First calculate the remaining angle in the triangle. which is going to be 180-65-75 = 40.
and basically the remaining angle should be the same as x. because of the (vertical opposite angle) theory.
therefore, x should be 40°
If the range is 1, we can assume that every student in that history class studies for a very similar amount of time studying, within 1 minute to be specific.
Answer:
I would be our answer.
Step-by-step explanation:
So we need to solve both.
x-y=5 = 5.
And we also need to solve -x+y=5.
Let's regroup them.
Now we needt to subtract y from both sides.
Now let's multiply both sides by -1.
Then we finally get
x = y - 5
Our final answer is I, there is no solution for this problem. Yes, they both equal 5 but do not fit any of the answers.
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Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)