The correct answer is D or the last choice. First, Pair up the values of both triangles in descending order then divide it. Having the equal answer will conclude that both triangles are similar.
A.(32/30) = (32/16) = (20/16)
1.067 = 2 = 1.25 = false
B. (110/8) = (80/6) = (60/5.5)
13.75 = 13.33 = 10.90 = false
C. (50/12.5) = (40/10) = (20/10)
4 = 4 = 2 = false
D. (60/30) = (30/15) = (30/15)
2 = 2 = 2 =True
Answer:
NM = 15
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is
(x + 3)² = (x - 3)(x - 3 + 16)
(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL
x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )
- 4x + 9 = - 39 ( subtract 9 from both sides )
- 4x = - 48 ( divide both sides by - 4 )
x = 12
Then
NM = x + 3 = 12 + 3 = 15
Answer:
x = -1
Step-by-step explanation:
The equation is -2x + 3 = 2x +7
Group the terms together. Don't forget to change the sign
-2x -2x = 7-3
-4x = 4
Divide both sides by 4
-x = 1
Flip it over
x = -1
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Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
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If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
