Answer:
ΔDBE≅ΔQAP (by RHS criteria)
Step-by-step explanation:
Given that, , , ⊥
and ⊥
⇒∠PAQ=90° and ∠EBD=90°(definition of perpendicular lines)
Its given that PB=AE,
subtracting AB on both sides,
we get: PB-AE=AB-AE
⇒PA=EB (equals subtracted from equals, the remainders are equals)
Therefore, ΔDBE≅ΔQAP (by RHS criteria)
conditions for congruence:
- ∠DBE=∠QAP=90°(right angle)
- PQ=ED(hypotenuse)
- PA=EB(side)
So, ∡D=∡Q(as congruent parts of congruent triangles are equal)
Answer:
x ≤ -3
Step-by-step explanation:
For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤
Answer:
9
Step-by-step explanation:
The <u>thousandths</u> place is the third digit after the decimal.
Answer: The common factors of 15 and 30 are 1, 3, 5, and 15. The greatest common factor is 15
Step-by-step explanation:
Answer: 8
Step-by-step explanation: