Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11
answer is A.
x = 11
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
Step-by-step explanation:
1.5/4x-1=0.4/x+4
We move all terms to the left:
1.5/4x-1-(0.4/x+4)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: x+4)!=0
x∈R
We get rid of parentheses
1.5/4x-0.4/x-4-1=0
We calculate fractions
(1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0
We add all the numbers together, and all the variables
(+1.5x)/4x^2+(-0.4*4x)/4x^2-5=0
We multiply all the terms by the denominator
(+1.5x)+(-0.4*4x)-5*4x^2=0
Wy multiply elements
-20x^2+(+1.5x)+(-0.4*4x)=0
We get rid of parentheses
-20x^2+1.5x-0.4*4x=0
