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Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4. (the ratio is 1:1:
by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1: since it is an isosceles triangle, the leg is 8.
Answer:
3, -8
(x is equal to 3 and y is equal to -8)
Step-by-step explanation:
<u>The system:</u>
{ 7x=-67-11y
{ 5x=-73-11y
<u>Finding a value for x:</u>
7x=-67-11y -> x = -
<u>Solving for y by plugging in our x:</u>
[Equation] 5x = -73 -11y
[Plug-in] 5( -
) = -73 -11y
[Distribute the 5] -
= -73 -11y
[Multiply by 7] 7 ( -
) = (-73 -11y) 7
[Simplify] -335 - 55y = -511 - 77y
[Add 335 and 77y to both sides] 22y = -176
[Divide by 22] y = -8
<u>Plug in our y to solve for x:</u>
5x = -73 -11y
5x = -73 -11(-8)
5x = -73 + 88
5x = 15
x = 3
Have a nice day!
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- Heather