Given : Angle < CEB is bisected by EF.
< CEF = 7x +31.
< FEB = 10x-3.
We need to find the values of x and measure of < FEB, < CEF and < CEB.
Solution: Angle < CEB is bisected into two angles < FEB and < CEF.
Therefore, < FEB = < CEF.
Substituting the values of < FEB and < CEF, we get
10x -3 = 7x +31
Adding 3 on both sides, we get
10x -3+3 = 7x +31+3.
10x = 7x + 34
Subtracting 7x from both sides, we get
10x-7x = 7x-7x +34.
3x = 34.
Dividing both sides by 3, we get
x= 11.33.
Plugging value of x=11.33 in < CEF = 7x +31.
We get
< CEF = 7(11.33) +31 = 79.33+31 = 110.33.
< FEB = < CEF = 110.33 approximately
< CEB = < FEB + < CEF = 110.33 +110.33 = 220.66 approximately
Answer:
$11,111.11
Step-by-step explanation:
Net Money farmer wanted to get the on selling 1 acre = $10,000
Percentage of commission and closing cost incurred by him = 10%
out of 100 %, he will incur cost of 10%,
rest of them will be with him.
In percentage money he would have be = (100 - 10)% = 90%
Thus, 90 % will be net money he would have.
Let the list price be $x
Given that 90% of this $x will be with farmer which is equal to
90% of x = 90/100 * x = 0.9 x
It is given that he wants to net $10000
so 0.9x = $10,000
=> x = $10,000/0.9 = $11,111.11.
Listing price per acre should be at least $11,111.11.
For this case we must solve the following equation:
We group the variable terms of the left side of the equation, the terms that are adding from one side pass to the other side subtracting and vice versa:
Thus, the value of the variable is 11.76
ANswer:
<span>If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,
t </span>α g
To change the it to equal sign, we incorporate a proportionality constant, k.
t =<span> kg
</span>
This equation will represent the relation of t to g.
Answer:
The answer is 390 × pi.
Step-by-step explanation:
Big cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 9^2 x 15
= 1272.3 cubic inches
Small cone:
V = 1/3 x pi x r^2 x h
= 1/3 x 3.14 x 3^2 x 5
= 47.1 cubic inches
1272.3 - 47.1 = 1225.2 cubic inches
1272/3.14 ≈ 390
The answer is 390 × pi.
