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Dvinal [7]
3 years ago
14

Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian

gle. Which statement is true about the area A of the smallest tile?

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
A = x^{2} ---> equation (1)
By using pythagoras rule which states that the x^{2} = hyp^2 - opposite^2---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
x^{2} = 10^{2} - 8^{2} substitute this value in equation (1) then
A = x^{2} = 10^{2} -8^{2}
where A is the area of the square whose side is x
MArishka [77]3 years ago
5 0
The smallest triangle is not going to be determined by the a plus sign between the largest square and one of the small ones. That eliminates the two top answers. 

A right triangle has the pythagorean equation associated with it.

That's a^2 + b^2 = c^2

Both the top right answer and the bottom left answer are eliminated because they are not of this form.

The largest side is c so to find x you need to subtract 8^2 from 10^2

10^2 - 8^2 is the answer <<<<<
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What is the measure of the angle in the Southwest corner of the intersection of broadway and 22nd street
Svetllana [295]

Answer:

  105°

Step-by-step explanation:

Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.

In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.

7 0
3 years ago
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sesenic [268]
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3 0
2 years ago
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Is this correct? If not, please tell me the correct answer!!!
White raven [17]

Answer:

That is correct

Step-by-step explanation:

180° rotation about origin just means that you have to flip the pre-existing image across the x-axis

Good job!

3 0
3 years ago
The solution to an equation is 21
elena-14-01-66 [18.8K]
An solution to an equation = 21 would be something like 2p + 7

if you wanna know how to solve this 
here is how:
<span>Simplifying 2p + 7 = 21 Reorder the terms: 7 + 2p = 21 Solving 7 + 2p = 21 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 21 + -7 2p = 21 + -7 Combine like terms: 21 + -7 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7</span>
5 0
3 years ago
Please help me with this
juin [17]

Answer:

x=30, <A=60, <C=30

Step-by-step explanation:

A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:

90+2x+x=180

90+3x=180

3x=90

x=30

Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.

So x=30, <A=60, <C=30

Hope this helped!

8 0
3 years ago
Read 2 more answers
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