Answer:
16
Step-by-step explanation:
The triangle AEC is a right triangle and 2 sides are already filled in.
The hypotenuse is 10 and one side is 6.
So, this is a 3-4-5 right triangle.
Thus, the remaining side EC is 8.
Since EC is congruent to ED, then segment CD is 8+8=16
Answer:
4
Step-by-step explanation:
Amount spent on coffee = 70 - 39.56 = 30.44
One pound costs 7.61, how many will cost 30.44
7.61 : 1 = 30.44 : X
7.61 = 30.44/X
X = 30.44/7.61
X = 4
Given:
First side(A): 2B - 7
Second side(B): B
Third side(C): B + 4
Plug in values:
A + B + C = 80
2B - 7 + B + B + 4 = 80
If you look at the coefficients only, you can rewrite the equation like this:
2B + B + B - 7 + 4 = 80
This means that 4B - 7 + 4 = 80
=4B - 3 = 80
= 4B = 80 + 3
B = 83/4, so you can either write B as 83/4 or as 20.75.
Checking your work:
A: 2(20.75) - 7 = 34.5
B: 20.75
C: 4 + 20.75 = 24.75
34.5 + 20.75 + 24.75 = 80cm.
Hope this helped.
You want to end up with
. Expand this using the angle sum identity for sine:

We want this to line up with
. Right away, we know
.
We also need to have

Recall that
for all
; this means

Then

So we end up with

Multiple 5x70 to get 350. Which makes the equation 350=5x and then you have to divide both sides by 5 to get x by itself. so 5x/5 and 350/5 makes x=70