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JulijaS [17]
3 years ago
8

O || u find the measure of < 3?

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

vertical angles

∠1 and ∠3 are vertical angles. Their measures are equal, so m∠3 = 90 . ∠1 and ∠2 are supplementary.

Step-by-step explanation:

Remember in every triangle, the sum of the angles adds to 180 degrees. So let us call the smallest angle's measure "A". The largest angle is 3A and the third angle is A+10. So A + 3A + (A + 10) = 180.

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beks73 [17]

Answer:

66

Step-by-step explanation:

(z-33)/z = 1/2

2z-66=z

z=66

6 0
3 years ago
What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?
olchik [2.2K]

Option A: \frac{1}{3} is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}

Also,

\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}

Dividing A'C' by AC, we have,

\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}

Thus, \frac{1}{3} is the dilation factor

3 0
3 years ago
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Answer:B

Step-by-step explanation:

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Elden [556K]

Answer:

E = {0, 1, 2, 3)

Step-by-step explanation:

  • <u>Integer</u>: a number with no decimal or fractional part, from the set of negative and positive numbers, including zero
  • < means less than
    > means more than

E = {0, 1, 2, 3)

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What conditions would be enough to prove that P is the circumcenter of HJK ? Select all that apply.
nadezda [96]

Answer:

B trust me

Step-by-step explanation:

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