Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer.

Answers

Answer 1

Answer:

x=3 y=4

Step-by-step explanation:

   -3x + 5y = 11

+   3x + y = 13

Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:

6y = 24

Divide both sides by 6 to isolate the variable.

y=4.

Then just substitute the variable into any of the equations above. (I chose the equation on top)

-3x + 5(4) = 11

Then solve

-3x + 20 = 11 (then subtract 20 from both sides)

-3x = -9 (then divide both sides by -3)

x=3


Related Questions

In ABC, M belongs on AB so that AM:MB = 3:2 and N is the midpoint of CM. If the area of CNB is 35 in^2, find the area of CMB, AMC, ABC.

Answers

Answer:

CMB=50 ACM=75 ABC=125

Step-by-step explanation:

I know it’s too late for your principal test but i need my points.

Help me please if you can!

Don't guess!

Answers

Answer:

17 R 25

Step-by-step explanation:

long division. 17(15) is 510. 535-510 is 25, which is the remainder.

I will give you 15 pints pls answer

Answers

Answer:

A and C

Step-by-step explanation:

a bowling alley charges $3.00 to rent shoes and $1.50 per game bowled , write the eqations ?

Answers

Answer:

y intercept is 3 (shoes)

slope is 1.5 (games bowled)

Step-by-step explanation:

Make d the subject of the formula h =d/3 +2



Answers

h = d/3 + 2
h - 2 = d/3
3h - 6 = d

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of each solution did she use? Use the blanks below to fill in your numerical answers.

Answers

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Vinny took some pictures. He printed 28 of them. He has 36 left to print. How many pictures did he take?

Answers

Answer:

64 pictures

Step-by-step explanation:

36 + 28 = 64 pictures

Answer:

36+28=64

Step-by-step explanation:

that should be right

150 pounds to 135 pounds, What's the percent of change?

Answers

Answer:

The percent change from 150 lbs. to 135 lbs. is a 10% change:

(135-150)/150 x 100

-15/150 x 100

-0.1 x 100

-10% change

10% decrease

Your answer is: 10% change

ZA and ZB are vertical angles. If m_A = (4x – 13)° and m
ZB = (3x + 19)', then find the measure of ZA.

Answers

Answer:

115 degrees

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem.

Hence,

<A=<B

4x-13=3x+19

x=32

Substituting 32 in for x in <A

4(32)-13= 115

Can 10, 11, 2 be measures of the sides of a triangle

Answers

Answer:

Yes

Step-by-step explanation:

The Triangle Inequality Theorem says the sum of any two side lengths of a triangle has to be greater than the third side.

With the measures of 10, 11, and 2, this follows the theorem.

For example, 10 + 11 is 21, which is greater than 2.

11 + 2 is 13, which is greater than 10.

This works for all the combinations, so 10, 11, and 2 can be the side lengths.

Classify this triangle by its sides?

Answers

Answer:

Isosceles

Step-by-step explanation:

Hope this helps you

The answer is the first one

(SAT Prep) Find the value of x.

Answers

Answer: x=40°

Step-by-step explanation:

The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40

Answer:

huh

Step-by-step explanation:

just multi ply its not hard

It took 8 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles?

Answers

Answer:

It will take 3 hours to drive 90miles.

Step-by-step explanation:

240miles/8hours=30miles/1 hr. 90miles/3hours

solve the equation ( exponential equations)

[tex] {3}^{4} = {3}^{2x + 8} [/tex]


Answers

X is -2 I think if you’re solving for x if not 3^4 is 81

In ASTU, S = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ZU to
the nearest 10th of a degree.

Answers

Answer: 75.8

Step-by-step explanation:

If 3(x + 5) = 39, then what is x?

Answers

Answer:

x=8

Step-by-step explanation:

X=8 because 39/3 is 13 and 13- 5 is 8 and 5 and 8 add up to make 13 inside the parenthesis.

Answer:

x = 8

Explanation:3(x + 5) = 39Divide Both Sides By 3

3(x + 5) / 3 = 39 / 3

Simplify

x + 5 = 13

Subtract 5 From Both Sides

x + 5 - 5 = 13 - 5

x = 8

- PNW

100 points---please help
"Ay, marry, will I join with you all," quoth the Tinker, "for I love a merry life, and I love thee, good master, though thou didst thwack my ribs and cheat me into the bargain. Fain am I to own thou art both a stouter and a slyer man than I; so I will obey thee and be thine own true servant."


So all turned their steps to the forest depths, where the Tinker was to live henceforth.


What universal theme does this excerpt represent?


A. Money is everything.

B. Rebels inspire loyalty.

C. Obedience is better than rebellion.

D. Cheating will get you everywhere.

Answers

Answer:

a: everything is money

don't mind this it just said I need to write more to turn it in

Karlene paid $129 plus 6% sales tax for a guitar What was the total cost

Answers

Answer:

136.74

Step-by-step explanation:

Layla right her scooter 360 miles every week, she rides 60 miles every 3 hours. At this rate, how many hours will take Layla to ride 360miles.

Answers

Answer:

It will take Layla 6 hours to ride 360 miles

Step-by-step explanation:

The answer is 18 hours. It takes her 3 hours for 60 miles. 60 times 6 equals 360. So she had to ride 60 miles 6 times to get to 360 miles. Which means 6 times 3. So your answer is 18 hours.

Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Melanie performs the experiment 61 times. The results are shown below: A orange chew was selected 38 times. A cherry chew was selected 5 times. A peach chew was selected 18 times. Based on these results, express the probability that the next chew Melanie removes from the bag will be peach chew as a decimal to the nearest hundredth.

Answers

Answer:

0.30

Step-by-step explanation:

Given that:

Total number of trials = 61

Number of orange chews = 38

Number of cherry chews = 5

Number of peach chews = 18

Probability that next chew removed will be a peach chew ;

This is an experimental probability problem ;

Using the relation :

Experimental probability of A;

Number of successes (A) / total number of trials

Hence, Probability that next chew removed will be a peach chew ;

Experimental probability of peach chew :

Number of trails = 61 ; number of successes (peach chew) = 18

P(peach chew) = 18 / 61

P( peach chew) = 0.2950819

= 0.30 ( nearest hundredth)

Help please please please! I will mark you as brainlist !!!

Answers

Answer:

-90

Step-by-step explanation:

I took -90 divided it by 3 which gave me the answer of -30.

Answer:

I think it will be A.

Step-by-step explanation:

Because 9/3 =3 so 90/3 =30 . Same goes with Negative integers!

Round to the nearest tenth if necessary.

Find the distance between the two points.

(9, 12), (–2, 7)


146

20.2

12.1

16

Answers

Answer:

12.1 is the distance between the two points

a. angleFJG = angleHJG by SAS
PLEASE HELP

Answers

Answer:

J is midpoint

side FJ = side JH    Def of midpoint

angle GJF = GJH    perpendicular bisector both 90 degrees

JG=JG     reflexive property

Therefore triangle FJG = HJG

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP TEACHER NEEDS THIS BY THE END OF THE DAY ITS FOR 20PTS


Jacob studied on 3 different nights during the work week. He also put in an extra 45 minutes during the weekend. If Jacob studied the same amount of time each night during the week and 45 minutes on the weekend, how long did he study s each night during the week?


a. Write a 2-step equation that can be used to solve for the time Jacob studied each night.

Answers

Answer:

I think its 7x+45=3 but im not 100% positive

Answer:

what she said bc i got it right

Step-by-step explanation:

plz answer only if correct :))
(this is trig.ratios) in

Answers

Answer:

39

Step-by-step explanation:

Since you want to find the variable x all you have to do is simple subtraction.

The two numbers (61 and 22). Subtract those numbers and you get 39. Now it wants you to round to the jearest hundredth but there is no hundreds place so we can round to the nearest tenth. Which would be 30! Hope it helped... :)!

bye

5/6-1/9=?/?-?/? =13/18

Answers

15/18 - 2/18 = 13/18

Find the least common multiple of 6 and 9. The LCM is 18. In order to get 18 on the denominator with 6, you have to multiply by 3 because 6 times 3 is 18. You have to multiply 3 to the numerator, so 5 times 3 is 15. Thus, the first fraction is 15/18. To get the second, you need to find what would get you 18 on the denominator with 9. You need 2, so 9 times 2 is 18. You have to multiply 2 to the numerator, so 1 times 2 is 2. Thus, the second fraction is 2/18.

What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer

Answers

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = [tex]-\frac{7}{5}[/tex]

Which two expressions are equivalent?

Answers

The first one 9(6+x) is equivalent to
9x6+9 multiplied by x

v = u + at
u = 2 and a= -5 and t= 1/2
work out the value of v

Answers

Step-by-step explanation:

v=u+at

v=2+(-5)1

2

v=2-2.5

v=-0.5m/s²

hope it helps.

Answer:

[tex]v = u + at \\ v = 2 + ( - 5)( \frac{1}{2} ) \\ v = 2 + \frac{( - 5)}{2} \\ v = \frac{4 + ( - 5)}{2} \\ v = \frac{ (- 1)}{2} \\ v = - 0.5 \: m {s}^{ - 1} [/tex]

-0.5 m/s is the right answer.

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