Triangles are similar and only differ in size meaning they are dilated
So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)
Find scale factor:
2.4a=4.8
z=2
Find x:
we multiply the original side of the small side with the scale factor of 2
2.8(2)=x
5.6=x
So, x=5.6
Answer:17.7%
Step-by-step explanation:
132 x
____=_____
153 100
132(100)=153(x)
13200=153x
__________
153 153
x=82.3
100-82.3=17.7
Hi there!

To solve, we can use right triangle trig.
We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:
tan (A) = O / A
tan (33) = 25 / x
Solve:
x · tan(33) = 25
x = 38.49 ≈ 38.5
Answer: The area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Step-by-step explanation:
I will assume that the exercise says "
times the base and height of Jerry’s rhombus".
The area of a rhombus can be calculated with the following formula:

Where "b" is the length of the base and "a" is the altitude or the height.
Then, you can calculate the area using the formula shown above.
Therefore, you get:
1. Jerry's rhombus:

2. Charlene's rhombus:

Dividing the area calculated, you get:

Therefore, you can conclude that the area of Charlene's rhombus is nine times smaller than the area of Jerry's rhombus.
Answer: the statement “measure of <4 is 105 degrees” is incorrect.
Explanation: This is because since both angles 1 and 3 are vertical, this means they are both 95. This gives us 190 (95x2). Now we subtract this from 360 which gives us 170. Since angles 2 and 4 are vertical, we divide by 2, which gives us 85, not 105.
Hope this helps! :)