Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:

Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:

Reduce the right:

Cross multiply:

So, the value of x is 11.4
And we're done!
The second one is the correct answer .
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
Step-by-step explanation:
Please see the attached picture for the full solution.
Hello!

x² + 5x + 6
Find two numbers that add up to 5 and multiply to 6. We get:
2, 3
Therefore:
(x + 2)(x + 3)
Answer:
Part A) x = 5
Part B) B = 113 degrees, C = 95 degrees. E = 95 degrees
Step-by-step explanation:
<u>Part A:</u>
We know that the sum of all angles in a pentagon are 540 degrees.
We already have two angles: 113 and 124 which add up to 237.
Make an equation out of all the information.
237 + 98 + 3x + 19x - x = 540
3x + 19x - x = 105
21x = 105
x = 5
<u>Part B:</u>
Substitute 5 for each x
measure B: 98 + 3x = 98 + 3*5 = 98 + 15 = 113
measure C: 100 - x = 100 - 5 = 95
measure E: 19x = 19* 5 = 95
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