Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Please help studying for finals

Please Help Studying For Finals class=

Sagot :

SenorMathWiz

Answer:

C angle H = 75.4

Step-by-step explanation:

In order to find the measure of angle H we must first find the value of x

Firstly it's good to know that the sum of the angles in a quadrilateral always add up to 360 degrees

Knowing this we can create an equation.

Since the angle measures must add up to 360 degrees we know that angle F + angle E + angle H + angle G = 360

Plugging in the given expressions for each angle we acquire

14x - 11 + 5x + 21 + 6x + 16 + 8x - 7

We can now solve for x

==> combine like terms

33x + 19 = 360

==> subtract 19 from both sides

33x = 341

==> divide both sides by 33

x = 10 1/3

Now that we have identified the value of x and we can plug in x = 10 1/3 into the given expression of angle H and evaluate to get the measure

Angle H = 8x - 7

==> plug in x = 10 1/3

Angle H = 8(10 1/3) - 7

==> multiply 8 and 10 1/3

Angle H = 82.7 - 7

==> subtract 7 from 82.7

Angle H = 75.6

C is the closest answer

tot1466

Answer:

C. m∠H = 75.4°

Step-by-step explanation:

all sides of a quadrilateral add up to 360°

So, (5x + 21) + (14 - 11) + (6x + 16) + (8x - 7) = 360

Add like terms:

33x + 19 = 360

33x = 360 - 19

33x = 341

x = 341/33

x = 10.33...

Substitute:

∠H = 8x - 7

∠H = 8(10.3) - 7

∠H = 75.4°

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.