Answer:
C
Step-by-step explanation:
given:
m= -2 and (3, -1)
point-slope form: y-y1= m(x-x1)
y - (-1) = -2(x-3)
y + 1 = -2(x-3)
Answer:
m∠FEH = 44°
m∠EHG = 64°
Step-by-step explanation:
1) The given information are;
The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°
Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°
Therefore, angle subtended by arc ∠HGF at the center = 88°
The angle subtended by arc ∠HGF at the circumference = m∠FEH
∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)
m∠FEH = 44°
2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°
The sum of angles in a quadrilateral = 360°
Therefore;
m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)
m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°
m∠EHG = 64°.
Answer:
A. 2/15, 0.40, 0.47
Step-by-step explanation:
6 green tennis balls
2 yellow tennis balls
7 red tennis balls
15 total tenis balls
probability that the first tennis is a yellow ball:
probability that the second tennis ball is green:
probability that the third tennis ball is red:
Answer:
(0, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 2y = 6 → (1)
16x - 4y = - 12 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the x- term
8x + 4y = 12 → (3)
Add (2) and (3) term by term
(8x + 16x) + (4y - 4y) = (12 - 12), that is
24x = 0 ⇒ x = 0
Substitute x = 0 into (1) or (2) and solve for y
Substituting in (1)
4(0) + 2y = 6
0 + 2y = 6
2y = 6 ( divide both sides by 2 )
y = 3
Solution is (0, 3 )
Answer:
49 = 7²
Step-by-step explanation:
A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.
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The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...
7² = 49