5x + 20 = 90 - a = 90 - (3x + 40)
5x + 20 = 90 - 3x - 40 = 50 - 3x
5x + 3x = 50 - 20
8x = 30
x = 30/8 = 15/4
b = 3(15/4) + 40 = 45/4 + 40 = 51.25
The measure of a supplementary angle is 180 - 51.25 = 128.75
9514 1404 393
Answer:
3.4%
Step-by-step explanation:
The total amount due is ...
A = P(1 +rt/12) . . . . . principal P, annual rate r, t months
33829.50 = 28500(1 +66/12r)
1.187 = 1 +5.5r . . . . . divide by 28500, simplify
0.185/5.5 = r = 0.034 = 3.4%
The interest rate on the loan is 3.4%.
we know that, the mixture amount is the sum of 11 + p, or
11 + p = m.
we also know that, the total value is also a sum of
25.3 + 4.5p = 3.29m.
No, any integer is a rational number tho
A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
