Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise it is important to remember that, by definition, two triangles are congruent when all their corresponding sides and their corresponding angles are congruent.
Therefore, the size and shape of two congruent triangles are equal.
In this case you know that the triangles shown in the given picture are congruent.
So, based on the explained before, you know that the measure of every corresponding angle of both triangles is the same.
Then, you can conclude that unknown angle "x" has the same measure that the corresponding angle of the other triangle: 
.
Therefore, you get that the value of "x" is:
This matches with the third option.
The answer is X = 4, 2
You can even plug those in for X to check your answer.
4 cookies because three divided by seven equals three hope I helped
Answer:
The amount loaned at 7% was $12500
Step-by-step explanation:
Given:
principal amount = $20000
Initial rate of interest = 7%
Final rate of interest = 15%
Total interest received per year = $2000
To Find:
The amount loaned at the interest of 7%= ?
Solution:
Let x = amount ($) loaned at 7%
then
20000-x = amount ($) loaned at 15%
Now
7% of x + 15 % (20000 - x) = 2000
Converting percentage into decimal by dividing by 100
0.07x + .15(20000-x) = 2000
0.07x + 3000 -0.15x = 2000
3000 -.08x = 2000
0-.08x = - 1000
x =12500
Answer:
30 tenths
Step-by-step explanation:
10 tenths (0.1) make 1, so we can take the distance of the numbers (3), and multiply it by 10 (10*3).
