Answer:
I believe -102 is the answer you are looking for.
Step-by-step explanation:
4(-2 - 11) + 5(1 - 11)
4(-13) + 5(-10)
-52 + (-50)
-102
Y = -6x
slope intercept form is y=mx+b, I’m sure you just plug in the numbers
Answer:
1/2
Step-by-step explanation:
There are 4 nickels, 2 dimes, and 6 quarters. That means a total of 12 coins, half of which are quarters.
(realistically, if she wanted to, she could probably get a quarter every time if she felt for the size)
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
Answer:
Angle is 33.82°
Step-by-step explanation:
It is given that, from the figure below,
Vertical distance = 12 feet
Horizontal distance = 18 feet.
Using the trigonometric rule for the right triangles, we have,
i.e. 
i.e. 
i.e. 
i.e. x= 33.82°
Thus, the angle made by the path with the horizontal is 33.82°.
