Answer:
Step-by-step explanation:
Part A: Yes
Proof:
a) Basic Proportionality Theorem (also Side Splitter Therom) which states that: "If a line (AB) intersects two sides (PQ and PR) at two distinct points and is parallel to the third side (QR), therefore is divid these sides proportionally."
b) Therefore, according to SSS Similarity Theorem: "If the sides of the two triangles are proportional, then the two triangles (PQR and PAB) are similar
Part B: The line segment AB corresponds to line segment QR because the triangles are similar and these two sides are parallel
Part C: Angle A (or Angle PAB) corresponds to Angle Q because line segment AB corresponds to QR and line segment PA corresponds to line segment PQ.
Answer:
x = 0 and y = 3
Step-by-step explanation:
Using elimination method, we can solve for x and y in the simultaneous equation
y = 2x + 3 .................................eqn 1
y = -3x + 3 .................................eqn 2
multiply equation 1 by 3 and equation 2 by 2, then we will have
(y = 2x + 3) × 3
(y = -3x + 3) × 2
3y = 6x + 9 ...............................eqn 3
2y = -6x + 6 ................................eqn 4
Add eqn 3 and 4 together and we will eliminate x and have
5y = 15
Divide both sides by 5, and we will have
y = 3
To solve for x, substitute 3 for y in eqn 1
y = 2x + 3
3 = 2x + 3
collect like terms
3 - 3 = 2x
0 = 2x
Therefore x = 0
Answer:
-45.
Step-by-step explanation:
I am assuming you mean
√25 - 2(3 +4(-2))^2
= 5 - 2(3-8)^2
= 5 - 2 * (-5)^2
= 5 - 2*25
= -45.
Step-by-step explanation:
I think the answer is B why don't you use a calculator?
Answer:
yvaires directly as x means
y=kx
y varies inversly with z means
y=k/z
therfor
y=(kx^2)/z
k=constant of variation
6=(k9^2)/27
6=(k81)/27
6=3k
divide both sides by 3
2=k
the constant of variation is 2
Step-by-step explanation: