Answer:
C. 62
Step-by-step explanation:
ADC is 90 degrees. 90 - 28 = 62
The side lengths could be 10, 24 and 26 units.
We must first find the side lengths. We use the distance formula to do this.
For RT:
For ST:
For TR:
Our side lengths, from least to greatest, are 5, 12 and 13.
To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.
Answer:
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Step-by-step explanation:
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Answer:
1.
5
x
−
2
y
=
4
; (−1, 1)
2.
3
x
−
4
y
=
10
; (2, −1)
3.
−
3
x
+
y
=
−
6
; (4, 6)
4.
−
8
x
−
y
=
24
; (−2, −3)
5.
−
x
+
y
=
−
7
; (5, −2)
6.
9
x
−
3
y
=
6
; (0, −2)
7.
1
2
x
+
1
3
y
=
−
1
6
; (1, −2)
8.
3
4
x
−
1
2
y
=
−
1
; (2, 1)
9.
4
x
−
3
y
=
1
;
(
1
2
,
1
3
)
10.
−
10
x
+
2
y
=
−
9
5
;
(
1
5
,
1
10
)
11.
y
=
1
3
x
+
3
; (6, 3)
12.
y
=
−
4
x
+
1
; (−2, 9)
13.
y
=
2
3
x
−
3
; (0, −3)
14.
y
=
−
5
8
x
+
1
; (8, −5)
15.
y
=
−
1
2
x
+
3
4
;
(
−
1
2
,
1
)
16.
y
=
−
1
3
x
−
1
2
;
(
1
2
,
−
2
3
)
17.
y
=
2
; (−3, 2)
18.
y
=
4
; (4, −4)
19.
x
=
3
; (3, −3)
20.
x
=
0
; (1, 0)
Find the ordered pair solutions given the set of x-values.
21.
y
=
−
2
x
+
4
; {−2, 0, 2}
22.
y
=
1
2
x
−
3
; {−4, 0, 4}
23.
y
=
−
3
4
x
+
1
2
; {−2, 0, 2}
24.
y
=
−
3
x
+
1
; {−1/2, 0, 1/2}
25.
y
=
−
4
; {−3, 0, 3}
26.
y
=
1
2
x
+
3
4
; {−1/4, 0, 1/4}
27.
2
x
−
3
y
=
1
; {0, 1, 2}
28.
3
x
−
5
y
=
−
15
; {−5, 0, 5}
29.
–
x
+
y
=
3
; {−5, −1, 0}
30.
1
2
x
−
1
3
y
=
−
4
; {−4, −2, 0}
31.
3
5
x
+
1
10
y
=
2
; {−15, −10, −5}
32.
x
−
y
=
0
; {10, 20, 30}
Find the ordered pair solutions, given the set of y-values.
33.
y
=
1
2
x
−
1
; {−5, 0, 5}
34.
y
=
−
3
4
x
+
2
; {0, 2, 4}
35.
3
x
−
2
y
=
6
; {−3, −1, 0}
36.
−
x
+
3
y
=
4
; {−4, −2, 0}
37.
1
3
x
−
1
2
y
=
−
4
; {−1, 0, 1}
38.
3
5
x
+
1
10
y
=
2
; {−20, −10, −5}
Part B: Graphing Lines
Given the set of x-values {−2, −1, 0, 1, 2}, find the corresponding y-values and graph them.
39.
y
=
x
+
1
40.
y
=
−
x
+
1
41.
y
=
2
x
−
1
42.
y
=
−
3
x
+
2
43.
y
=
5
x
−
10
44.
5
x
+
y
=
15
45.
3
x
−
y
=
9
46.
6
x
−
3
y
=
9
47.
y
=
−
5
48.
y
=
3
Find at least five ordered pair solutions and graph.
49.
y
=
2
x
−
1
50.
y
=
−
5
x
+
3
51.
y
=
−
4
x
+
2
52.
y
=
10
x
−
20
53.
y
=
−
1
2
x
+
2
54.
y
=
1
3
x
−
1
55.
y
=
2
3
x
−
6
56.
y
=
−
2
3
x
+
2
57.
y
=
x
58.
y
=
−
x
59.
−
2
x
+
5
y
=
−
15
60.
x
+
5
y
=
5
61.
6
x
−
y
=
2
62.
4
x
+
y
=
12
63.
−
x
+
5
y
=
0
64.
x
+
2
y
=
0
65.
1
10
x
−
y
=
3
66.
3
2
x
+
5
y
=
30
Part C: Horizontal and Vertical Lines
Find at least five ordered pair solutions and graph them.
67.
y
=
4
68.
y
=
−
10
69.
x
=
4
70.
x
=
−
1
71.
y
=
0
72.
x
=
0
73.
y
=
3
4
74.
x
=
−
5
4
75. Graph the lines
y
=
−
4
and
x
=
2
on the same set of axes. Where do they intersect?
76. Graph the lines
y
=
5
and
x
=
−
5
on the same set of axes. Where do they intersect?
77. What is the equation that describes the x-axis?
78. What is the equation that describes the y-axis?
Part D: Mixed Practice
Graph by plotting points.
79.
y
=
−
3
5
x
+
6
80.
y
=
3
5
x
−
3
81.
y
=
−
3
82.
x
=
−
5
83.
3
x
−
2
y
=
6
84.
−
2
x
+
3
y
=
−
12
Step-by-step explanation:
