[8] The hypotenuses must be congruent, DE and IJ
HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.
Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.
[9] Another leg, AC and YX
LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.
[10] A leg, DE and E? or FE and E?
LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.
-> The question marks are because the letters are too blurry to read.
Answer:
Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.
Answer:
0.13 hours
468 seconds
Step-by-step explanation:
7.8 min= 7.8/60= 0.13 hours
7.8 min= 7.8x60= 468 seconds
n + q = 35
n = 35-q
0.05n + 0.25q = 8.15
0.05(35-q) +0.25q = 8.15
1.75 -0.05q + 0.25q =8.15
1.75 + 0.20q = 8.15
0.20q = 6.40
q = 6.40 / 0.20 = 32
32 quarters and 3 nickels
V= x*(10-2x)(8-2x)
for greatest volume, differentiate v w.r.t x and equate to 0,
dv/dx= (10-2x)(8-2x) + x(-2)(8-2x)+ x(10-2x)(-2)=0
you get x from solving the quadratic equation. volume will be max at that x
