Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.

Answers

Answer 1

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer 2

Answer:

good job

Step-by-step explanation:


Related Questions

Correct 25.0457 to 2 significant figure

Answers

9514 1404 393

Answer:

  25.

Step-by-step explanation:

The first two significant figures are 2 and 5. The next figure is 0, so we don't need to round up. The number to 2 significant figures is 25.

Put the steps in order?

Answers

1) distribute 2 to each term within the parentheses

2) combine like terms . ( which means you would subtract 6 - 2 )

3) subtract 4 from bout sides of the equation

4) divide both sides of the equation by 4

5)final answer x = 1/4

Marco went to the cafeteria to buy chicken sandwiches, C, worth $2.00, and hamburgers, h, worth $2.50.
He bought a total of 9 items and spent a total of $20.50. How many hamburgers and chicken sandwiches
did Marco buy?
HELP

Answers

Answer:

5 Hamburgers  = $12.50 4 Chicken sandwiches $8.00( $12.50 + $8.00 = $20.50

Step-by-step explanation:

Answer:

Marco bought 5 hamburgers and 4 chicken sandwiches.

Step-by-step explanation:

Set up a system of equations:

2c + 2.5h = 20.5

c + h = 9

Solve by elimination by multiplying the bottom equation by -2:

2c + 2.5h = 20.5

-2c - 2h = -18

Add the equations together and solve for h:

0.5h = 2.5

h = 5

So, he bought 5 hamburgers. Plug in 5 as h into the second equation to solve for c:

c + h = 9

c + 5 = 9

c = 4

So, Marco bought 5 hamburgers and 4 chicken sandwiches.

50% of 320 is equal to 80% of what number?

Answers

Answer:

128

Step-by-step explanation:

Abdul made $252 for 12 hours of work.At the same rate,how many hours would he have to work to make $105

Answers

Answer:

5 hours

Step-by-step explanation:

252 divided by 12= 21

21x5=105

I need this answer ACAP, please! (Marta likes to make soup during the winter months. No matter how much soup she makes, she always freezes 32 ounces to save for later, then serves what's left).

60 divided by 32
60 plus 32
60 times 32
60 minus 32

Which one?

Answers

Answer:

60 minus 32

Step-by-step explanation:

Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?

Answers

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?

Answers

Answer:

Total cost= $768.66

Step-by-step explanation:

Giving the following information:

Production= 15 units

Standard quantity= 14 pounds per unit

Standard cost= $3.66 per pound

First, we need to calculate the total pounds required to make the hamburgers:

Total pounds= 14*15

Total pounds= 210 pounds

Now, the total cost:

Total cost= 210*3.66

Total cost= $768.66

A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?

Answers

Answer:

The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle

Step-by-step explanation:

Hopefully its right!

-4(-5+x)>56
??? whats the answer

Answers

Answer:

x < -9

Step-by-step explanation:

-4(-5+x)>56 (given)

20 - 4x >56 (distributive property of inequality)

-4x > 36 (subtraction property of inequality)

x < -9 (division property of inequality)

The sign flips since it was divided by a negative number.

Help please! Thanks!

Answers

Answer:

50

Step-by-step explanation:

120 +angle1 = 180  angle 1 is 60   70+60+angle2 should be equals 180 so 2 is 50 degree

1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree

60+40 +angle3 = 180 angle3 is 80  

3+4 should be equal 180 3 is 80 180-80= 100 4 is 100

please answer fast
but i need a correct
answer

Answers

Answer:

Step-by-step explanation:

11/20ths

Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.

The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.

The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.

Answers

Answer:

wow thats some good information there!

Step-by-step explanation:

HELP!! BRAINLIEST AND 10 POINTS !!!! THANK YOU SO MUCH

Answers

Answer:

B and C

Step-by-step explanation:

BRAINLIEST PLEASE

HELP PLEASE
3. A child swims 50 yards in 50 seconds.
How many FEET can she swim per second?

Answers

Answer:

3 ft.

Step-by-step explanation:

They swim 1 yard a second and 1 yard = 3 ft.

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

can someone help me answer this question please?

Answers

Answer:

A

Step-by-step explanation:

f(x) = (x + 3)(x + 2)(x - 3)

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

help plz (I give you brainlist)

Answers

Answer:

58.3825

Step-by-step explanation:

Add all 4 numbers together and divided by how many numbers are there (4)and you get your answer

Which statement is Irue about the given information?
+
B
с
DE

Answers

Answer:

b

Step-by-step explanation:

awnser 3

both are congrent

Graph the function . What is the missing x-coordinate for the point , to the nearest tenth?

6.1
7.3
8.4
9.5

Answers

Answer:

Your answer would be D. 9.5.

Step-by-step explanation:

Edge 2020

Answer:

The Answer is 9.5

Step-by-step explanation:

Edge 2021

Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?

Answers

Answer = 13$
Explanation = This would mean each taco would be roughly 1.3$ since 4/3=1.333, so 1.3x10=13$

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−3, 3)

(7, 0)

(−1, −6)

(11, 3)

Answers

The answer is (7,0)

I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Answer: (7,0) and (11,3). i don’t know how many is max.

Explanation: 3(7)-4(0)=21
21-0=21 ✅

Explanation: 3(11)-4(3)=21
33-12=21 ✅

Both of these are true!

Which property was used to simplify the expression?
4(b+2) = 4b+8
distributive property
commutative property
associative property
inverse property

Answers

Answer:

distributive

Step-by-step explanation:

they took the number outside of the parentheses and multiplied by the inside

Will give brainliest if correct.

Answers

Answer:

The equation is y = 3x + 15.

The second equation is y = 3 * 50 + 15

If you have a value of 50 berries picked, you would make 165 dollars.

What is 1 5/9 as a percent?

Answers

Answer:

1 and 55%

Step-by-step explanation:

Five divided by nine.


Which set of ordered pairs represents a function?
A {(1, 2), (2, 3), (2, 4), (2,5)}
B {(2, 3), (3, 5), (5, 7), (7, 9)}
C {(3, 3), (3, 5), (3, 6), (4, 5)}
D {(0,1), (0, 2), (0, 3), (0,4)}

Answers

Answer:

Step-by-step explanation:

The anser would be B.

The y is allowed to repeat a number but the x cannot. If the x does repeat a number then its not a function. (X,Y)

Find the area of the trapezoid.

Answers

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2. According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). A=a+b
2h. According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides). Where, h is the height and b1 and b2 are the parallel sides of the trapezoid. Area= 13.5+9.5=23/2= 11.5x5=57.5cm squared.


Find the length of YZ.

Answers

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The triangle is right-angle so we are allowed to use the Pythagorean theorem.

According to the Pythagorean theorem :

[tex] ({XZ})^{2} = ({XY})^{2} + ({YZ})^{2} [/tex]

[tex] {65}^{2} = {56}^{2} + ( {YZ})^{2} [/tex]

[tex] {65}^{2} - {56}^{2} = ({YZ})^{2} [/tex]

[tex]( {YZ})^{2} = 1089[/tex]

[tex]YZ = \sqrt{1089} [/tex]

[tex]YZ = 33[/tex]

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number 10?? please help.

Answers

Answer:

∠GFM= 124°

Step-by-step explanation:

∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)

∠GFH= 90° -5x° -9°

∠GFH= (81 -5x)°

∠GFM +∠GFH= 180° (adj. ∠s on a str. line)

25x -1 +81 -5x= 180

20x +80= 180 (simplify)

20x= 180 -80 (-80 on both sides)

20x= 100

x= 100 ÷20 (÷20 on both sides)

x= 5

∴∠GFM

= 25x -1

= 25(5) -1

= 124°

The ratio of the sides of two similar rectangles is 3:5. The larger rectangle has an area of 36 sq. cm. What is the area of the smaller rectangle?

Answers

Answer:

21.6 sq cm

Step-by-step explanation:

3:5

x:36

cross-multiply because they are in proportion

x*5=3*36

divide both sides by 5

x= 3*36/5=21.6

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