Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Let x and y be the two numbers. We have:
Subtract the first equation from the second to get
And deduce
The two numbers are 3 and 11.
LM is 6.9 to 1dm and LM is 8
You didn't give any choices, but the equation looks like this: 17 = 2x + 5. Solving that for x tells you that he went on a big water slide 6 times. 2 times 6 plus 5 is the $17 he spent at the park. See how well that works out?
Q: How much did Jay have to pay excluding his share of the insurance premium?
A: $1800+$200 = $2000
Q: How much did Jay's company pay for his insurance premium?
A: $700. If Jay's $350 is 1/3 of the premium , then Jay's company pays 2*$350=$700 as rest of his premium.
Q: Jay paid 10% and the plan paid 90% beyond the deductible. How much did Jay's insurance company pay total?
A: Jay's insurance company paid $16200. Given that Jay paid $1800 beyond his deductible of $200 (and that is 10% of the actual cost) means that his plan (insurance company) paid 90%=9*$1800=$16200.
Q: How much did Jay have to pay total, including his share of the premium?
A: Jay paid $2350. He paid $200 deductible + $1800 beyond deductible + $350 premium
