Slope = -1/2
(-6, 2)
y - 2 = -1/2 (x + 6)
y - 2 = -1/2x - 3
y = -1/2x -1
answer is B
Answer:
x = 5
Step-by-step explanation:
ABC is an isosceles triangle
So
<A = <C = 73
<B = 180 - 2 * 73
<B = 180 - 146
<B = 34
Given <B = 6x +4
So
6x + 4 = 34
6x = 30
x = 5
Answer: 139°
Reasoning:
Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.
14x-1=9x+14
To isolate the x to one side, subtract the 9x from the 14x.
5x-1=14
Now to get the constants on one side, add the 1 to the 14.
5x=15
Now divide both sides by 5 to isolate the x.
5x/5=15/5
x=3
Now that we know that, we can figure out angle 3.
9(3)+14
27+14= 41
Angle 3 = 41°
Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.
180°- 41°= 139°
<h3>Double checking your answer:</h3>
41°+139°=180°
Answer:
- 96
- 6.9
- 25%
- 8%
- 79
- 33.8
Step-by-step explanation:
Here is the complete question: Find each number. Round to the nearest tenth if necessary.
- 80% of 120.
- 115% of 6
- What percent of 128 is 32?
- 3 is what percent of 36?
- 23.7 is 30% of what number?
- 71/2% of what is 12?
1) 80% of 120
= 
= 96
∴ 80% of 120= 96
2) 
=
∴
= 6.9
3) What percent of 128 is 32?
= 
= 
4) 3 is what percent of 36?
= 
= 
5) 23.7 is 30% of what number?
Let the number be "x".
⇒ 
Cross multiplying
⇒ 
∴ x= 79.
6) 71/2% of what is 12?
Lets assume the required number be "x".
⇒ 
cross multiplying both side.
⇒x= 33.8
∴ 71/2% of 33.8 is 12
Answer:
(x + 5)² + (y + 7)² = 288
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r =
=
= 
Hence
(x - (- 5))² + (y - (- 7))² = (
)², that is
(x + 5)² + (y + 7)² = 288