Answer:
Step-by-step explanation:
The similar triangles are shown in the attached photo.
Triangle ABC is similar to triangle XZY. Therefore,
AB/XZ = BC/ZY = AC/XY
From the dimensions given,
(x-8)/45 = (2x - 8)/24
Cross multiplying,
24(x-8) = 45(2x - 8)
24x - 192 = 90x - 360
Collecting like terms and making the terms containing the variable, x be on the left hand side and the constants be on the right hand side,
24x - 90x = -360+92
-66x = -268
x = 268/66
x = 4.06
x = 4
This is a simple ratio. x : y. So x = 21 when y = 5.
21 : 5.
x : 25
So you are timesing each side by 5
So 21 x 5 = 105.
x = 105
9514 1404 393
Answer:
multiplication
Step-by-step explanation:
In math, "X of Y" means that X is multiplied by Y*. Here, you need to figure out what values are being multiplied.
The fraction of claims remaining unpaid after the first month is ...
1 - 4/7 = 7/7 -4/7 = 3/7 . . . . fraction of claims unpaid after month 1
The problem statement tells you 2/3 of these are paid in the second month. That is ...
(2/3) × (3/7) = 2/7 . . . . of the total of all claims
2/7 of all claims were paid in the second month.
_____
* The interpretation of the word "of" will depend on the context. Here, we're referring to X being a percentage or fraction, as in "2/3 of 3/7".
In some uses, the word "of" may signify that X is multiplied by a fraction with Y as the denominator, as in "5 of 8" (meaning 5/8), for example. If Y is an object, the X is still a multiplier, as in "3 of the bags of cement".
