Answer:
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is x= z-y/a-b
Step-by-step explanation:
Answer:
- use the HL postulate
- corresponding angles are congruent; corresponding sides are congruent
Step-by-step explanation:
See below for the marking.
a) Marking the right triangles per the given information, we see that the hypotenuses and one leg are congruent. We can use the HL postulate of congruence to conclude the triangles are congruent.
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b) ∆CPS ≅ ∆WPD, so the following parts are congruent:
- ∠C ≅ ∠W
- ∠P (in ∆CPS) ≅ ∠P (in ∆WPD) — these are vertical angles
- ∠S ≅ ∠D
- CP ≅ WP
- PS ≅ PD
- CS ≅ WD