Answer:
- 12. x = 6, side = 83
- 13. x = 18, side = 29
- 14. x = 11, sides = 74, 74 and 37
- 15. x = 23, sides = 95, 95 and 108
Step-by-step explanation:
<em>11 is incomplete, can't solve</em>
12
<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>
- 13x + 5 = 17x - 19
- 17x - 13x = 5 + 19
- 4x = 24
- x = 6
<u>Each side is:</u>
13.
<u>Sides are equal as triangle is equilateral</u>
- QR = 2x - 7
- RS = 5x - 61
- QS = x + 11
<u>Finding x by comparing two sides</u>
- 2x - 7 = 5x - 61
- 5x - 2x = 61 - 7
- 3x = 54
- x = 18
<u>Sides are equal</u>
14.
<u>Equal sides of isosceles triangle:</u>
- CD = DE
- 9x - 25 = 6x + 8
- 9x - 6x = 8 + 25
- 3x = 33
- x = 11
<u>Sides are</u>
- CD = DE = 9*11 - 25 = 99 - 25 = 74
- CE = 10*11 - 73 = 110 - 73 = 37
15.
<u>Equal sides of isosceles triangle WXY, WX = WY</u>
- WX = 4x + 3
- WY = 7x - 66
- XY = 5x - 7
- 4x + 3 = 7x - 66
- 7x - 4x = 3 + 66
- 3x = 69
- x = 23
<u>Sides are:</u>
- WX=WY = 4*23 + 3 = 95
- XY = 5*23 - 7 = 108
Let the first number be 'x' and the second number is 'y'
Equation 1: x + y = 52
Equation 2: x - y = 38
Rearranging equation 2 to make either x or y the subject
x = 38 + y
Substituting x = 38 + y into equation 1
x + y = 52
(38+y) + y = 52
38 + 2y = 52
2y = 52 - 38
2y = 14
y = 7
Substitute y = 7 into either equation 1 or equation 2 to find x
x + y = 52
x + 7 = 52
x = 52 - 7
x = 45
x = 45
y = 7
The radius is 8, just divide by 2
Answer:
(f+g)(x) = 60x + 400
Step-by-step explanation:
Given :
Amount in account A:
f(x) = 20x + 100
Amount in account B :
g(x) = 40x + 300
Total amount in Account A and B:
f(x) + g(x) = (20x + 100) + (40x + 300)
(f+g)(x) = (20x + 40x) + (100 + 300)
(f+g)(x) = 60x + 400
Answer:
32
Step-by-step explanation:
Area = a+b/2 * h
6+10/2= 8
8*4 = 32
