Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY =
(sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
=
(corresponding side length proportion)
Answer:
pretty sure its d
Step-by-step explanation:
Because a has spread out dots and b has them all towered and neat so d
Answer: y=7x
Step-by-step explanation:
The way I did it was, I looked at the chart. The highest it goes is 30 and 210. So for your answer, you have to multiply. 7x30 gives you 210 and there y=7x
Answer:
101.9 sq ft
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.
We have in total 5 faces:
- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

- Finally, we have 2 triangular faces (top and bottom), so their area is

where
b = 5.1 ft is the base
h = 6.8 ft is the height (because the triangle is a right triangle)
So the area of the triangle is

So the total lateral surface area of the figure is:

The expression that we need to get is:

So the correct option is the second one.
<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>
We know that 1 gallon is enough to cover 200 ft².
We have two rectangular areas, one of:
23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.
Then the total area is:
A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)
The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

So the corerect option is the second one.
If you want to learn more about algebraic expressions:
brainly.com/question/4344214
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