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3 years ago

Can someone help me with this? I also would like to understand so if you can show me step by step, that'd be great

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

180=(180-108)+x+(180-4x)

180=72+x+180-3x

180=252-3x

-72=-3x

72=3x

x=24

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What is m ∠DEC if measure of Arc DC = 150° and measure of Arc AB = 90°?

Alenkinab [10]

We know that
Inner angle, has its center at an inner point of the circle.
The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite.
so
m ∠DEC=[Arc DC+Arc AB]/2------> [150+90]/2-----> 120°

the answer is
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3 years ago

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Rzqust [24]

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3 years ago

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abruzzese [7]

Answer:

x^(1/12).

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(x ^ 1/2)^1/6)

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3 years ago

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PtichkaEL [24]

Answer:

$\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3$

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}$

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3$