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k0ka [10]
3 years ago
9

Which statement is true about CR and DS?

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

It is given that, AB and P Q are parallel lines.Line segment CR and D S, intersect the two lines.

Line segment CR and D S ,are Transversal to parallel lines, AB and P Q.

⇒∠C + ∠ R=180°

⇒90°+∠ R=180°

∠ R=180°-90°

∠R=90°

Similarly, ∠S=90°

→∠R+∠S=90°+90°=180°

As, sum of interior angles on the same side of transversal is 180°, so lines are Parallel.

→CR║DS

Also, AB║CD→CD║RS.

If in a Quadrilateral, opposite sides are parallel, then it is a Parallelogram,and also each interior angle has measure 90°, so it is a Rectangle.

In a rectangle opposite sides are equal.

Step-by-step explanation:

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Roger is having a picnic for 78guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot
german

Question is Incomplete; Complete question is given below;

Roger is having a picnic for 78 guests. He plans to  serve each guest at least one hot dog. If each  package, p, contains eight hot dogs, which  inequality could be used to determine how many  packages of hot dogs Roger will need to buy?

1) p \geq 78

2) 8p \geq 78

3) 8 +p \geq  78

4) 78 + p \geq 8

Answer:

2) 8p \geq 78

Step-by-step explanation:

Given:

Number of guest in the picnic = 78 guest

Number of hot dog each guest will have = 1

Number of hot dogs in each package = 8 hot dogs.

We need to write the In equality used to determine the number of packages of hot dogs roger must buy

Solution:

Let the number of packages be 'p'.

First we will find the total number of hot dogs required.

so we can say that;

total number of hot dogs required is equal Number of guest in the picnic multiplied by Number of hot dog each guest will have.

framing in equation form we get;

total number of hot dogs required = 78\times 1 =78

Now we can say that;

Number of hot dogs in each package multiplied by number of packages should be greater than or equal to total number of hot dogs required.

framing in equation form we get;

8p\geq 78

Hence The In equality used to determine the number of packages of hot dogs roger must buy is 8p\geq 78.

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4. Factor the binomial.<br> 16x2 – 25
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Answer:

a^2-b^2=(a+b)(a-b) where a=4x and b=5. (4x+5)(4x-5)

Step-by-step explanation:

Since both terms are perfect squares,factor using the difference of squares formula

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YES CORRECT BOI

Step-by-step explanation:

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today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
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Answer:

Step-by-step explanation:

Let yesterday's price  be x

Discount percentage = 36%

Sale price = $ 560

(100-36)% of x = 560

64 % *x = 560

\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875

Yesterday's price = $ 875

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