The answer to this question is 59.2, Hope this helps you
Answer:
70 , 84 , 105
Step-by-step explanation:
sum their ages , 10 + 12 + 15 = 37
divide the amount by this sum to find the value of one part of the ratio.
259 ÷ 37 = 7 ← value of 1 part of the ratio , then
10 parts = 10 × 7 = 70 euros ← Tom's share
12 parts = 12 × 7 = 84 euros ← Mary's share
15 parts = 15 × 7 = 105 euros ← Bill's share
Answer:
x < 5
Step-by-step explanation:
Step 1: Simplify
7x−35<2x−10
Step 2: Substract 2x from both sides
7x−35−2x<2x−10−2x
5x−35<−10
Step 3: Add 35 to both sides
5x−35+35<−10+35
5x<25
Step 4: Divide by 5
5x/5 × 25/5
x < 5
Answer:
Step-by-step explanation:
Using the slope formula:
Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
