If you would like to know how many pounds of flour remain after Anne bakes 3 batches of rolls and Anne has a 10 3/4 pounds bag of flour and each time she bakes one batch of rolls, she uses 2 1/6 pounds of flour, you can calculate this using the following steps:
for 3 batches of rolls, she needs:
3 * 2 1/6 = 3 * 13/6 = 13/2 = 6 1/2 pounds of flour
now, you have to subtract 10 3/4 and 6 1/2:
10 3/4 - 6 1/2 = 43/4 - 13/2 = 43/4 - 26/4 = 17/4 = 4 1/4 pounds of flour
Result: 4 1/4 pounds of flour remain after Anne bakes 3 batches of rolls.
Answer:
1) triangles are similar
Step-by-step explanation:
The height from vertex X of isosceles ∆WXY is 4 units. The width WY is also 4 units. In isosceles ∆UVW, the height from vertex V is 6 units, and the width UW is also 6 units.
The height ratios are ...
∆WXY/∆UVW = 4/6
The width ratios are ...
∆WXY/∆UVW = 4/6
The measures of ∆WXY are proportional to those of ∆UVW, so the triangles are similar.
_____
Strictly speaking, you cannot go by triangle height and width alone. That is why we made not of the fact that the triangles are <em>isosceles</em>. When base and height of an isosceles triangle are proportional, the Pythagorean theorem guarantees that side lengths are proportional. Trigonometry can also be invoked to support the claim that angles are congruent.
(0,0)(1,3)
slope (rate of change) = (3-0) / (1-0) = 3
You would first divide 28 by 7.
28 / 7 = 4.
Now multiply 4 by 5.
4 X 5 = 20.
Therefore, Leon read 20 pages.
