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2 years ago

Stuck on this question. Please Help!

Mathematics

1 answer:

earnstyle [38]2 years ago

8 0

Answer:

x = 19 degrees

Step-by-step explanation:

Hi there!

We're given that CD = DE. This makes angle ECD equal to 38 degrees (equal to angle CED).

The sum of the interior angles in a triangle is 180 degrees. Now, we can use this information to find angle D:

180-38-38=D

D=104

Therefore, angle D is 104 degrees.

This is a parallelogram, so angle B is also 104 degrees.

The sum of the interior angles in a quadrilateral is 360 degrees. Now, we can use this to find angle A:

360-104-104=A+C

152=A+C

Keep in mind that because this is a parallelogram, angles A and C are equal:

152=2A

A=76

Therefore, angle A is 76 degrees.

To solve for x, we can use the following equation:

3x+x=76

4x=76

x=19

Therefore, x is 19 degrees.

I hope this helps!

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Step-by-step explanation:

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Read 2 more answers

Can someone please answer this I don’t understand!

Dovator [93]

The coordinates of X are (5, 11).

Solution:

Given points of the line segment are P(2, 2) and T(7, 17)

Let X be the point that partitions the directed line segment PT in the ratio 3 : 2

Using section formula, we can find the coordinate of the point that partitions the line segment.

Section formula:

$$X(x, y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=2, y_{1}=2, x_{2}=7, y_{2}=17$ and m = 3, n =2

Substitute these in the section formula,

$$X(x, y)=\left(\frac{3 \times 7+2 \times 2}{3+2}, \frac{3 \times 17+2 \times 2}{3+2}\right)$

$$=\left(\frac{21+4}{5}, \frac{51+4}{5}\right)$

$$=\left(\frac{25}{5}, \frac{55}{5}\right)$

$=(5, 11)$

X(x, y) = (5, 11)

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3 years ago

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Step-by-step explanation:

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