OK, so;
BDE and BED are congruent because the opposite sides are both congruent
To find BDE and BED you must subtract 66 degrees from 180 degrees.
You are then left with 114 as the sum of both the angles you need to find
Since they are congruent, all you need to do is divide by two
114/2=57 degrees for both BDE (a) and BED(b)
Now for angle A and C;
This is easy because they are both congruent to the first two!
So basically, all of question four is "57 degrees"
Sadly for number 5 i did not understand the question :"(
For 6 tho;
AC is parallel to DE because angle C is congruent to angle BED
All the others can be ruled out
For 7;
BD is half the length of AE, so:
4x+20=2(3x+5)
4x+20=6x+10
20=2x+10
10=2x
x=5
This means BD is 20 bc
3(5)+5
15+5
20
And AE is 40 bc
20X2=40
or...
4(5)+20
12 & 35 Third side is hypotenuse = 37
28 & 45 Third side is hypotenuse = 53
20 & 29 Third side is a leg = 21
Se redujeron $500 de la tarjeta de debito.
First, let's multiply 86.50 by 20 since she deposited $86.50 each month for 20 months.
86.50 * 20 = $1,730
Now, we have to divide this by 24.50 * 20 to find how much out of her $1,730 that she used on singing lessons.
24.50 * 20 = $490
Subtract how much she used for singing lessons from her total amount.
1,730 - 490 = $1,240
Finally, we multiply the amount she has left by 1/4 to find out how much she spent on her summer camp. We can also do this by multiplying 1,240 by 0.25 since 0.25 = 1/4.
1,240 * 0.25 = $310
So, Molly spent $310.00 on her summer camp.
Hope this helped!
(x - 4)(x^2 - 5x - 6) =
x(x^2 - 5x - 6) - 4(x^2 - 5x - 6) =
x^3 - 5x^2 - 6x - 4x^2 + 20x + 24 =
x^3 - 9x^2 + 14x + 24 <==
