Answer:
x = 41
Step-by-step explanation:
By the Angle Bisector Theorem, which basically states that EG / GD = EH / DH, we get this: 49 / 35 = 58.8 / (x + 1). Now, if we simplify, we get 7/5 = 58.8 / (x + 1). Cross-multiply to get 294 = 7x + 7, or 7x = 287. From here, it is obvious that x = 41.
Answer:
$59.49 per fishing rod
Step-by-step explanation:
Take the total price ($475.92) and divide by the amount of items (8) to get the unit price (aka price per item) being $59.49 per rod.
Answer:
10.5
Step-by-step explanation:
You can use ratios to solve this problem.
The original dimensions of the photo is
5 in. by 7 in.
This can be written as:
5:7
And the next is 7.5:?
Then you can use ratios to solve this.
5:7=
7.5:?
5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5
The width is 10.5 inches.
Answer:
27% and 37%
Step-by-step explanation:
Percentage of students who oppose the year-round school = 68%
Percentage of students who support the year-round school = 32%
Margin of error = ± 5%
We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.
Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%
This thing can be expressed as absolute valued equation as:
| x - 32 | = 5
Here x represents the least and greatest percentages.
Expanding the equation, we can write:
x - 32 = -5 or x - 32 = 5
x = -5 + 32 or x = 5 + 32
x = 27% x= 37%
This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.