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avanturin [10]
1 year ago
8

The triangles are similar. Find x.A. 3.5B. 2.24C. 1.6D. 3.6

Mathematics
1 answer:
Lerok [7]1 year ago
5 0

When two triangles are similar, then the ratios of their corresponding sides will be equal:

so 2.4/3 = 2.8/x = y/4.5

Use the ratio that involves the x and the two values that are given:

2.4/3 = 2.8/x

Then, solve the equation for x to find the missing side:

2.4/3 = 2.8/x

(2.4 / 3 ) x = 2.8

x = 2.8 / (2.4/3)

x = 3.5

The correct option is A.

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3. Sandy's Sweets sells cookies for $1.50 cach while Barbara's Bakery sells cookies for $2.10 each. After
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Step-by-step explanation:

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2 years ago
The height of a wooden pole, h, is equal to 15 feet. Ataut wire is stretched from a point on the ground to the top of the pole.
Taya2010 [7]

The question is incomplete. Here is the complete question:

The height of a wooden pole, h, is equal to 15 feet. A taut wire is stretched from a point on the ground to the top of the pole. The  distance from the base of the pole to this point on the ground, b. is equal to 8 feet. What is the length of the wire?

Answer:

Length of wire = 17 feet

Step-by-step explanation:

Given:

The height of the wooden pole is, h=15\ ft

The distance from the base of the pole to this point on the ground is, b=8\ ft

Let the length of the wire be 'l'.

Now, consider the triangle formed by the pole, the base, and the wire. The length of the wire is the slant length and hence the hypotenuse of the triangle.

Using Pythagorean theorem, we can find the hypotenuse.

(Hypotenuse)^2=(height)^2+(base)^2\\l^2=h^2+b^2

Plug in the given values and solve for 'l'. This gives,

l^2=15^2+8^2\\\\l^2=225+64\\\\l^2=289\\\\l=\sqrt{289}\\\\l=\pm17

As length can never be negative, we ignore the negative result.

Therefore, the length of the wire is 17 feet.

7 0
4 years ago
An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangul
valentina_108 [34]

Answer:

Part a) Rectangle

Part b) Triangle

Step-by-step explanation:

<u><em>The picture of the question in the attached figure N 1</em></u>

Part A) A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section?

we know that

When a geometric plane slices any right pyramid so that the cut is parallel to the plane of the base, the cross section will have the same shape (but not the same size) as the base, So, in the case of a right rectangular pyramid, the cross section is a rectangle

Part b)  If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section?

we know that

Cross sections perpendicular to the base and through the vertex will be triangles

see  the attached figure N 2 to better understand the problem

5 0
4 years ago
356 I want the greatest odd number by using these num​
kari74 [83]

Answer:

33

Step-by-step explanation:

We cant make greatest odd num by adding these numbers but:

33

3 0
3 years ago
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