A. 9
B. 24
C. 6
D. 16
Step-by-step explanation:
Given ratios are;
A. 2 : 3 = 6 : x
Product of mean = Product of extreme
Dividing both sides by 2
B. 4 : 7 = x : 42
Product of mean = Product of extreme
Dividing both sides by 7
C. 2x : 48 = 3 : 12
Product of extreme = Product of mean
Dividing both sides by 24
D. 12 : 15 = x : 20
Product of mean = Product of extreme
Dividing both sides by 15
Problem 4
a)
MR = AG is a true statement because MARG is an isosceles trapezoid. The diagonals of any isosceles trapezoid are always the same length.
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b)
MA = GR is false. Parallel sides in a trapezoid are never congruent (otherwise you'll have a parallelogram).
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c)
MR and AG do NOT bisect each other. The diagonals bisect each other only if you had a parallelogram.
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Problem 5
a)
LC = AJ (nonparallel sides of isosceles trapezoid are always the same length)
x^2 = 25
x = sqrt(25)
<h3>x = 5</h3>
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b)
LU = 25
UC = 25 because point U cuts LC in half
LC = LU+UC = 25+25 = 50
AJ = LC = 50 (nonparallel sides of isosceles trapezoid are always the same length)
AS = (1/2)*AJ
AS = (1/2)*50
<h3>AS = 25</h3>
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c)
angle LCA = 71
angle CAJ = 71 (base angles of isosceles trapezoid are always congruent)
(angleAJL)+(angleCAJ) = 180
(angleAJL)+(71) = 180
angle AJL = 180-71
<h3>angle AJL = 109 </h3>
Answer: 18 = 36.
Step-by-step explanation: (18x1) + 18 = 36
X = -3, 3, 2i, -2i
Hope this helps! :)
Answer: i know for a fact that one of the options is SAS
Step-by-step explanation:
