Answer:
UV=25 units
Step-by-step explanation:
we know that
UW=UV+VW -----> by addition segment postulate
substitute the given values
4x+10=5x+5
solve for x
5x-4x=10-5
x=5
Find the value of UV
UV=5x
substitute the value of x
UV=5(5)=25 units
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
The answer would be c. 3 (x+5) because you would add x and 5 to get the base of the rectangle then multiply it by the hight (3)
