9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
Answer:
Below in bold.
Step-by-step explanation:
x^2 - 2x - 3 = 0
(x - 3)(x + 1) = 0
The zeroes are -1, 3.
Change to vertex form:
= (x - 1)^2 - 1 - 3
= (x - 1)^2 - 4
So the axis of symmetry is x = 1.
The vertex is at (1, -4) and it is a minimum (because the coefficient of x^2 is positive).
Domain is (-∞, ∞)
Range is [-4, ∞).
Increasing when x < 1.
Decreasing when x > 1.
End behaviour x ---- -∞ , y --> ∞
x ----> ∞, y ---> ∞
80*4=320
89*4=356
This is the range of the addition of all 4 scores.
99+80+70=249
320-249= 71
356-249= 107
[71, 100] would be the answer, unless you can get extra credit on the final.
Answer:
8 years
Step-by-step explanation:
the age of Saloni = (4×11) - (10+14+12)
= 44 - 36
= 8 years
