Answer:
Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The value of Q = 7m + 3n
- The value of R = 11 - 2m
- The value of S = n + 5
- The value of T = -m - 3n + 8
* To simplify Q - [R + S ] - T substitute the value of each letter in
the expression
- Lets find R + S
∵ R = 11 - 2m
∵ S = n + 5
∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term
∴ R + S = 16 - 2m + n
∵ Q = 7m + 3n
∵ T = -m - 3n + 8
- Lets simplify the rest of the expression
- Remember (-)(-) = + and (-)(+) = -
∵ Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)
∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms
∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)
∴ Q - [R + S] - T = 10m + 5n - 24
Answer:
x = 21 units
Step-by-step explanation:
<em>The tangent squared is equal to the secant's total length multiplied by the secant's length without the part inside the circle.</em>
So here, that will look like: <em>36² = 27 * (27 + x)</em>
Expansion and multiplication gives us: <em>1296 = 729 + 27x</em>
Subtract from both sides: <em>567 = 27x</em>
Divide from both sides: x = 21.
Answer:
x=0
Step-by-step explanation:
-8-3x=-8(1-7x)
add 8 to both sides =( -3x=56x)
subtract 56x from both sides (-59x=0)
divide both sides by -59 = (x=0)
<span>A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc.</span>