Let
x = measure of angle TAP
y = measure of angle BRE
We're told that "angle BRE is its own complement" meaning that angle BRE added to itself is 90 degrees. In algebraic terms, we can say
y+y = 90
2y = 90
2y/2 = 90/2
y = 45
So angle BRE is 45 degrees. Note how 45+45 = 90.
We also know that angle TAP and angle BRE are supplementary. They add up to 180 degrees
x+y = 180
x+45 = 180 ... replace y with 45
x+45-45 = 180-45 ... subtract 45 from both sides
x = 135
Since we defined x to be the measure of angle TAP, this means that angle TAP is 135 degrees
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
Learn more about equations here;
brainly.com/question/10413253
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Answer:
M2=65
Step-by-step explanation:
These two are congruent
congruent means- they are the same
so M1 is congruent to M2 and M3.....
96 → B
substitute w = 12 into the equation D = 3w + 60
D = (3 × 12 ) + 60 = 36 + 60 = 96