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GarryVolchara [31]
2 years ago
7

Can someone help me out on these 2 geometry questions pls? ASAP!!!

Mathematics
1 answer:
Katena32 [7]2 years ago
6 0

<u>Question 2</u>

1) \overline{PR} \perp\overline{QS}, \overline{PQ} \cong \overline{PS} (given)

2) \overline{PR} \cong \overline{PR} (reflexive property)

3) \angle PRQ, \angle PRS are right angles (perpendicular lines form right angles)

4) \triangle PRQ, \triangle PRS are right triangles (a triangle with a right angle is a right triangle)

5) \triangle PRQ \cong \triangle PRS (HL)

<u>Question 3</u>

1) \angle C is a right angle, \overline{AC} \cong \overline{AE}, \overline{DE} \perp \overline{AB} (given)

2) \angle DEA is a right angle (perpendicular lines form right angles)

3) \triangle ACD, \triangle DAE are right triangles (a triangle with a right triangle is a right angle)

4) \overline{AD} \cong \overline{AD} (reflexive property)

5) \triangle ACD \cong \triangle AED (HL)

6) \angle CAD \cong \angle DAE (CPCTC)

7) \overline{AD} bisects \angle BAC (if a segment splits an angle into two congruent parts, it is an angle bisector)

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{

3x+5y=2

9x+11y=14

∣⋅(−3)

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9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

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