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What is the value of 7 to the fifth power?
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Don't forget to choose which answer is Brainliest!
3.2x+0.5y = 42
-1.6x-0.5y = 3.4
O (4.75, 38.8)
O (4.75, -22)
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infinitely many solutions
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Statements
1. ASTU with ST || XY
Reasons
1. given
2. def. of corresponding
angles
2. 21 and 22 are
corresponding angles
3. 23 and 24 are
corresponding angles
4. 21 - 22; 23 24
3. def. of corresponding
angles
4. corresponding angles
theorem
5.
5. AA similarity theorem
Complete the steps of the proof.
6. def. of similar triangles
6. U = Tu
7. SU = SX + XU:
TU = TY + YU
8. SXEUXU – TYHYU
7. segment addition
postulate
8. substitution property
X
XII
TY
VII
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The correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.
What are similar triangles?
Two triangles are said to be similar if their corresponding sides are equal and if the ratio of the sides are in equal ratios.
The proof is as follows :-
The given steps are;
1. Δ STU with ST || XY, 1. Given
2. ∠1 and ∠2 are corresponding angles, 2. Def of corresponding angles
3. ∠3 and ∠4 are corresponding angles, 3. Def of corresponding angles
4. ∠1 ≅ ∠2; ∠3 ≅ ∠4, 4. Corresponding angles theorem
5. Δ UXY ~ Δ UST 5. AA similarity theorem
6. SU/XU = TU/YU 6. Def of similar triangles
7. SU = SX + XU, TU = TY + YU, 7. Segment addition postulate
8. (SX + XU)/(XU) = (TY + YU)/(YU) 8. Substitution property
9. SX/XU + 1 = TY/YU+1 9. simplification
10. SX/XU = TY/YU 10. subtraction property of equality.
Hence, the correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.
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Answer: Here is the answer
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