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What are the coordinates of the center and the length of the radius of the circle whose equation is (x+1)2+(y−5)2=16?
(1, -5) and 4
(-1, 5) and 16
(-1, 5) and 4
(1, -5) and 16
Line ℓ passes through the point (5,3) and is parallel to line k whose equation is 5x+y=6. An equation of line ℓ is
y=15x−2
y=15x+2
y=−5x−28
y=−5x+28
In the diagram below, ¯AC and ¯BC are tangent to circle O at A and B, respectively, from external point C. If m∠ACB=38, what is m∠AOB?
142
161
104
71
Based on the construction below, which conclusion is not always true?
¯AB⊥¯CD
AE=EB
AB=CD
CE=DE
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?
8
15
12
6
In triangles ABC and DEF, AB=4, AC=5, DE=8, DF=10, and ∠A≅∠D. Which method could be used to prove △ABC∼△DEF?
ASA
SAS
SSS
AA
Secants ¯JKL and ¯JMN are drawn to circle O from an external point, J. If JK=8, LK=4, and JM=6, what is the length of ¯JN?
16
10
In the diagram below of circle O, chord ¯AB is parallel to chord ¯GH . Chord ¯CD intersects ¯AB at E and ¯GH at F. Which statement must always be true?
⌢AC≅⌢CB
⌢AG≅⌢BH
⌢DH≅⌢BH
⌢AB≅⌢GH
Which equation represents a line that is parallel to the line whose equation is 3x−2y=7?
y=23x−4
y=32x−5
y=−32x+5
y=−23x+4
Square ABCD has vertices A(2,3), B(4,1), C(2,5), and D(4,3). What is the length of a side of the square?
4√5
10√2
2√10
2√5