Answer:
Answer for 2nd is option c, for 3rd is option d, for 4th is option e
Step-by-step explanation:
As we know 1 ft.=12 in.
- In ΔABC
∴ The congruent sides are AB and AC respectively
- CB =12 ft. 4 in.=148 in.
- AB=
CB =111 in. =9 ft. 3 in. - AC=CB =111 in. =9 ft. 3 in.
∵ <em>Perimeter of ΔABC</em> =AB+AC+CB
=9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.
=30 ft. 10 in.
2. In ΔDEF
∴ The congruent sides are DE and DF respectively
- DE = 6 ft. 3 in. =75 in.
- DF = 6 ft. 3 in. =75 in.
- Let the length of FE is equal to x
- 0.75FE =DE =DF
- 0.75x = 6 ft. 3 in. =75 in.
- x =100 in. =8 ft. 4 in.
∵ <em>Perimeter of ΔDEF</em> =DE+DF+FE
= 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.
= 20 ft. 10 in.
3. In ΔJKL
∴ The congruent sides are JL and KL respectively
- JK = x+3
- KL =4x-17
- JL =6x-45
- JL≅KL
- 4x-17 =6x-45 . . . . . . . . . . . . . . . . . . . . . . . (1)
- Subracting 4x from both sides from eq 1
- -17 =2x-45
- Adding 45 on both the sides
- 28 =2x
- Dividing by 2 on both sides
- 14 =x
- JK = 14+3 =17
- KL = 4×14-17 =39
- JL = 6×14-45 =39
∵ <em>The dimensions of the ΔJKL are 39,39 and 17.</em>
9514 1404 393
Answer:
x = 7
y = 5
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
For a=-j and b=7,
(-j)^-7 = 1/(-j)^7 ⇒ x = 7
For a=k and b=-5,
k^-5 = 1/k^5 ⇒ y = 5
Joan makes $275/week.
In addition to $275, she also makes 4 percent on sales over $1000.
So, 1250 - 1000 = 250.
Then 250(0.04) = 10.
Let t = amount of her paycheck for the week.
t = $275 + $10
t = $285
Answer:
See Explanation
Step-by-step explanation:
Given
Solving (a): What does h represents
From the instruction in the question, we understand Cycle city charges an additional 0.75 per hour.
This implies that h represents the additional hour of rentals
Solving (b): What does 15 represents
From the instruction in the question, we understand Cycle city charges an a base charge of $15
This implies that 15 represents the base charge
Solving (c): 0.75h
Referring back to (a) where h represents the additional hour of rentals
0.75h represents the total charges for the additional hour
Answer:
20,21
Step-by-step explanation:
Let x be the first number.
Let y be the 2nd number.
Given y - x = 1 (since they are consecutive)
Rearrange it: y = x+1 (equation 1)
Also given:
(equation 2)
Now we can substitute y = x + 1 into equation 2.
Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.
y = 20+1
= 21.
Therefore the 2 numbers are 20 and 21.
