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Shalnov [3]
3 years ago
8

PLAN is a rectangle Its diagonals meet at O. Find the value of x if OP=2x+5 and OL=3x+2.​

Mathematics
1 answer:
mariarad [96]3 years ago
7 0
All 4 diagonals that have O as the origin in the middle that are connected to a corner will be the same length. So, since OP is the same length as OL, you can make the equations equal each other and solve for x.

2x+5 = 3x+2

Move the 2 over to the left by subtracting it from both sides

2x + 3 = 3x

Move the 2x over to the right by subtracting it from both sides

3 = x
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What is the equation of the line that is perpendicular to the given line and passes through the point (5,3)
Pani-rosa [81]

perpendicular lines have a slope that is a negative reciprocal


A) 4x-5y=5

subtract 4x

solve for y

-5y = -4x+5

divide by -5

y = 4/5 x+5   slope is 4/5  perpendicular slope is -5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = -5/4 (x-5)

B)  5x+4y = 37

subtract 5x

4y =-5x +37

divide by 4

y =-5/4 x +37/4  slope is -5/4 perpendicular slope is 4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = 4/5 (x-5)

C)4x+5y=5

subtract 4x

5y = -4x +5

divide by 5

y = -4/5 x +1

y =-4/5 x +1  slope is -4/5 perpendicular slope is 5/4

y -y1 =m(x-x1)  point slope form of a line

y-3 = 5/4 (x-5)

D)5x-4y=8

subtract 5x

-4y = -5x+8

divide by -4

y = 5/4 x-2

y =5/4 x +-2 slope is 5/4 perpendicular slope is -4/5

y -y1 =m(x-x1)  point slope form of a line

y-3 = -4/5 (x-5)



6 0
3 years ago
In August, 85% of the middle school students voted in a school election. The number of students who voted was 544. How many stud
Maksim231197 [3]

Answer:

640 students

Step-by-step explanation:

544 divided by 85%= 640

5 0
3 years ago
26 ptss!! select the expressions that are equivalent to the expression below.
valkas [14]

Answer:

1st, 2nd, and last.

Step-by-step explanation:

For the first two common rules can be applied such as n\sqrt{a/b} = \frac{\sqrt[n]{a} }{\sqrt[n]{b} } and that \sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}

and for the last one this is just simplifying the radical and if you factor it you realize that, \frac{750}{512} = \frac{5^3}{8^3}*6 meaning that you can take the radical off of 5/8 and end up with that final answer

7 0
3 years ago
HELP HELP HELP PLS SOMEBODY PLS
Elodia [21]

Answer:

A) Both estimates are slightly larger, so it is reasonable.

Step-by-step explanation:

Since 1/2 = 5/10

And 1/5 = 8/40

<u>Both estimates are larger</u>

7 0
3 years ago
Totes need help on my question 3^-34x+5678-(-89÷32-2100035
Allushta [10]
<span><span><span>‌<span>1/16677181699666568</span></span>‌x</span>+<span>‌<span>67382905/<span>32</span></span></span></span>
5 0
3 years ago
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