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QveST [7]
2 years ago
5

Geometry please help!

Mathematics
1 answer:
o-na [289]2 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.

First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.

Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:

1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.

2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.

In conclusion, x = 3.

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 548 fee
aliina [53]

Answer: 274/3 and 137 ft

Step-by-step explanation:

Total fence used: 548 ft

So, perimeter will be 548 ft, including the fence that divides the land.

Consider the playground the drawing below.

__________x________

|                                        |

|                                        |   y

|                                        |

|__________________|

Let's consider that the playground is going to be divided parallel to y (and there's no problem, because if you choose parallel to x, the area will be the same). So, the perimeter (the sum of all sides) will be:

2x + 3y = 548

And the area

A = x.y

Isolating x, we have:

x = (548 - 3y)/2

Substituting the x in the Area equation:

A = (548 - 3y)/2 . y = 548y - 3y²/2 = 274y - 3/2y²

A = 274y - 3/2y²

So, it's a quadratic function. And, to find out the maximum area that the playground can have, we need to find the y-vertex of the parabola: y-vertex = Δ/4a

a = -3/2    b = 274     c = 0

Δ = 274² - 4.(-3/2).0 = 274² = 75076

Amax = -Δ/4a = -75076/4.(-3/2) = 75076/6 = 12512.7 ft²

y = -b/2a = -274/2.(-3/2) = 274/3 ft

x = (548 - 3y)/2 = (548 - 3.274/3)/2 = 274/2 = 137 ft

4 0
3 years ago
Which statement is true about the potential
dezoksy [38]

Answer:

Only x=-2 is an extraneous solution is the answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is x ^ 2 + y ^ 2 = 6 a function?
oee [108]

Answer:

not a function

Step-by-step explanation:

for example

In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.

For x2+y2=9

XXXXif (for example) x=0

XXXXthere are two values for y (namely +3 and −3) which satisfy the equation

and therefore the equation is not a function.

3 0
2 years ago
horn y ?????????????????????? ??????? ????????????bgfbxfdcfyctzfxc hcyxydyxhc h cyxtxf y ffsdvbnbf vgrgbxxcb hhfvsd am dj di​
Alina [70]

Answer:

<em>n o  </em>?????????????????????? ??????? ????????????bgfbxfdcfyctzfxc hcyxydyxhc h cyxtxf y ffsdvbnbf vgrgbxxcb hhfvsd am dj di​

7 0
3 years ago
Read 2 more answers
The average of five numbers is 790.6. If the first four numbers are 80.2, 91.6,123,and 204.7,what is the sum of the five numbers
aleksklad [387]

Answer:

291 .1

Step-by-step explanation:

80.2 + 91.6 + 123 + 204.7 + x = 790.6

790.6 - 499.5 = 291. 1

8 0
2 years ago
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