The first one is A and the second one is C
Answer:
D. x = 7
Step-by-step explanation:
The labeled angles are the acute angles of a right triangle, so they are complementary. Their measures add up to 90 deg.
8x + 7 + 3x + 6 = 90
11x + 13 = 90
11x = 77
x = 7
Hi,
m = (y-y₀)/(x-x₀)
m = (-5-3)/(-2-2)
m = -8/-4
m = 2
For point (2,3) ⇒ x₀ = 2 and y₀ = 3
y-y₀ = m(x-x₀)
y-3 = 2(x-2)
For point (-2,-5) ⇒ x = -2 and y = -5
-5-3 = 2(-2-2)
-8 = 2(-4)
-8 = -8 ⇒ True
Answer:
C. The equation is y-3 = 2(x-2)
The correct choice is A. When something is being increased by a percentage, you add the percentage to 100%, so you add 35% to 100% to make a decimal of 1.35. Every year the initial value of 590 will be increased by 35%. so the correct choice is A.
Answer:
- <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
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- average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
- average yearly salary of an individual whose final degree is a masters: x
- average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
- the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
- combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
- x = 2y - 46 . . . equation (1)
- x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
Solve for y:
- y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
- x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
