Answer:
x = 28
Step-by-step explanation:
let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)
Now,
The sum of three consecutive integers is 90
i.e.,
(x + 1) + (x + 2) + (x + 3) = 90
x + 1 + x + 2 x + 3 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
x = 28Thus, The value of x is 28
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h2>
(x + 1) + (x + 2) + (x + 3) = 90
(28 + 1) + (28 + 2) + (28 + 3) = 90
28 + 1 + 28 + 2 + 28 + 3 = 90
90 = 90
<span> x/3-2=7
---------------------
SImplify
1/3x - 2 = 7
--------------------------
add 2 to each side
1/3x - </span><span><span>2 </span>+ 2 </span>= <span>7 + <span>2
1/3x = 9
------------------------------
Multiply each side by 3
3 * (1/3x) = 3 * 9
x = 27</span></span>
Answer:
A)
Step-by-step explanation:
Angle FEG and angle DEF are supplementary (They both form a 180 degree angle) so you can conclude:
180 = 119 + angleFEG
angleFEG = 61 degrees
Angle HEG and DEF are vertical angles so you can conclude:
angleHEG = angleDEF
andgleHEG = 119