what value of x is quadrilateral CDEF a parallelogram

What Value Of X Is Quadrilateral CDEF A Parallelogram

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

CDEF is a parallelogram.

CE and FD are its diagonals.

Diagonals of a parallelogram bisects each other.

Therefore,

10x - 5 = 4x + 7

10x - 4x = 7 + 5

6x = 12

x = 12/6

x = 2

Thus, for x = 2, CDEF is a parallelogram.

Answer 2

In the quadrilateral CDEF, the value of x is 2.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Quadrilateral CDEF is a parallelogram.

Here, CE and FD are its diagonals.

We know that;

Diagonals of a parallelogram bisects each other.

Therefore, We can formulate;

⇒ 4x + 7 = 10x - 5

Solve for x as;

⇒ 7 + 5 = 10x - 4x

⇒ 12 = 6x

⇒ x = 12/6

⇒ x = 2

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Related Questions

The distance between boston and chicago on a map is 9 inches. If the scale of the map is 1 inch : 95 miles, what is the actual distance from boston to chicago

Answers

95 x 9 = 855 miles from Boston to chicago answer is 855.

21.6/12x = 34.2 does anyone know how to do this?

Answers

Answer:

x = 32.6

Step-by-step explanation:

Please share the instructions:  "Find the value of x ... "  Also, indicate whether x is in the numerator or denominator.

If in the numerator, then we have (12.6/12)x = 34.2.

Multipying both sides by (12/12.6) yields 34.2(12/12.6), or x = 32.6

You select a marble at random and then put it back. If you do this eight times, what is the best prediction possible for the number of times you will pick a red marble?

Answers

Answer:

1/8

Step-by-step explanation:

Find the measure of the missing angle.

Answers

A box indicates a 90° angle.

So to find m<a, we can setup the equation 41 + a = 90.

Now subtract 41 from both sides to get a = 49.

If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?

Answers

Answer:

51 degrees

Step-by-step explanation:=Given data

Temperature at 6pm = 60 degrees

percent drop= 15%

= 15/100*60

=0.15*60

=9 degrees

Hence the temperature at 10 pm is 60-9= 51 degrees

2a+3b=5
b=a-5 help please

Answers

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

if there are 10 birds for 4 dogs,what is the ratio of birds to dogs?

Answers

Answer:

10:4 ( Answer )

I hope it helps you

Please help me id you want BRIANLEIST!!! :)) ty!!!

Answers

Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

Alek gives 18 flowers to each person at his office, There are 42 people at his office. How many flowers does alek give away?

Answers

Answer:

he gives away 756 flowers

Step-by-step explanation:

18*42=756

I’m confused rn bc I’m tired so can I get help?

Answers

Answer:

i can't see the question enough or the answer choices

Step-by-step explanation:

make a new question or put in the comments

Answer:

Not sure if it helps, But anyways heres what i got!! Lol

Step-by-step explanation:

On a map, you trace your route and come to a fork in the road. Two diverging roads split from a common point and form an angle. The point at which the roads diverge is the vertex. An angle separates the area around it, known in geometry as a plane, into two regions. The points inside the angle lie in the interior region of the angle, and the points outside the angle lie in the exterior region of the angle.

Once you get to know the types of angles and how to measure and create your own, you’ll have picked up valuable geometry skills that will help you prove even the most complex geometric puzzles.

5. What are the values of x and y?
O x=2sqrt3 y=4
O x=8sqrt7 y=4sqrt21
O x=8sqrt3 y=8sqrt3
O x=4sqrt21 y=8sqrt7​

Answers

Answer:

x= 90 degree

y= 43 degree

Step-by-step explanation:

We have been given an isosceles triangle being two sides equal AB and AC

By the property of isosceles triangle

The sides which are equal will have same base angle

Hence, ∠ABC=∠ACB=

We know that sum of angles of triangle is  

∠ABC+ ∠ACB+∠BAC=      (1)

Since, ∠BAC is the bisector so, ∠BAD and ∠DAC are equal which is  

Now, substituting the values in (1) we get:

Now, we will consider ΔABD to find x

,∠ADB=∠ABD=

Now, Apply the sum of angles of triangle is  we get:

Answer:

x = 8[tex]\sqrt{7}[/tex]

y = 4[tex]\sqrt{21}[/tex]

Step-by-step explanation:

use the altitude rule to find the height of the triangle first

12/h = h/16

h² = 12x16

h = [tex]\sqrt{192}[/tex]

h = [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

now you can use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 12 to find 'y'; which comes out to be [tex]\sqrt{336}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{21}[/tex]

then use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 16 to find 'x'; which comes out to be [tex]\sqrt{448}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{7}[/tex]

What is 2/3 divided by 6/12? REDUCE ANSWER TO SIMPLEST FORM. please help mark you brainiest!!!

Answers

Answer:

4/3 or 1.34

Step-by-step explanation:

2/3 ÷ 6/12

= 2/3 × 12/6

= 4/3 or 1.34

A jogger is running with an initial speed of 5 m/s. The jogger then sprints to the finish line, increasing their speed to 10 m/s over 5 seconds. What is the jogger's acceleration in m/s squared?

Answers

Answer:

Step-by-step explanation:

1 m/s square

f(x)=3? What is the input value

Answers

Answer: (The explanation is in the image)

You might need to zoom in on it to see

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

I need help how to get the answer please help!

Answers

Answer:

w=10

Step-by-step explanation:

You would have to set 5w-4=46.

5w-4=46

Add 4 to both sides

5w=50

Divide both sides by 5

w=10

Answer:

W=10

Step-by-step explanation:

5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there

CAN SOMEONE ANSWER PLEASEEEEEE I SUCK AT MATH

Answers

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2

Given the expression below, identify its factors.

3a + 4b– 7c - 12

Answers

Answer:

i dont think you can solve this because  

The expression is not factorable with rational numbers.

there are no like terms

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

Answers

11 divided among the 5
2 and 1/5
Or 2.2

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

Pensé un número, a ese
número le sumé 15 y
obtuve como resultado 27.
¿Cuál es el número que
pensé​

Answers

Answer:

si es suma tiene que ser 12+15=27

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

Mark it as brainlist answer

Step-by-step explanation:

Help am i correct please Ehejahrs

Answers

I think sooooooo if not I’m very sorry

Is the relation below a function?
-3
-1
-1
3
у
0
1
2
3

Answers

Answer:

I believe it would be "y"

Step-by-step explanation:

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Answer:

I would say no!

Step-by-step explanation:

cause we cannot determine the rule of mapping so y is no an image of x

What statement is true for life insurance coverage?
O A. The policy only covers beneficiary's future needs, funeral costs should not be included in the
policy amount
B. Debt is forgiven at death, so insurance policies do not need to cover this cost.
O
C Life insurance policy amounts should factor in how much it would take to maintain the standard
of living for the beneficiaries
D. Generally speaking, $10,000 is the recommended amount for a life insurance policy

Answers

Answer:

C: Life insurance policy amounts should factor in how much it would take to maintain the standard  of living for the beneficiaries

Step-by-step explanation:

The statement is true for life insurance coverage

Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.

What is Life insurance coverage?

A contract between an insurance policy holder and an insurance company in which the insurer agrees to pay a quantity of money in exchange for a premium upon the demise of an insured person or after a specific amount of time is known as life insurance.

In order to provide a death benefit in exchange for paying premiums, life insurance functions. One common kind of life insurance, called term life insurance, only lasts for a predetermined period, such 10 or 20 years. Although the death benefit of permanent life insurance likewise lasts during the policyholder's lifetime as long as premiums are paid, it does not.

Thus, the true statement is

Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.

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PLZ help me i will give u many points

Answers

Answer:

im pretty sure its the last one

Step-by-step explanation:

Answer:

be

Step-by-step explanation:

Use 50° as the reference angle to find the value Opposite: 50° Adjacent: Hypotenuse 7 12 90° 40° 9 Tt o​

Answers

50* also goodluck :)))

w is directly proportional to u if w=5 when u=3,find u when w is =2/7​

Answers

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

Five decreased by twice a number

Answers

Answer:

5-2x

Step-by-step explanation:

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