more about slopes at:

#LearnwithBrainly

7 0

3 years ago