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Kamila [148]
3 years ago
10

What is the value of x? x= ??

Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

X=50

Step-by-step explanation:

Because the top and bottom angles are formed by 2 intersecting lines, we know that the angles are equivalent to each other via the vertical angle theorem. This allows us to set the following equation:

[2(x+10)]=(3x-30)

You would then distribute the 2 on the left side to get

2x+20=3x-30

Then, simply combine like terms.

20+30=3x-2x

Simplify.

50=x

The answer is therefore 50.

You might be interested in
What is the volume of the square pyramid with the base edges 24 ft and height
liberstina [14]

Answer:

A

Step-by-step explanation:

The volume of a pyramid is one third the height times the area of the base.

V = ⅓ h A

The base is a square, so the area is the width times length.

V = ⅓ h wl

Problem is, we don't know the height, only the slant length.  But we can use this to find the height.

If we cut a cross section down the middle of the pyramid, we get an isosceles triangle.  The base of the triangle is 24, and the legs are 37.

If we cut this triangle in half, we get two right triangles.  Each right triangle has a base of 12 and a hypotenuse of 37.

Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.

c² = a² + b²

37² = 12² + h²

h = 35

Now we can find the volume.  h = 35, w = 24, and l = 24:

V = ⅓ h wl

V = ⅓ (35) (24) (24)

V = 6720

So the volume is 6720 ft³, or answer A.

8 0
3 years ago
How do I solve #14????
Tcecarenko [31]
All the measures in a triangle are equal to 180 degrees.

Let the unknown angle= x.

40+89+x= 180

Combine like terms.

129+x= 180

Subtract 129 from both sides.

x= 51

The angle is equal to 51.

I hope this helps!
~kaikers
5 0
3 years ago
Find 6/7 of £60 to the nearest penny.
hammer [34]

Answer:

B

Step-by-step explanation:

60:7×6=51,428

jskks

5 0
3 years ago
Read 2 more answers
suppose a population consists of 5000 being surveyed could result in sample statistic but not parameter
Talja [164]
Huh? What is the question here???
4 0
3 years ago
A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
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