Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
= 
( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
Right answer is C
We can solve it with the formula
y=mx+b
b is the point where graphic starts
Table C shows us 0 by x, and -4 by y
So the graph starts at (0, -4 )
Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
3x+6=288
3x=282
x=94
the three numbers are 94, 96, and 98
140/100 * 65 = 91 people
Divide 140 by 100 to find 1 percent then multiply by 65 to find 65 percent.
Answer:
m = 55/8 = 6.875
Step-by-step explanation:
Step by step solution :
Step 1 :
7
Simplify —
8
Equation at the end of step 1 :
7
6 - (m - —) = 0
8
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 8 as the denominator :
m m • 8
m = — = —————
1 8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
