Because HI and JK are parallel, that makes their angles congruent. So angle K equals angle I
So the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
- Let x be the percentage of p.
- Therefore,

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Hope you could get an idea from here.
Doubt clarification - use comment section.
For this case we have the following table:
X F(x)
-1 -11
0 -1
1 9
From here, we look for the function f (x).
We then have that as the equation is linear:

Where,

We choose an ordered pair:

Substituting values:

Rewriting:

Thus, the function f (x) is:

On the other hand, the function g (x) is:
Answer:
The slope of f (x) is greater than the slope of g (x) (10> 5)
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
Answer: The answer would be D.
Step-by-step explanation: I put down the points then simply reflected it over the y-axis. I did this by using the the opposite of the x number and the same y number. Hope this helps!
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°