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

huge 30 points if you answer
Geometry math question no Guessing and Please show work thank you
You are testing a web application for sql injection vulnerabilities. you send various sql statements which return results on the screen. what kind of sql inject
If the perimeter of a rectangle is 10 times the width of the rectangle, then the length of the rectangle is how many times the width ?
How to solve it and understand it
A wave is traveling in a string at 58 m/s. when the tension is then increased 17%, what will be the resulting wave speed?
How can you tell whether an exponential equation models growth or decay? Use the general form of an exponential expression to explain your answer.
Solve the equation with the replacement set {–59, –9, 9, 59} |34 – x| = 25 59 9, –9 9 9, 59
Find the area of the figure.(sides meet at right angles)
Use this figure to find the value of ∠FOD.