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.
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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.
So you know that the sum of angles in a triangle is 180°.
You know two of the angles in triangle WXZ. The two angles are angle WXZ, which is 50° and angle XWZ, which is 90°.
Now you can calculate angle WZX, by:
180-50-90=40°.
Answer:
The length of the slide is 10 feet.
Step-by-step explanation:
To find the length of the slide you have to use the formula:
a^2 + b^2 = c^2 (^2 means squared)
In this case:
a= 6 and b=8 c= unknown
6 squared (6 times 6) is 36
8 squared (8 times 8) is 64
Add these two numbers to get:
36+64=100
6^2+8^2=100
However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.
What number times itself equals 100? 10.
The length of the slide in 10 feet.
First you add 31 and 11 and you get 42, then you do 2,940 divided by 42 which is 70. Then you multiply 70 by 31, and you get 2, 170,
and there are 2,170 apples which is the answer
Answer:
The angle with measure 60° is one of those angles that has a well-known cosine value: cos(60°) its C= 1/2.
Step-by-step explanation: