The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE (0.1x - 22)

The measure of angle CBE (0.3x - 54)

Step 1

As per the Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

Step 2

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

Step 3

Lets solve the equation for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

Step 4

Answer : The value of x is 415

You might be interested in

What are the x and y-intercepts of the line described by the equation? 3x−9y=10.8

marysya [2.9K]

$3x-9y=10.8\\\\x-intercept\ for\ y=0:\\\\3x-9(0)=10.8\\\\3x-0=10.8\\\\3x=10.8\qquad\text{divide both sides by 3}\\\\\boxed{x=3.6\to(3.6,\ 0)}\\\\y-intercept\ for\ x=0:\\\\3(0)-9y=10.8\\\\0-9y=10.8\\\\-9y=10.8\qquad\text{divide both sides by (-9)}\\\\\boxed{y=-1.2\to(0,\ -1.2)}$