M + 5f = 25....multiply by -1
m + 10f = 40
----------------
-m - 5f = -25 (result of multiplying by -1)
m + 10f = 40
-----------------add
5f = 15
f = 3
m + 10f = 40
m + 10(3) = 40
m + 30 = 40
m = 40 - 30
m = 10
so the membership fee (m) = 10 and the sessions(f) = 3
Infinitely many solutions
8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
-3(x+3)=-3(x+1)-5
-3x-9=-3x-3-5
-3x-9=-3x-8
The question has no solution
Answer:
Step-by-step explanation:
Given
Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;
Substitute the values of Area, HE and EF
Divide both sides by 4
Subtract 12 from both sides
<em>Hence, the length of HG is 5mm</em>
