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3 years ago

DE is parallel to AC. Find the measure of angle x and z. Explain how you know.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

x= 67 degrees and z= 54 degrees

Step-by-step explanation:

Using alternative interior angle, you can see that x is equal to 67 degrees

-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.

-In order to solve for z, you subtract 180-59-67= 54

Hope this helps!

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What is angle F to the nearest degree?

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Answer:

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3 years ago

Is it A) , B) , C), D) , E)

Mrac [35]

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

$1.66..=1 \frac{6}{9}$

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

$x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9$

Convert to mixed number

$15/9=9/9+6/9=1 \frac{6}{9}$

therefore

$1.66..=1 \frac{6}{9}$

Part B) we have

$0.6 < 6\%$

The statement is false

Because

$6\%=6/100=0.06$

substitute

$0.6 < 0.06$ -----> is not true

Part C) we have

$45\% \leq4.5$

The statement is True

Because

$45\%=45/100=0.45$

substitute

$0.45 \leq4.5$ ----> is true

Part D) we have

$5^{2} \geq 16$

The statement is True

Because

$5^{2}=25$

substitute

$25 \geq 16$ ----> is true

Part E) we have

$9.25 > 9\frac{3}{4}$

The statement is false

Because

Convert mixed number to an improper fraction

$9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}$

Convert decimal number to an improper fraction

$9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}$

substitute

$\frac{37}{4} > \frac{39}{4}$ -----> is not true

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3 years ago