Answer:
Step-by-step explanation:
hi
Answer:
8.8
I don't see that choice in this picture so I hope that those are not all the choices
Step-by-step explanation:
Lets find all the angles first, that highlighted red square means that angle is a right angle, also known as 90 degrees, and the missing angle will be represented with b, also a triangle equals 180 degrees:
48 + 90 + b = 180
138 + b = 180
b = 42
So the missing angle is 42. If u didn't know, how wide an angle is effects the length of the side that it's facing. So because one of the angle is 48 degrees, the length of the side facing it is 10. So we needed to find the missing angle first to determine x, which we already did. So lets find the scale factor, we're dividing 42 with 48:
42/48 = 7/8
Now multiply 7/8 with 10:
10(7/8) = 70/8 = 8.75 = 8.8
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
a^2 + 12^2 = 19^2
Simplify the exponents:
a^2 + 144 = 361
Subtract 144 to both sides:
a^2 = 217
Find the square root of both sides:
a = 14.73
