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3 years ago

HELP!!! BRAINLIEST ANSWER!!!!

Mathematics

2 answers:

vfiekz [6]3 years ago

7 0

Answer:

x = 26, y = 9

Step-by-step explanation:

Add the bottom equations and set them equal to 180

8x -28 = 180

8x = 208 divide each by 8

x = 26

Find the bottom right, 3(26) - 11

78 - 11 = 67

The unlabeled top left box is also equal to 67 degrees.

So 2y + 5 = 23

2y = 18

y = 9

madreJ [45]3 years ago

4 0

Answer:

The answer is x = 26 and y = 31.

Step-by-step explanation:

To solve this problem, we should first solve for the value of x. Since the angles that measure (5x-17) and (3x-11) are supplementary, this means that they must add up to 180 degrees. This allows us to make the following equation:

(5x - 17) + (3x-11) = 180

When we combine like terms on the left side of the equation, we get:

8x - 28 = 180

Then, we can add 28 to both sides.

8x = 208

Finally, we can divide both sides by 8 to get x alone on the left side of the equation.

x = 26

Now that we know our value for x, we must find our value for y. To do this, we should notice that the angle 3x-11 has a vertical angle (an angle that is directly across from it). By the definition of vertical angles, this angle must have the same measure, meaning it will also have the value 3x - 11. This vertical angle is complementary to the angle 2y + 5, which means that their sum must equal 90 degrees; therefore, we can make the following equation:

3x - 11 = 2y + 5

Since we found our value of x already in the above equation, we can substitute this value into this equation:

3(26) - 11 = 2y + 5

Next, we can perform the multiplication on the left side of the equation.

78 - 11 = 2y + 5

Then, we can perform the subtraction on the left side of the equation.

67 = 2y + 5

Next, we should subtract 5 from both sides of the equation.

62 = 2y

Finally, we should divide both sides of the equation by 2 to get the variable y by itself on the right side of the equation.

y = 31

Therefore, the answer to this problem is x = 26 and y = 31.

Hope this helps!

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