Answer:
3 + 8x
Step-by-step explanation:
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Answer: 5
This is because (4r + 6) means you take r and multiply that number by 4.
Because there is no number, r would equal one in this case.
4 • 1 is 4
4 + 6 is 10
This would give us 1/2(10)
Half of 10 is 5.
Therefore, the answer is 5.
Answer:
1. HL
2. SAS
3. SSS
Step-by-step explanation:
Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).
Angles ABR and ACR are right angles.
Sides AB and AC are congruent.
Sides BR and CR are congruent.
1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.
2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.
3. You can use SSS theorem, because two triangles have two pairs of congruent legs and congruent hypotenuses.