Answer:
The correct answer is x = 17.
Step-by-step explanation:
If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.
Therefore, we can set up the equation:
DEF + FEG = DEG
However, since we know that DEF and FEG represent the same value, we can change this equation into the following:
2(DEF) = DEG
Now, we can substitute in the expressions that we are given:
2(3x+1) = 5x + 19
To simplify, we should first use the distributive property on the left side of the equation.
6x + 2 = 5x + 19
Our next step is to subtract 5x from both sides of the equation.
x + 2 = 19
Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.
x = 17
Therefore, the value of x is 17.
Hope this helps!
Answer:
Step-by-step explanation:
The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so
A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,
54.45 = 11(h) and
h = 4.95 in.
Answer:
33
Step-by-step explanation:
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
