Find the missing values in the ratio table below.
1 answer:
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Answer:
In the trapezoids ABCD and RSPQ,
Angles A, B, C and D are corresponding to the angles R, S, P and Q respectively,
Also, the sides AB, BC, CD and DA are corresponding to the sides RS, SP, PQ and QR respectively.
Since, when two figures are congruent to each other then their corresponding sides and angles are also congruent.
Here, trapezoids ABCD and RSPQ are congruent.
Therefore, AB≅RS, AB≅RS, AB≅RS, AB≅RS
And, ∠A ≅ ∠R, ∠B ≅∠S, ∠C≅∠P, ∠D≅∠Q
Using a system of equations, it is found that she made:
- 141 free throws.
- 168 two-point field goals.
- 53 three-point field goals.
For the system, we have that:
- x is the number of free throws made.
- y is the number of two-point field goals made.
- z is the number of three-point field goals made.
She made 362 shots, hence:
She scored 636 points, hence:
- Observation: I used 636 as there would not be a solution(number of field goals cannot be a fraction) if 634 was used.
She made 27 more 2-point field goals than free throws, hence:
Then:
Equaling both equations for z, finding x:
Then, to find y and z:
She made:
- 141 free throws.
- 168 two-point field goals.
- 53 three-point field goals.
You can learn more about system of equations at brainly.com/question/25960609