Answer:
TS=QV
Step-by-step explanation:
To prove SAS congruence, you need to prove that two lines and the angle between them are all respectively equal.
In the diagrams we already have RS=WV and ∠RST=∠WVQ, so it follows that we need to prove that TS=QV.
Answer:
<em>32.5 m^2</em>
Step-by-step explanation:
B = 377lw
I will use L for length instead of l.
B = 12,252.5 BTU
w = 5 m
First, we find the length.
12,252.5 = 377(L)(5)
12,252.5 = 1885L
L = 6.5
The length is 6.5 m. The width is 5 m.
A = LW = (6.5 m)(5 m) = 32.5 m^2
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
Answer:
A. Slope: 4; y-intercept: (0-7)
Step-by-step explanation:
The equation given is in slope-intercept form, y =mx+b, where m is the slope and b is the y-intercept.
Our equation is y=4x -7,
Where m = 4 b = -7
If m = to the slope and b = to the y-intercept, our slope would be 4/1 or 4, and our y-intercept would be (0,-7).
The answer, A would be the best for the question.
Hope it helps!
For direct variation, y = kx
8 = -4k
k = 8/-4 = -2
Therefore, required equation is y = -2x
when x = 7, y = -2(7) = -14
