Answer: x = 8
Step-by-step explanation:
Hello again XD.
This is a coordinate plane and all the angles on a coordinate plane add up to 360°
Divide 360 by 4 to get the measurement of the section we are working in.
360/4 = 90°
This means it is complementary and complementary angles state that both separate angles added together = 90°
therefore,
6x + 2 + 40 = 90
combine like terms:
6x + 42 = 90
now subtract 42 from both sides
6x = 48
divide 6 from both sides to get:
x = 8
Let me know if you have any more questions you want answered and I hope I explained this well.
Answer: they are both the same fraction
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Answer:
M=-3
Step-by-step explanation:
Slope:
y2-y1/x2-x1
-3-3/1+1=6/-2=-3
A circumscribed angle is that which is formed by the intersection of the two tangent lines in a circle. With this, we can conclude that segments AC and AB are tangent to circle O. The tangent lines forms a right angle with the radius of the circle drawn from the center of the circle to the tangent point.
By the explanation above, we can say that angles C and B are equal to 90° and that triangle ACO and triangle ABO are congruent. Which means that segment AC is equal to segment AB. Thus, the length of AB is also 4.
<em>Answer: 4 units</em>