Answer: See explanation
Step-by-step explanation:
25% + 25% + 25%
= 75%
10% + 25%
= 35%
50% + 10%
= 60%
10% + 10%
= 20%
(1/3+1/2)-(5/6-3/4)=
1/3+1/2-5/6+3/4=
4/12+6/12-10/12+9/12=
10/12-1/12=
9/12=
3/4
L * W = A.
L + 5 = W
Substitute (L + 5) for W in the first equation.
L(L + 5) = A = 456.
distribute the L.
L² + 5L = 456
L² + 5L - 456 = 0
(L + 24)(L - 19) =0
L= - 24 and L = 19.
Because 19 is positive L = 19.
Because 24 is 5 more than L and when multiplied by L = 456, W = 24.
Answer:
<u>A. Mean = 402.5</u>
<u>B. Variance = 77,556.25</u>
<u>C. Standard Deviation = 278.49</u>
Step-by-step explanation:
Let's calculate the mean, variance and standard deviation of the set of numbers given:
A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>
B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>
C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>
Given
R is the interior of ∠ TUV.
m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.
Find the value of x and the m ∠TUV.
To proof
As given in the question
m ∠TUV=3x+16, and m ∠TUR=x+10
thus
m∠ RUV = m∠ TUV - m∠ TUR
= 3x + 16 - x -10
= 2x + 6
As given
m ∠RUV=30°
compare both the values
we get
30 = 2x + 6
24 = 2x
12 = x
put this value in the m ∠TUV= 3x+16
m ∠TUV= 12× 3 +16
= 52°
Hence proved