Answer:
D
Step-by-step explanation:
The length of the rectangle would be 21
Proportion to set it up would be 7/3 x X/9 cross multiply and solve for x which is 21
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because

2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus

Answer:

Step-by-step explanation:
The given trigonometric equation is

We take the inverse cosine of both sides to obtain;


Group similar terms t obtain;


Answer:
4,955.50
Step-by-step explanation:
45050x.11=4955.50