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Nikitich [7]
4 years ago
15

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 and NP=5x+20, solve for x.

Mathematics
2 answers:
zhuklara [117]4 years ago
4 0
D) 28 is the right answer
find the attachments for the details

Cerrena [4.2K]4 years ago
4 0

Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

2\times OR=NP

Upon substituting the given expressions for both segments we will get,

2(3x-4)=5x+20

Using distributive property we will get,

6x-8=5x+20

Subtracting 5x from both sides we will get,

6x-5x-8=5x-5x+20

x-8=20

Now, we will add 8 on both sides

x-8+8=20+8    

x=28

Therefore, the value of x is 28 and option D is the correct choice.

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garri49 [273]

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/

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it is A

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Step-by-step explanation:

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The vertices of a triangle are A(7,5) B(4,2) and C(9,2) what is mABC
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andre [41]

Answer:

∠X in the pre-image will be equal to ∠L in the main image

Step-by-step explanation:

△LMN is the result of a reflection of ​ △XYZ which means △LMN is the mirror image​ △XYZ

hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN

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ankoles [38]

Answer:

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Step-by-step explanation:

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