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4 years ago

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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Can someone please help me with this????<br> Thanks

natta225 [31]

Answer:

A (I believe)

Step-by-step explanation:

since the part with the triangle is 6 yards, and it looks about half of that whole side, I'm going to assume that that side is 12 yards, and since it's a square each side will be the same length. so multiply 12 and 12 to get 144.

Now divide that by four so you can get the area of a fourth of the square and find the area of the triangle. 144 ÷ 4 = 36

Now divide 36 by 2 to get the area of the little triangle. 36 ÷ 2 = 18

Now divide 18 by 6 to get x. 18 ÷ 6 = 3

In conclusion, the answer should be A.

Hope this helped!!! :3

8 0

3 years ago

Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour

PIT_PIT [208]

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

4 0

3 years ago

in the last election, 1,200 people in the precinct voted. the ratio of men to omen was 3 to 5. how many of the voters were women

AysviL [449]

3+5=8

1200 voters

1200/8 = 150

Female: 5 x 150 = 750 voters

Male: 3 x 150 = 450 voters

8 0

3 years ago

Dividir entre la raíz más cercana

inna [77]

Where is the question ?

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2 years ago

How can I solve ¾ - (-5/12)?

Oksana_A [137]

Answer:

$1 \frac{1}{6}$

Step-by-step explanation:

$\frac{3}{4}+ \frac{5}{12} =?\\$

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

$(\frac{3}{4}$ × $\frac{3}{3} )$ + $(\frac{5}{12}$ × $\frac{1}{1})=?$

Complete the multiplication and the equation becomes

$\frac{9}{12} + \frac{5}{12}$

The two fractions now have like denominators so you can add the numerators.

$\frac{9+5}{12} = \frac{14}{12}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (−5/12) = $1 \frac{1}{6}$

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (-5/12) = $1 \frac{1}{6}$

8 0

1 year ago