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Exponential and Logistic Functions — Unit test Answers

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Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

Question illustration
A
58 cm
B
75 cm
C
88 cm
D
116 cm
2
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Triangle A B C is cut by line segment F G. Line segment F G goes from side A B to side A C. The length of B F is x + 6, the length of F A is x + 1, the length of C G is x + 3, and the length of G A is x minus 1.

Question illustration
A
1
B
3
C
6
D
9
4

Which statements are correct? Select three options.

A
△BCD is similar to △BSR.
B
StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction
Option B
C
If the ratio of BR to BD is , then it is possible that BS = 6 and BC = 3.
Option C
D
(BR)(SC) = (RD)(BS)
E
StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction
Option E
5

Line segment JL is an altitude in triangle JKM.

Question illustration
A
JKM is a right triangle because KL + LM = 15.3.
B
JKM is a right triangle because KL + LM = 18.2.
C
JKM is not a right triangle because KL + LM ≠ 15.3.
D
JKM is not a right triangle because KL + LM ≠ 18.2.
6

Points Q and R are midpoints of the sides of triangle ABC.

Question illustration
A
10 units
B
14 units
C
20 units
D
32 units
7

Triangles ABC and ADE are similar, as shown. Which must be true? Check all that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
G
Option
Option G
8

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle.

Question illustration
A
ΔJKM
B
ΔMKL
C
ΔKML
D
ΔLJK
9

Triangle MRN is created when an equilateral triangle is folded in half.

Question illustration
A
units
Option A
B
4 units
C
units
Option C
D
8 units
10

The vertices of triangle ABC are A(5,2), B(–1,–6) and C(1,5). If ΔDEF is similar to ΔABC and , which could be the coordinates of vertices D and E?

Question illustration
A
D(–4,2) and E(–4,–1)
B
D(–3,–1) and E(–1,1)
C
D(–5,3) and E(–5,1)
D
D(–2,–2) and E(2,0)
11

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.

Question illustration
A
12 units
B
15 units
C
20 units
D
24 units

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