softballlover090404 softballlover090404
  • 03-11-2020
  • Mathematics
contestada

In △ACD, if AC ≅ AD, m∠A = (3x – 4)°, m∠C = (5x + 1)°, and m∠D = (7x – 27)°, find x and the measure of each angle. *

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 09-11-2020

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

Answer Link

Otras preguntas

how did the Tokugawa Shagunate stabilize Japan
Please help me :> If you can
what did France do during the triple entente
What is each of the expression written using each base only once? 10^10 x 10^10
f of x equals -10 + 3 x / 5 anwser choice a f^-1 (x) = - xb f^-1(x) = 3/4x - 3/2c f^-1 (x) = 5x + 10/ 3 d f^-1(x) = x - 1​
Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer
identify the sentence that uses a contraction ?correctly A. I thought you'd never get here! C. I thought youd' never get here!
What is the white part of each water molecule and what are the red parts of the water molecules?
A point where two or more angle bisector meet is called ?
A field is 80m long and 60m wide. Find the ratio of its width to its length.​