Step-by-step explanation: We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.

Also, given that

∠ABE = (5y - 18)°.

We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.

That is,

$\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)$

Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.

That is

$\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)$

Adding equations (i) and (ii), we get

$y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,$

and from equation (ii), we get

$x=180-33=147.$

Thus, x° = 147° and y° = 33°.

4 0

3 years ago

Which expression is equivalent to x+7+8x?

Trava [24]

Please provide the multiple choice options in the "ask about this question" section directly below your original question.

5 0

3 years ago

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-28+4x=4(x-7) how many solutions marking brainlest

Stolb23 [73]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−28+4x=4(x−7)

Step 1: Simplify both sides of the equation.

−28+4x=4(x−7)

−28+4x=(4)(x)+(4)(−7)(Distribute)

−28+4x=4x+−28

4x−28=4x−28

Step 2: Subtract 4x from both sides.

4x−28−4x=4x−28−4x

−28=−28

Step 3: Add 28 to both sides.

−28+28=−28+28

0=0

Answer:

All real numbers are solutions.

8 0

3 years ago

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