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Olin [163]
3 years ago
14

A rectangular garden has a walkway surrounding it that is 4 feet wide (a uniform width

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Answer: 300 square feet  

Step-by-step explanation:

length of walkway = 20 + 2x

width of walkway = 15 + 2x

A(x) = (20 + 2x)(15 + 2x)

A(x) = 300 + 30x + 40x + 4x2

A(x) = 300 + 70x + 4x2

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One angle of a triangle measures 136°. The other two angles are congruent. Enter and solve an equation to find the measure x of
Juliette [100K]

<u>136 + x + x = 180. Or, to simplify, 136 + 2x = 180. The congruent angles measure 23 degrees each.</u>

We know this because of a simple rule that goes for all triangles: The measures of all three angles in a triangle will <em>always</em> add up to 180 degrees.

One angle of a triangle measures 136 degrees. The other two angles are congruent (have the same measure).

(x stands for an unknown angle measure.) So the equation we would use is 136 + 2x = 180. We can solve this within a few steps.

1. We subtract 136 from 2x in order to isolate 2x. But if we subtract something from the left side of the equation, we have to subtract it from the right side too. Otherwise the equation will be wrong; We would be taking away the balance.

2x = 180 - 136

2. Now that 2x is isolated, we solve 180 - 136.

2x = 46

3. If we know now that 2x is equal to 46, how do we find out what x is equal to? We divide by 2 (on both sides or it'll be wrong) to get x.

2x = 46

2x/2 = 46/2

x = 23

Now we know! x = 23... The other two angles are both 23 degrees. We can check to see if that's right by solving 23 + 23 + 136... Does it add up to 180? Yes! :)

7 0
4 years ago
H(x) = 5.7 −19x<br><br> A. <br> -127.3<br> B. <br> -138.7<br> C. <br> 0.67<br> D. <br> 138.7
Vilka [71]

Answer:

x = 0.3 (see below)

Find the x intercept/zero.

To find x intercept/zero, subsitute H (x) = 0.

0 = 5.7 - 19x

Move the variable to the left hand side and change the symbol.

19x = 5.7

Now, divide both sides.

x = 0.3

Solution is 0.3

Alternate solution is x = 3/10.

Hope it helps!

6 0
4 years ago
Need help use screenshot(SAT Prep) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. bd equals?
Lilit [14]

Answer:

5.36

Step-by-step explanation:

Given that:

<BAD = <CAE, therefore, BD = EC

Let's take x to be the length of BD = EC

BD + DE + EC = BC

BC = 20,

BD = EC = x

DE ≈ 9.28

Thus,

x + 9.28 + x = 20

x + x + 9.28 = 20

2x + 9.28 = 20

Subtract 9.28 from both sides

2x + 9.28 - 9.28 = 20 - 9.28

2x = 10.72

Divided both sides by 2 to solve for x

\frac{2x}{2} = \frac{10.72}{2}

x = \frac{10.72}{2}

x = 5.36

BD ≈ 5.36

4 0
4 years ago
Which equation shows an example of the associative property of addition?
Nat2105 [25]

The associative property states that we can regroup the terms of an expression and obtain the same result.

We have then:

a + (b + c) = (a + b) + c

The expression that complies with this property is given by:

(-4 + i) + 4i = -4 + (i + 4i)

Answer:

An equation that shows an example of the associative property of addition is:

a. (- 4 + i) + 4i = -4 + (i + 4i)

6 0
3 years ago
Read 2 more answers
If point Q does not lie on the x-axis or the y-
natta225 [31]

Answer:

E. II or IV only

hope it helps :)

mark brainliest!!

5 0
2 years ago
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