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Homework answers / question archive / Direction: Choose the letter that corresponds to the correct answer

Direction: Choose the letter that corresponds to the correct answer

Chemistry

Direction: Choose the letter that corresponds to the correct answer.
1) Which angle is adjacent to KCL ?
A) JCK C) KCB
B) BCL D) ACJ
2) Name two angles that form a linear pair.
A) QOS and
SOU
C) POU and
SOT
B) TOU and
ROS
D) POQ and
QOS
3) Name two angles that are adjacent to WTV.
A) WTV and 3 C) 1 and 3
B) 2 and 3 D) 1 and 2
4) Which angle forms a linear pair with TRP?
A) MRP C) LRT
B) LRM D) TRN
5) Name two angles that are adjacent to MRN.
A) LRM and
LRT
C) LRM and
PRN
B) TRP and
LRT
D) TRP and
PRN
6) If the sum of the measures of two angles is 90, the
angles are
A) supplementary. C) complementary.
B) adjacent. D) a linear pair.
7) Name two complementary angles.
A) SVT and
TVU
C) SVT and
UVW
B) RVS and
SVT
D) RVT and
TVW
8) Determine the measure of an angle that is supplementary
to SJA, if m SJA = 67.
A) 113 C) 83
B) 67 D) 33
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 19
9) An angle that is the supplement of an acute angle must
be ________.
A) straight C) right
B) obtuse D) acute
10) If m 1 = 39 and 1 and 2 form a linear pair, find
m 2.
A) 78 C) 131
B) 51 D) 141
11) If m 15 = 22, what is m 14?
A) 68 C) 158
B) 118 D) 78
12) Find x if m 4 = 64.
A) 26 C) 9
B) 39 D) 13
13) If 12 14, and m 12 = 75, what is m
15?
A) 15 C) 105
B) 75 D) 5
14) If and are opposite rays,
m ABD = 3x + 4 and m EBC = 2x - 14,
find m EBC.
A) 90 C) 20
B) 64 D) 26
15) If a line, j, is in a plane and point B is on j, how many
lines in that plane are perpendicular to j at B?
A) infinite two
B) zero one
16) What type of angles are
A) consecutive interior C) alternate interior
B) vertical D) alternate exterior
17) In the figure, a nd r is a tranversal. If
what is
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 20
A) 51 C) 78
B) 12 D) 102
18) What is the value of y?
A) 10 C) 18
B) 12 D) 15
19) In the figure l || m || n and s and r are transversals. If m
1 = 110 and m 2 = 60, find m ABC.
A) 130 C) 60
B) 110 D) 170
20) In the figure p m, m 2 = x + 50 and m 5 = 4x -
30. Find m 1.
A) 82 C) 32
B) 40 D) 70
21) In the figure, which angle is a corresponding angle with
3?
A) 7 C) 8
B) 5 D) 6
22) Lines s and t are parallel and r is a transversal. Which
angles are
congruent to 4?
A) 2, 5, 8 C) 2, 6, 8
B) 3, 5, 7 D) 3, 7, 8
23) Classify 9 and 15.
A) alternate interior
angles
C) consecutive interior
angles

B) corresponding angles D) alternate exterior
angles

24) In the figure, g || h and a is a transversal. If what is the
value of n?
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 21
A) 7.5 C) 12
B) 18 D) 15
25) If m 7 = 3x - 15 and m 3 = 2x + 7, find m 3.
A) 51 C) 66
B) 129 D) 22
26) Lines a and b are parallel because 1 and 2 are
_____.
A) congruent alternate
exterior angles
C) congruent
corresponding angles
B) congruent
supplementary angles
D) congruent alternate
interior angles
27) Identify the parallel segments in the figure.
A) ??? ??? and ?? ???? C) ??? ??? and ?? ????
B) no segments are parallel D) ??? ??? and ??? ???
28) Find x so that g || h.
A) 8 C) 7
B) 6 D) 9
29) Find x so that a n.
A) 36 C) 50
B) 54 D) 14
30) Find the value of x so that l n.
A) 3 C) 17
B) 6 D) 24
31) What is if and
?
A) 54 C) 116
B) 62 D) 64
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 22
32) Find if and .
A) 108 C) 72
B) 30 D) 48
33) If and , what is
?
A) 40 C) 122
B) 140 D) 58
34) Determine if .
A) 33 C) 57
B) 90 D) 147
35) Find the value of x.
A) 13.2 C) 35.6
B) 27.6 D) 16.8
36) The sum of the measures of the angles of a triangle is
____ .
A) 360 C) 180
B) 90 D) 270
37) Find the value of y in
A) 38 C) 88
B) 76 D) 92
38) Find m B if m A = x + 3 and m B = 3x + 1.
A) 27 C) 30
B) 81 D) 82
39) Find the value of x if ABC is equilateral and m A =
3x + 18.
A) 60 C) 14
B) 26 D) 39
40) Find the value of y.
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 23
A) 89 C) 54
B) 88 D) 53
41) What is a possible measure of ?
A) 27 in. C) 7 in.
B) 19 in. D) 31 in.
42) List the sides in order from greatest to least measure.
A)
, ,
C)
, ,
B)
, ,
D)
, ,
43) List the angles in order from least to greatest measure.
A) B, C, A
B) B, A, C
C) C, A, B
D) A, B, A
44) What is a true statement about m P?
A) m P m R
B) m P = m R
C) m P m R
D) m P m R
45) Determine which set of numbers cannot be the measures
of the sides of a triangle.
A) 3, 4, 5 C) 15, 15, 15
B) 27, 13, 28 D) 12, 4, 8
46) If two sides of a triangle both measure 6, what could not
be the measure of the third side?
A) 12 C) 3
B) 2 D) 6
47) Determine which set of numbers cannot be the measures
of the sides of a triangle.
A) 7, 15, 8 C) 16, 8, 22
B) 7, 13, 7 D) 11, 4, 9
48) What is the range of the values of the side x of a triangle
if the other two sides are 11 in. and 7 in.?
A) 18 < x < 4 C) x < 3 or x > 18
B) 4 < x < 18 D) x 18
49) Determine which set of numbers could be the measure of
the sides of a triangle.
A) 4, 12, 7 C) 13, 14, 28
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 24
B) 2, 9, 6 D) 4, 7, 6
50) Are the triangles similar? If so, state the reason.
A) Yes; SSS C) No
B) Yes; SAS D) Yes; AA
51) Vicki is trying to determine the height of a mast on a
sailboat. The mast casts a shadow 10 feet long, while
Vicki's shadow is 35 inches long. If Vicki is 5 feet 3
inches tall, what is the height of the mast?
A) 34 ft C) 15 ft
B) 18 ft D) 29 ft
52) Is Why or why not?
A) no; angles are not
congruent
C) yes; SSS Similarity
B) yes; AA Similarity D) no; sides are not
congruent
53) Find the value of n.
A) 8.4 C) 8
B) 6 D) 14
54) Determine whether the triangles are similar. If so, tell
which similarity test is used.
A) Yes; SSS C) No
B) Yes; SAS D) Yes; AA
55) Find the value of n.
A) 17 C) 13
B) 19 D) 15
56) Find n so that
A) 18 C) 9
B) 20 D) 50
57) A wheelchair ramp has a slope of . If its rise is 4
feet, find its run.
A)
48 feet
C) 18 feet
B) 54 feet D)
2 feet
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 25
58) A tower casts a 48m shadow. Juan is 3m tall and has a
shadow 2m long while standing beside the tower. How
tall is the tower?
A) 72 3.2
B) 32 7.2
59) In EG = 18, EH = 6, and FG = 24. What is
FL?
A) 20 C) 8
B) 16 D) 12
60) Solve for n.
A) 4 C) 5
B) 25 D) 14
61) If AC = 12, AB = 8 and CE = 19.2, find DE.
A) 8.4 C) 12.8
B) 9.8 D) 28.8
62) Solve for x.
A) 20.3 C) 16
B) 18 D) 11.1
63) Complete the proportion so that ||
A) RS C) HR
B) HI D) HJ
64) L, M, and N are midpoints of the sides of If
LM = 4x and PR = 16, what is the value of x?
A) 8 C) 1
B) 4 D) 2
65) Complete the proportion = so that .
A) KW C) KX
ALDERSGATE COLLEGE Instructional Module in Math 1– PLANE TRIGONOMETRY
Prepared by Emerson Y. Castañeto Page 26
B) WR D) KR
66) Solve for n.
A) 8 C) 4
B) 18 D) 9
67) Determine the area of .
A) 165 in2 C) 495 in2
B) 225 in2 D) 330 in2
68) The area of a triangle is 63 cm2. If the height is 7cm, find
the measure of the base.
A) 9 cm C) 36 cm
B) 4.5 cm D) 18 cm
69) Find the area of an equilateral triangle whose perimeter
is 30 inches.
A) 25 in2 C) 50 in2
B)
in2 D) in2
70) Find the altitude to the base of a triangle with an area of
342 square units and a base length of 24.
A) 28.5 units C) 32 units
B) 26.5 units D) 30 units
71) What is the area of ?
A) 192 yd2 C) 120 yd2
B) 160 yd2 D) 96 yd2

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