Answer:
Step-by-step explanation:
Q1: <B = 150 °
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
8x-10 = 3x+90
5x=100 (subtract 3 from both sides)
x=20 (divide both sides by 5)
x = 20
<B= 3x +90
<B = 3 (20) +90
<B = 60 + 90
<B = 150
Q2: 62
An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.
An angle is 34 more than its complement.
Let x represent the angle.
Let y represent its complement.
x= 34 +(90-x)
y= (90-x)
x + y = 90
34 + (90-x) + (90-x) =90
x= 62
Check the answer.
x= 34 more than complement.
62-34=28
62+28=90
Checked!
Words of encouragement:
Good luck!
Because v represents the initial value of the car, the answer for the first section would simply be $21,300. The percent of change per year is between the parentheses (1.16 in this case). Since it is greater than one, the amount increases every year meaning it represents growth.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
Answer:
40 meters
Step-by-step explanation:
since a =b*h
area - a
base - b
height - h
so a/h = b (
)
plug in area and height
160/4 = 40 (meters)
hope this helps:)
Answer:
A and B: slope = 0
S and T: slope = undefined
Step-by-step explanation:
To find the slope of the line that passes between a pair of points, use the slope formula, 
. Substitute the x and y values of two points into that formula and simplify.
1) Let's try this with the first problem. Substitute the x and y values of (4,5) and (-3,5) into the formula, then solve:
So, the slope of the line between A and B is 0.
2) Do the same with the second problem, substituting the x and y values of (3,-6) and (3,-9):
However, we can't divide by zero. So, the slope between points S and T must be undefined.
