The most efficient way of finding the answer to this question is first reducing 10-24-26 and comparing it with the first 5 combinations for right-angled triangles:
First, reduce 10-24-26 by dividing it by the GCF (greatest common factor).
10-24-26 divided by its GCF, 2, is: 5-12-13
Now comparing it with the first 5 combinations for right-angled triangles:
1) 3-4-5
2) 5-12-13
3) 7-24-25
4) 8-15-17
5) 20-21-29
As you can see, number 2 is the same as our reduced example. Therefore, we know that 10-24-26 is a right triangle.
Hope this helps!
Answer:
127/12
Step-by-step explanation:
4 × 2 + 12x = 135
(1. Simplify 4 x 2 to 8.
8 + 12x = 135
(2. Subtract 88 from both sides.
12x= 135 - 8
(3. Simplify 135 - 8 to 127
12x = 127
(4. Divide both sides by 12
x= 127/12
Decimal Form: 10.583333
I think this is the awnser, but don't quote me on that
Answer:Takeyour time
Step-by-step explanation:
<u><em>Answer:</em></u>
Number of child tickets sold that day = 25 tickets
<u><em>Explanation:</em></u>
Assume that the number of the adult ticket is x and that the number of the child ticket is y.
<u>We are given that:</u>
1- four times as many adult tickets as child tickets were sold. <u>This means that:</u>
adult tickets = 4 * child tickets
x = 4y ....................> equation I
2- Child ticket costs $5.5, adult ticket costs $9.1 and total sales was $1047.5.
<u>This means that:</u>
x(9.1) + y(5.5) = 1047.5
9.1x + 5.5y = 1047.5 ..................> equation II
<u>Substitute with equation II in equation I and solve for y as follows:</u>
9.1x + 5.5y = 1047.5
9.1(4y) + 5.5y = 1047.5
36.4y + 5.5y = 1047.5
41.9y = 1047.5
y = 25
<u>Based on the above calculations:</u>
number of child tickets = y = 25 tickets
number of adult tickets = x = 4y = 4(25) = 100 tickets
Hope this helps :)
Answer:
The scale factor is 2/3.
Step-by-step explanation:
Given data,
The given image is (6,9)
The image after dilation is (4,6)
The scale factor is calculated by dividing the resultant image by the initial image.
For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor
In our scenario,
x1 = 6
x2 = 4
y1 = 9
y2 = 6
Scale Factor = x2/x1
=> 4/6
=> 2/3
Similarly for y axis,
Scale Factor = y2/y1
=> 6/9
=> 2/3
Therefore, the scale factor is 2/3.