Answer:
The answer to your question is: x = 27
Step-by-step explanation:
The are vertical angles, so they measure the same:
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20 Expanding
4x - 5x = -20 - 7 Simplify like terms
-x = -27
x = 27
Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x
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Answer:
Confidence interval = 48±4
Step-by-step explanation:
Given:
Mean X = 48
Standard deviation sd = 14.1
Computation:
Z table value of 90% = 1.645
Total number n = 33
Computation:
Margin of error M.E = Z[sd/√n]
Margin of error M.E = 4 approx.
Confidence interval = 48±4
Answer:
(2w-1)/5+w+2=2w
We simplify the equation to the form, which is simple to understand
(2w-1)/5+w+2=2w
Reorder the terms in parentheses
( + 0.4w-0.2)+w+2=2w
Remove unnecessary parentheses
+ 0.4w-0.2+w+2=2w
We move all terms containing w to the left and all other terms to the right.
+ 0.4w+1w-2w=0.2-2
We simplify left and right side of the equation.
-0.6w=-1.8
We divide both sides of the equation by -0.6 to get w.
w=3
Step-by-step explanation:
