The answer is 84 because of process priority
By comparing the right triangle ABC with the triangle XYZ, we will see that:
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How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
Middle School In Favor: 25%
Middle School Not in Favor: 75%
High School In Favor 20%
High School Not In Favor 80%
Step-by-step explanation:
For the middle school in favor, we need to find the percent, which is 50 out of 200, so its 1/4, 25%
So the rest of the middle school is not in favor, which is 75%
High school is 60 not in favor, so we need to find the percentage. So 60 out is 300 is 20%
And we just subtract 20 from 100 which leaves us with 80
For this case we have that by definition, the distance between two points is given by:
We have the following points:
Substituting we have:
Thus, the distance between the points is
Answer:
To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.
Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.
The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.
To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.
9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches
The area of the larger triangle is 1600 square inches.
