In rectangle FGHJ , the diagonals intersect at point M, FM = 3.2x , and JG = 40.


What is the value of x?


Enter your answer as a decimal in the box.

Answers

Answer 1

Answer:

[tex]x=6.25[/tex]

Step-by-step explanation:

FM=3.2x

JG=40

Generally the diagonal of a rectangle are equal to each other and diagonal bisects each other

Therefore

[tex]2FM=JG[/tex]

[tex]2*(3.2x)=40[/tex]

[tex]x=40/6.4[/tex]

[tex]x=6.25[/tex]

Answer 2

Answer:

x=6.25

Step-by-step explanation:


Related Questions

What is the surface area of a cuboid with sides measure 7 in, 3 in and 5 in?

Answers

The surface area the cuboid is 142 inches²

The surface area of the cuboid is given as:

= 2lw + 2lh + 2hw

where, l = length

h = height

w = width

Therefore, the surface area of the cuboid given will be:

= 2lw + 2lh + 2hw

= 2(7×3) + 2(7 × 5) + 2(3 × 5)

= 2(21) + 2(35) + 2(15)

= 42in + 70in + 30in

= 142 inches²

The surface area of the cuboid is 142inches²

Read related link on:

https://brainly.com/question/23700866

Question:-

What is the surface area of a cuboid with sides measure 7 in, 3 in and 5 in?

Solution:-

Given,

> Sides = 7inches , 3inches, 5inches.

Now,

> Surface area of cuboid = 2lw + 2lh + 2hw

> 2 (7 × 3) + 2(7 × 5) + 2(3×5)

> 2 (21) + 2 (35) + 2 (15)

> 42 + 70 + 30

> 142 inches²

Answer:-

142 inches²

3. A team of biologists tagged 48 seals off the coast of an island. Later they captured a
sample of seals from the same area and found that 15% of them had tags. Use this
information to estimate the number of seals in the area.

Answers

Step-by-step explanation:

A team of biologists tagged 48 seals off the coast of an island.

later they captured a sample of seals from the same area and 15% of them had tags.

Estimate the total number of seals.

15 : 100 : : 48 : x

x

=4,800/15

=320

The total number of seals is about 320.

I hope it's helpful!

Use the slider to change the scale factor. The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle? ​

Answers

Answer:

5 by 4

Step-by-step explanation:

sleepy haha sleepy sleepyy

Answer:

THe answer 5 by 4

Step-by-step explanation:

:)

Solve for x. Show all work plz.
3(x + 5) = x - 7

Answers

Answer:

x = - 11

Step-by-step explanation:

3(x + 5) = x - 7

3x + 15 = x - 7

2x  = -7 - 15

2x = - 22

x = - 11

Hope this helps!

Samuel has $60 in a savings account. Each week he deposits $12 in the account. Which expression is equivalent to the total amount in the account after x weeks? select all that apply.
a. 60x + 12
b. 60 + 12x
c. 12(5 - x)
d. 12x + 60
e. 12(5 + x)

Answers

Answer:

B, D, E

Step-by-step explanation:

As Samuel adds money to his account we are multiplying the times he adds with 12 therefore x multiplied by 12 will give us the total he added + 60 the original number.

As of D the position does not matter because B and D are both the same.

For E if we distribute or multiply 12 into the brackets we get the same statement as that of B and D.

A does not work because he is adding 12 dollars into the account everytime and not 60 dollars, C doesn't work because we would be subtracting the amount he is adding so we would be removing the money from the bank.

this is due tomorrow if someone could help me that would be great <3

Answers

Hope this helped!

First Row

[tex]\frac{5}{18}[/tex]

[tex]\frac{10}{21}[/tex]

[tex]\frac{9}{40}[/tex]

6

5[tex]\frac{1}{3}[/tex]

(this one is already done)

Second Row

4[tex]\frac{4}{9}[/tex]

5[tex]\frac{1}{16}[/tex]

[tex]\frac{13}{18}[/tex]

6[tex]\frac{1}{4}[/tex]

11[tex]\frac{2}{3}[/tex]

Given that 3x-6y=11 find y when x=-4 give your awnser as an improper fraction

Answers

Answer:

y = -23/6

Step-by-step explanation:

1. Substitute x.

3 x -4-6y = 11

-12-6y=11

2. Solve

-12-6y=11

+12     +12

-6y= 23

y= -23/6

Step-by-step explanation:

-12-6y=11

-6y=23

6y=-23

y=-23:6

y=3.8

(if I remember this correctly)

It’s this one and I’m done

Answers

Answer:

168 in

Step-by-step explanation:

Pythagoras says:

b² + 56² = 70²

so

b² = 70² - 56²

b = √1764 = 42

so the perimeter is 70+56+42 = 168

How many solutions does (3x – 15) = x - 10 have?

Answers

Answer:

3

Step-by-step explanation:

My name is Kal-El. If you’re reading this it means that I am dead.

Help ASAP

Convert the measurement. Round to the nearest hundredth.
6 feet=___ meters

Answers

Answer:

1.83

Step-by-step explanation:

The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
final equation is y=3x-1

8=−2/5c

Help me

I’m single ready to mingle

Answers

Answer:

-20

Step-by-step explanation:

First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.

Which equation can be used to find the sale price, s, of an oil change?
1. s= 85 • 30
2. s= 85/30
3. s= 0.85 (30)
4. s= 0.85/30

Answers

The equation that can be used to find the sale price ,s, of an oil change would be =s= 0.85 (30). That is option 3.

What is sale price?

A sale price of a product is defined as the cost of that product which shows its value in the market or economy.

The oils change at city auto = $30

The percentage of coupon that Mr Allen has = 15% of $30

That is;

= 15/100 × 30

= 450/100

=$ 4.5

= 30-4.5 = $25.5

The sale price = $25.5 which is the same as 0.85 (30) since 100-15 = 85%= 0.85

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

Complete question:

An oil change at city auto is regularly $30 Mr. Allen has a coupon for 15% off.

Which equation can be used to find the sale price, S, of an oil change?

Dos fuerzas coplanares concurrentes tienen magnitudes 3 N y 4 N. Si las fuerzas son perpendiculares entre sí, la magnitud de la resultante será en Newton:

Answers

Answer:

12 N

Step-by-step explanation:

Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?

Answers

Answer:

2 miles per hour

Step-by-step explanation:

She miles 1/2 mile every 15 minutes or 1/4 hours so

1/2*4=2 miles per hour

Find the missing number of each unit rate 48/3 = ?/1 56/8 = ?/1

Answers

Answer:

16 and 7

Step-by-step explanation:

48/3 = 16.   16 = 16/1

56/8 = 7.     56/8 = 7/1

PLEASE HELP:

The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross, (CIT) city income tax of 1.2% of gross, social security, and medicare. Her next monthly pay is $3,981.22. Find Jennifer's monthly gross pay.


A) $4,529.05

B) $4,551.23

C) $4,576.58

D) $4,589.08

Answers

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

HELP ME PLEASE !!!

Answers

Answer:

A realistic budget is hard to come by. All budgets tell you what you should include in your monthly plan, but what about unexpected expenses? Here are some ideas for making a realistic budget, and sticking to it.

daid1784 avatar

Well, the dozens of apps, spreadsheets, and other methods just don’t account for real life and all the expenses we don’t think of. There are plenty of expenses we have that aren’t monthly that take up more of our money than we planned.

(The question is in the photo)

Answers

Answer:

6.99

Step-by-step explanation:

11.99+2.99+5.99=20.97

20.97/3=6.99

11.99 + 2.99 + 5.99 = 20.75
Divide by 3 (3 friends)
20.75/3= $6.99

Jasmyn uses 42% of a gift card to buy groceries if she spent $67.20 on groceries, how much was on the gift card to begin with

Answers

Answer:

The card was worth $160.

Step-by-step explanation:

It is given that:

Percent of gift card used = 42%

Cost of groceries = $67.20

Let,

x be the total amount on gift card.

42% of x = 67.20

[tex]\frac{42}{100}x=67.20[/tex]

0.42x = 67.20

[tex]\frac{0.42x}{0.42}=\frac{67.20}{0.42}\\x=160[/tex]

Therefore,

The card was worth $160.

Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?

Answers

(-1,1.5) because you add both ys and both xs then divide by two to find the middle

Rectangle A is 10 times as long as rectangle B.



If rectangle A is 80 units long, select all the ways to find the length of rectangle B. *


Answers

Answer:

Step-by-step explanation:

You will have to find what times what = 80 so 8 x 10 = 80 so the answer is 8

Answer:

Rectangle B is 8 units long.

Step-by-step explanation:

One way to Figure it out is to take 80 (rectangle A) and divide it by 10.

80/10 = 8

34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?

Answers

Answer:

50%

Step-by-step explanation:

34/68=0.5=50%

Answer:

50%

Step-by-step explanation:

because yes

What is the value of x?



Enter your answer in the box.
__ Units

Answers

Answer:

47

Step-by-step explanation:

A roof has a cross section that is a right triangle. The diagram shows the approximat
dimensions of this cross section. Find the
height h of the roof.
Y
5.5 m
3.1 m
h
Z
W
х
6.3 m
Height of the roof =
m
(if necessary, round your answer to the nearest tenth)

Answers

I’m not too sure height of roof 67

Answer:

67

Step-by-step explanation:

Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.

Answers

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

The amount of ingredients that Mark still requires after getting it from the kitchen is needed.

The amount of ingredients Mark still needs is

200 g of butter

200 g of caster sugar

14 eggs

1500 g of flour

The number of cupcakes that are needed for 152 adults and 80 children is

[tex]152+2\times 80=312[/tex]

For the 12 cupcakes the ingredients are

200 g butter

200 g caster sugar

4 eggs

250 g flour

For 1 cupcake the ingredients are

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter

[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar

[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs

[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour

For 312 cupcakes

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter

[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar

[tex]312\times \dfrac{1}{3}=104[/tex] eggs

[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour

The required ingredients are

[tex]5200-5000=200\ \text{g}[/tex] of butter

[tex]5200-5000=200\ \text{g}[/tex] of caster sugar

[tex]104-90=14[/tex] eggs

[tex]6500-5000=1500\ \text{g}[/tex] of flour

Learn more:

https://brainly.com/question/20029273

https://brainly.com/question/3497270

HELP ASAP

Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

A.62x=1
62x/62=1/62
X=1/62=0.016


B.60x=1
60x/60=1/60
X=1/60=0.017

Answer:

hes wrong

Step-by-step explanation:

Find the product of the term 3ab

Answers

I it would be 3ab • 1 = 3ab

How do I figure out which statement is true?

Answers

Answer:

A. if table is extendedD. if only the values in the table considered.

Step-by-step explanation:

We can see on the graph of g(x) that y-intercept is (0, 2)

The table doesn't have the value for x = 0 but we can observe that it is exponential function and has the formula:

f(x) = 3^x

We can find its y-intercept:

f(0) = 3^0 = 1

We can compare and see that:

f(0) = 1 < g(0) = 2

So the function g(x) has a greater y-intercept. This is option A.

====

Note: If only the values in the table considered, then correct option is D.

Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.
What is the cost of 111 marker?

Answers

Answer:

$666

Step-by-step explanation:

6*111

= 666

Answer:

6

Step-by-step explanation:

YES

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