Answer:
5√13
Step-by-step explanation:
We know that PQWV is a square because its given. A square has all congruent sides. Therfore, VW is 10. The. length of VU is fifteen because the length of PU is 25 since PRSU is a square. We know that m<PVW is 90 degrees because PQWV is a square. Therefore, we can say the m<UVW is 90 degrees because of a straight line. Using the pythagorean therom (a^2 +b^2=c^2 (where a and b are the legs and c is the hypotenuse)) we can say that √(10^2+15^2). This equals to √325. This can be simplified to 5√13.
Answer: x = 6
Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.
Next, you should combine your like terms. So, -14.76 = -88.56.
Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./
Lastly, calculate. Determine the sign for multiplication or division, so x = 88.56 / 14.76. Multiply both the numerator and denominator with the same integer. So, x = 8856 / 1476. Cross out the common factor, then you get your answer of x = 6
Answer:
540°.
Step-by-step explanation:
On a unit circle, cos θ = -1 at 180°.
However, cos θ has a period of 2π, or 360°. This means that cos θ will equal to -1 again after 2π.
To solve for the angle:
180° + 360° = 540°. This is the next angle at which cos θ = -1.
Part (a)
<h3>Answer: x = -8</h3>
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Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
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Part (b)
<h3>Answer: x = 5/11</h3>
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Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
