Answer:
7
Step-by-step explanation:
The ratio of the similar triangles is
14 49
---- = ------
2 x
Using cross products
14x = 2*49
14x = 98
Divide by 14
14x/14 = 98/7
x =7
Answer:
ghs 20,000
Step-by-step explanation:
If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9
Let Boadu share be x
Let ansah share be y
If at the end of the year ansah received ghs5,000 more than Boadu, then;
y = 5000 + x
Boadu share = 4/9 * (x+y)
x+y is the total amount shared
x = 4/9 * (x+y)
Substitute y = 5000 + x
9x = 4(x+y)
9x = 4x + 4y
9x - 4x = 4y
5x = 4y
5x = 4(5000+x)
5x = 20,000 + 4x
5x-4x = 20,000
x = 20,000
Hence Boadu share is ghs 20,000
Answer:
3x - y = -3
Step-by-step explanation:
divide everything by 4, the greatest common factor. That's all you need to do.
Answer:
806 yd sq.
Step-by-step explanation:
Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.
They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.
You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.
The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.
Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.
Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.
Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.
The surface area would be 806 yd sq.
Since the lines are parallel and you know the slope of
is -2, you know the slope of line
will also be -2. You can see on the coordinate grid that line
crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get
= -2x - 1.
