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marishachu [46]
1 year ago
11

Geometry, Angles questions ​

Mathematics
1 answer:
vodka [1.7K]1 year ago
4 0

Answer:

X= 82⁰

z= 82⁰

Step-by-step explanation:

for X:

we can use co-interior angles sum up to make 180 so,

x+ 98= 180

x= 180-90= 82⁰

for z, we can use either angles on a straight line or corresponding angles

  • using angles on a straight line,

98 + z= 180

z= 180-98= 82⁰

  • using corresponding angles

corresponding angles are always equal and can be found in the F shape diagram when lines are parallel

therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰

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Answer:

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Step-by-step explanation:

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2 years ago
What is the value of d and w?
Anettt [7]

Answer:

d = 65

w = 55

Step-by-step explanation:

w + 90 + 35 = 180

w + 125 = 180

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x = 25

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3 0
2 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?
Varvara68 [4.7K]
I think the answer is 2 13/20
Or, in decimals:             1.3
3 0
3 years ago
Which answer choice identifies the relevant information in the problem? Sarah left the house at 12:15 p.M. To go to the store. S
77julia77 [94]

Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

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Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

4 0
3 years ago
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