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lisabon 2012 [21]
2 years ago
5

Hi! Thanks for helping

Mathematics
1 answer:
mojhsa [17]2 years ago
8 0

Answer:

x = 44

Step-by-step explanation:

(3x + 30) = 162 (opposite angles are equal )

3x = 162 - 30

x = 132/3

x = 44

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The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by
padilas [110]

Answer:

length = 35ft, width = 20ft

Step-by-step explanation:

We are working with length (L), width (W), and area (A). We are asked to find the 2 dimensions. The question tells us that L = W + 15, so we can express L in terms of W. However, we still don't know what A is. Since we have 2 unknowns, we somehow need to develop 2 equations to get a solvable system.

We can set up the first equation using the relationship between L and W:

W(W+15)=A

We can set up the second equation using the information in the second sentence:

(W-2)(W+13)=A-106

Now we can plug the first equation, already isolated for A, into the second equation and solve for W:

(W-2)(W+13)=W(W+15)-106\\W^2+11W-26=W^2+15W-106\\4W=80\\W=20

A pretty nasty-looking equation actually becomes pretty easy to solve. We know the length is 15ft greater than the width, so if W=20, L=35.

6 0
3 years ago
What operation must be used on the exponents in order to simplify the expression? (x^3)^7
mylen [45]

Answer: So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.

Step-by-step explanation:

3 0
3 years ago
A bottle contains 568 millilitres of milk, jack pours out half a litre. How much milk is left
aleksandrvk [35]
284 which means 568 divide 2 gives u 284
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3 years ago
Find the equation of the line that passes through the pair of points(-1,-2),(-1,3)
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Step-by-step explanation:

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5 0
3 years ago
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snow_lady [41]
The maturity value is the principal value together with interest due.
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.. ≈ 5501.58

The maturity value is $5501.58.
3 0
3 years ago
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