Answer:
A: 1/5
B: 3/5
Step-by-step explanation:
Answer:
- Tadeo: 12 hours
- Dylan: 2 hours
Step-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2
2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7
Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3
Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22
The length of each hypotenuse is 22
Answer:
B
Step-by-step explanation:
Answer:
p = −1
Step-by-step explanation:
1. Regroup terms.
−6 (p + 8) = 7p − 35
2. Expand.
−6p − 48 = 7p − 35
3. Add 6p to both sides.
−48 = 7p − 35 + 6p
4. Simplify 7p − 35 + 6p to 13p −35.
−48 = 13p − 35
5. Add 35 to both sides.
−48 + 35 = 13p
6. Simplify −48 + 35 to −13.
−13 = 13p
7. Divide both sides by 13.
−1 = p
8. Switch sides.
p = −1