Answers
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.
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
write the following decimals in the form of p\ q= 0 and p,q are con-primes 1) 15.265
Answers
Given:
The decimal number is 15.265.
To find:
The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.
Solution:
Let the decimal number be [tex]x=15.265[/tex].
It can be rewritten as
[tex]x=15.265\times \dfrac{1000}{1000}[/tex]
[tex]x=\dfrac{15265}{1000}[/tex]
[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]
Cancel out the common factors.
[tex]x=\dfrac{3053}{200}[/tex]
Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.
Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].
find the area of the figure
Answers
Will give brainliest to correct! “Write the equation of the line.”
Answers
Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept
Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?
Answers
Correct question is:
stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool
Answer:
$25.25
Step-by-step explanation:
The cost of the tool has been given as $35.
The price of this tool is then reduced by 5%.
When we apply this reduction to initial price
= 35 * 5%
= 35x0.05
= $33.25
If a coupon of 8 dollars is applied
The price to be paid for the tool will be
$33.25 - $8.00
= $25.25
Stu is going to pay $25.25 for the tool
If
f(x) = x^2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = ?
Answers
Answer;
f (x) = 2x-4g (x) =x^2
Step-by-step explanation:
The solution is 9x² + 12x - 1
The composition function f ( g ( x ) ) is 9x² + 12x - 1
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
The value of f ( x ) = x² + 2x - 4
Let the second function be represented g ( x )
The value of g ( x ) = 3x + 1
Now , the composition function f ( g ( x ) ) is calculated by
Substitute the value of x as 3x + 1 , in f ( x ) , we get
f ( g ( x ) ) = f ( 3x + 1 )
f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4
On simplifying the equation , we get
f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4
f ( 3x + 1 ) = 9x² + 12x - 1
Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1
Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1
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[
1
What is the distance between the points (-4, -8) and (10,-8)?
Need help
Answers
Answer:
2
Step-by-step explanation:
√(-8-8)^2 +(10+4)^2=
✓-32+28
✓4
=2
f(x) = -2x4 + 2x2 + 3
Answers
Answer:
Step-by-step explanation:
Sry, I didnt not get the answer. But,
www.berkeleycitycollege.edu › ...PDF
Web results
Maximum and Minimum Definition: Definition: Let f be defined in an interval ...
Search in this link u will get it
Rhonda planted green beans on 67% of her farm. Rhonda's farm has 598 acres of land. Estimate the number of acres of green beans on Rhonda's farm.
Answers
Answer: 400 acres.
Step-by-step explanation:
We know that 598 is very close to 600, so we can round that amount up.
We also know that 67% is very close to [tex]\frac{2}{3}[/tex] because 2÷3≈0.67 & 67%=0.67
So, we can estimate [tex]\frac{2}{3}[/tex] of 600, which is about 400.
Find the product of (x + 5)(x − 5). Group of answer choices x2 − 10x + 25 x2 + 10x + 25 x2 − 25 x2 + 25
Answers
First I will tell you the formula for this, then I will show how we got the formula, then the answer.
Formula -> (x+a)(x-a)=x^2-a^2
We can find this by expanding the 2 ( )
(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2
Now we can use this to solve your problem, the 5 is the a in the formula.
(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answers
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)
Answers
Answer:
y=245 * 1.035^t $487.50
Step-by-step explanation:
y=245*1.035^20
y=245*1.9898
y=487.49827
I’m not sure how to answer this pls help
6.1 x 1.9 + 3.7
Answers
The answer is 15.39.
Answer: 15.29
Step-by-step explanation: Simplify
Can someone pls help me with this?? I’m in a rush it’s due at 11:59 pm..pls help! And show work pls and thx
Answers
Answer:
D. 4.5
Step-by-step explanation:
<3
Answer:the answer will be D)4.5
Step-by-step explanation:
12x + 15y = 9
−12x − 18y = −6
HELP JUST SOLVE IT
Answers
Point Form:
(2, -1)
Equation Form:
x= 2, y= -1
Answer:
x = 2, y = -1
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
12x+15y=9,−12x−18y=−6
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
12x+15y=9
Subtract 15y from both sides of the equation.
12x=−15y+9
Divide both sides by 12.
x= 1/12 (−15y+9)
Multiply 1/12 times −15y+9.
x = -5/4y+3/4
Substitute -5y+3/4 for x in te other equation, -12x - 18y = -6
-12 ( -5/4y+3/4) -18y = -6
Multiply −12 times -5y +3/4
15y−9−18y=−6
Add 15y to −18y.
−3y−9=−6
Add 9 to both sides of the equation.
−3y=3
Divide both sides by −3.
y=−1
Substitute −1 for y in x= -5/4y+3/4. Because the resulting equation contains only one variable, you can solve for x directly.
x= -5/4(-1)+3/4
Multiply -5/4 times -1.
x = 5+3/4
Add 3/4 to 5/4 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x=2
The system is solved.
what are all the sums and differences of 3/4?
Answers
Answer:
1/2 + 2/4
11/12 - 1/6
3/5 + 3/20
7/8 - 1/2
Step-by-step explanation:
A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.
Which function best models the linear relationship?
y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000
Answers
Answer:
Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x
The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.
Now we have y = 22,000x + 40,000
HELP I NEED HELP ASAP
The function f(t)=1,500,000(0.885)^t models the population of a small country after t years. Which statement is true?
A. The population is growing at a rate of 88.5%
B. The population is declining at a rate of 11.5%
C. The population is declining at a rate of 88.5%
D. The population is growing at a rate of 11.5%
Answers
Answer:
B. The population is declining at a rate of 11.5%
Step-by-step explanation:
if your graph the equation you will clearly see that it is declining and if you don't know how to graph the equation then go to the demos calculator, its an app & website, super easy to use. most people would assume the answer would be one of the 88.5% just because it's in the original equation but the .885 in the equation doesn't represent the rate of change there for the answer is 11.5%.
Alex created a map of his neighborhood using a scale of 1 inch = 2 blocks. If his street is 6 blocks long, how long will it be on the map?
a ) 12 inches
b ) 3 inches
c ) 6 inches
d ) 2 inches
Answers
hii! please help. i’ll give brainliest if you give a correct answer thanks!
Answers
Answer:±
5 ÷9/10,4/5 ÷3/7Ф
Step-by-step explanation:≠
I hope this help if it´m wrong I´m so sorry but i´m sure its right tho≤≥
#Hope have nice day<3Δ~Regards~⇔-44014137⊄⊅Please answer the photo.
Answers
Answer:
the answer i think is C. AB
i need help. what do i do and how do I solve this?
Answers
x = -11.6
-(-11.6) + 1.2 = 12.8
Isolate the variable by dividing each side by factors that don’t contain the variable.
X= -11.6
Step-by-step explanation:
Step 1 - Subtract 1.2 from both sides.
-x + 1.2 - 1.2 = 12.8- 1.2
-x = 11.6
Step 2: Divide both sides by -1.
-x 11.6
__ __
-1 -1
If u don’t understand try searching up (solving variables on both sides calculator) It gives steps : )
PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
A.2 bags
B.3 bags
C.4 bags
D.5 bags
Answers
Answer:
A. 2 bags
Step-by-step explanation:
12x5=60
60 divided by 2 = 30
30 divided by 15 equals 2 bags
Please tell me if this is correct or incorrect
Hope this helps
Step-by-step explanation:
what are the dimensions of the flower bed
otherwise you can solve it by 151515/area of the flower bed
Which statement is true?
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
Option B
Brainly plz :))
what is one astronomical unit in inches
Answers
Answer:
5.89E+12
Step-by-step explanation:
Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).
Answers
Answer:
< 40, 28, 72 >
Step-by-step explanation:
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >
What is the solution to the equation sqrt 2x+3 minus sqrt x+2=2? x =
Answers
Answer:
x= 1/4 or 0.25
Answer:
23
Step-by-step explanation:
on edg
Evaluate the formula for distance to solve the problem. Then use the drop-down menus to complete the statements.
Distance = rate times time
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
First, write the
.
Next, use parentheses when you substitute
in for r and
in for t.
Now, simplify by
125 and 3.2.
Jeff raced for a distance of
miles.
Answers
Answer:
First, write the
✔ formula: d = rt
.
Next, use parentheses when you substitute
✔ 125
in for r and
✔ 3.2
in for t.
Now, simplify by
✔ multiplying
125 and 3.2.
Jeff raced for a distance of
✔ 400
miles.
Step-by-step explanation:
1×2×3×4×5×6×7×8×9×10=
Answers
Answer:
just use a calc
Step-by-step explanation:
Cual es el 5% de 80?
Answers
.05*80=4
558 cups of water fill 412 identical water bottles. How many cups fill each bottle ?
Answers
Answer:
5/4 cups fill each bottle
Step-by-step explanation:
5 5/8=45/8
4 1/2=9/2
Step by Step:
------------------
(45/8)/(9/2)
(45/8)(2/9)
(45/4)(1/9)
45/36
5/4
