Answer:
x = 8
Step-by-step explanation:
log₅ (10x − 1) = log₅ (9x + 7)
10x − 1 = 9x + 7
x = 8
<span>If dog food costs $2 a pound and Cara buys 9 pounds, her expenditure on dog food is 9 x 2. This makes $18. If she has a total budget of $25 and spends $18 on dog food, she has $7 left over for treats (25 - 18 = 7). At $1 each, she can buy up to 7 treats.</span>
To find the value of x, you want to use the vertical angles theorem.
The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.
TRY = QRW, so:
(x+16) = (4x-5)
1. Add 5 to both sides.
(x+21) = (4x)
2. You can get rid of the parentheses.
x+21 = 4x
3. Subtract x from both sides.
21 = 3x
4. Divide both sides by 3, isolating x.
7 = x
5. Flip this equation around, so:
x = 7
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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).
TRY => ((7)+16) = 23
Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.
23+23 = 46
A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.
360-46 = 314
TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.
314/2 = 157
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Answers are:
TRY = 23
TRQ = 157
Y=5/6x+7/6
i dont know if thats the answer your looking for but here
Answer:
43.75
Step-by-step explanation:
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