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3 years ago

DE is parallel to AC. Find the measure of angle x and z. Explain how you know.

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

x= 67 degrees and z= 54 degrees

Step-by-step explanation:

Using alternative interior angle, you can see that x is equal to 67 degrees

-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.

-In order to solve for z, you subtract 180-59-67= 54

Hope this helps!

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The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

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3 years ago

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Usimov [2.4K]

Answer:

Step-by-step explanation:

3y-2x<=6

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3 years ago

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mario62 [17]

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5x + 4m = 43my + 6 solve for m

pav-90 [236]

9514 1404 393

Answer:

m = (5x -6)/(43y -4)

Step-by-step explanation:

Subtract 4m+6 to separate m-terms from other terms.

5x +4m -(4m +6) = 43my +6 -(4m +6)

5x -6 = 43my -4m

5x -6 = m(43y -4) . . . . factor out m

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2 years ago