573589
573589 573589
  • 21-02-2019
  • Mathematics
contestada

What is the measure of a base angle in this figure?

A.41
B.21
C.31
D51

What is the measure of a base angle in this figure A41 B21 C31 D51 class=

Respuesta :

jimthompson5910 jimthompson5910
  • 21-02-2019

Answer: B) 21

=================================

Explanation:

The base angles are congruent in this isosceles trapezoid, so 7x and 4x+9 are equal to each other

Let's solve for x

7x = 4x+9

7x-4x = 4x+9-4x .... subtract 4x from both sides

3x = 9

3x/3 = 9/3 ..... divide both sides by 3

x = 3

If x were equal to 3, then

base angle = 7*x = 7*3 = 21

or

base angle = 4*x+9 = 4*3+9 = 12+9 = 21

Both base angles are 21 degrees each

Answer Link

Otras preguntas

Terri and Jose are preparing outlines. In preparing an informal outline, Terri will use key words and phrases to list her main points. In preparing a formal out
What does this sign mean?
The Massachusetts Body of Liberties
a^2-a+12=0 I need the roots
What is most likely to happen to the populations of herbivores and carnivores in the ecosystem
How to find square root
In which sentence is the underlined verb in the future perfect progressive tense? At the age of five, she will visit New York City. She will have been visiting
Brainers, please help me out. Thanks a lot.
Solve for x and y: x+y=5 x−y=a
Which BEST describes the characters and style in these stories? A) Both stories have animals, humans, and objects that come to life. B) Both stories personify