Sum of interior angles of triangle = 180
x + x + 6 + 3x - 16 = 180
5x - 10 = 180
5x = 190
x = 38
<M = 3(38) - 16
<M = 114 - 16
<M = 98°
Answer:
x=9.79
Step-by-step explanation:
firstly find the hypotenuse of the first triangle
sin45=12/h
sin45h/sin45=12/sin 45
h=16.9
after finding the hypotenuse you can then use it to find x by using tan
tan60=16.9/x
tan60x/tan60=16.9/tan60
x=9.79
I hope this helps!!
<h3>
There are 2 answers: choice C, choice D</h3>
====================================================
Explanation:
32% = 32/100 = 0.32
32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.
We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,
400+400(0.32) = 400 + 128 = 528
400*1.32 = 528
meaning that 400+400(0.32) = 400*1.32
The other answer choices result in other values, showing that they aren't equivalent to 528.
He increased 30% so that means he can bench press 180lbs