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3 years ago

!!ASAP!! 1. 25 40 75 2. 40 75 140

Mathematics

1 answer:

Alexeev081 [22]3 years ago

6 0

Answer:

C= 40

D= 75

Alternate interior angle

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Hope it helps...

Have a great day!!!

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George is given two circles, circle O and circle X, as shown. If he wants toprove that the two circles are similar, what would b

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Answer: B

The correct second step for the given proof is;

$\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ and\text{;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}$

by the division property of equality.

Explanation:

We want to find the correct second step for the given proof.

Recall that from division property of equality, when we have;

a=b and c=d, dividing the equations by each other, the equation will still be equal;

$\frac{a}{c}=\frac{b}{d}$

For the given Prove;

statement 1 states that the circumference circle 1 and 2 can be expressed as;

$\begin{gathered} C=2\pi r \\ \text{and} \\ C^{\prime}=2\pi r^{\prime} \end{gathered}$

So, for step 2;

Applying the division property of equality, we have;

$\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ \text{which then equals;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}$

Therefore, the correct second step for the given proof is;

$\begin{gathered} \frac{C}{C^{\prime}}=\frac{2\pi r}{2\pi r^{\prime}} \\ and\text{;} \\ \frac{C}{C^{\prime}}=\frac{r}{r^{\prime}} \end{gathered}$

by the division property of equality.

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2 years ago

Find the value of x. A. 2, b. 4, c. 6, d.8

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What is the equation? I cannot solve it without the equation.

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3 years ago

Write a proportion to find how many points a student needs to score on the test to get the given score. Test worth 50 points; te

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Step-by-step explanation:

Test worth = 50

To obtain a grade percent = 84%

Score to obtain = x

Using the expression :

84% of test worth = x

84/100 * 50 = x

0.84 * 50 = x

42 = x

Score to obtain = 42

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3 years ago

6. Your average grade after 5 tests in Biology is a 65. However, after the most recent test your average increased to a 70. What

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Answer:

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Step-by-step explanation:

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3 years ago

Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

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4 years ago