Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
(1)
(1b)
If we know that , , , and , then the perimeter of the pentagon MNPQR is:
The pentagon MNPQR has a perimeter of 22 units.
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
So our angles are a=40, b=50, c=115.
The histogram is attached. Every column shows on the bottom the range of age and on the left the number of cars of that particular age.
In order to find the percentage of cars with less than 20 years or more than 40 years, you have to sum up the numbers of cars in the first two columns from left (age 0-9 and 10-19) and the last two (age 40-49 and 50-59).
The number of cars of requested age is: 3 + 2 + 0 + 3 = 8
Now, you need to calculate the total number of cars (sum the cars of every column): 3 + 2 + 8 + 4 + 0 + 3 = 20
Lastly, you need to calculate the ration between the cars of requested age and the total number of cars, and transform it into a percentage:
8 ÷ 20 = 0.40 = 40%
Therefore, your answer is
40%.
To calculate the answers for an expression with an absolute value term. First, we isolate the one with the absolute value.
<span>−2∣5w−7∣+9=−7
</span><span>−2∣5w−7∣=−7-9 = -16
</span>∣5w−7∣=8
<span>Then, set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
</span>
5w=8+7
5w = 8-7
The answers are:
w = 3
w = 1/5