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2 years ago

21. Given I//m. Fill in the blanks to complete the statements below.

Mathematics

1 answer:

faltersainse [42]2 years ago

5 0

a)All points on one line are at the same Collinear points to the other line.

b)The distance between the two lines is called the perpendicular lines.

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Please answer and explain how you did it.

alukav5142 [94]

Refer to the attached image.

Given: $m \angle A = 65^\circ$ and measure of exterior angle at C = $117^\circ$ .

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = $m \angle A + m \angle B$

$117^\circ = 65^\circ+ m \angle B$

$m \angle B = 52^\circ$

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

$m \angle A + m \angle B + m \angle BCA = 180^\circ$

$65^\circ + 52^\circ + m \angle BCA = 180^\circ$

$117^\circ + m \angle BCA = 180^\circ$

$m \angle BCA = 180^\circ - 117^\circ$

$m \angle BCA =63^\circ$

Therefore, the measure of $m \angle B = 52^\circ$ and $m \angle BCA =63^\circ$ .

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2 years ago

What is a prime number grater than 14 but less than 18?

solmaris [256]

It is the number 17.

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3 years ago

Read 2 more answers

According to the nutrition label, one large egg contains 6 grams of protein. This is 10% of the daily value (DV) for protein. Ex

BlackZzzverrR [31]

10% of protein is equal to 6 grams.

100% of protein
60 grams

so
6 / 60
1 / 10

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2 years ago

For the function f(x)=(x+6)^3, rind f^-1(x)

qaws [65]

Answer:

$f^{-1}(x)=\sqrt[3]{x}-6$

Step-by-step explanation:

$f(x)=(x+6)^3$

$y=(x+6)^3$

$x=(y+6)^3$

$\sqrt[3]{x}=y+6$

$\sqrt[3]{x}-6=y$

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2 years ago

A recent study sought to determine if exercising after studying for an exam may help retain information. The 150 student volunte

Shtirlitz [24]

Answer:

The correct answer is (A).

Step-by-step explanation:

Because the data came from 3 groups in a randomized experiment, the appropriate test is a chi-square test for homogeneity.

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2 years ago