Answers
That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x is 10.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,
∠CFD + ∠DFE = 90°
6x + 3x = 90°
9x = 90°
x = 10
Hence, the value of x is 10.
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Related Questions
Jean-Paul incorrectly states that
4.2874 + 1.286 = 4.416.
His work is
shown below.
Explain Jean-Paul's
mistake and correct his work.
Please help due at 4:20
Answers
4.2874 (U add a zero if there is no number for that area)
1.2860
_____
5.5743 is the right answer :)
find the width of a rectangular prism if the volume is 165,000 mm3 the length is 100mm and the height is 55 mm
Answers
Answer:
Width is 30mm
Step-by-step explanation:
Volume = L×W×H
Volume= 165,000 mm³
Length= 100mm
Height= 55mm
Width= ?
L×H
100mm×55mm= 5500mm
volume ÷ L×W
165,000÷5500=30
width= 30mm
L×W×H=V
100×55×30=165000
A watering can contained 5 1/2 quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
A: 7 Cups
B: 18 Cups
C: 40 Cups
D: 84 Cups
Answers
Answer:
b:18 cups
Step-by-step explanation:
It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.
now when you take 4 cups away you have 18 cups left
WXYZ is a parallelogram. What is the angle DZW?
Answers
The correct angle measurement DZW = 55°
How to find the angle DZW?Note the following parameters
, m∠W = 125° and m∠Z = 55°
The measure of angle <DYZ is given as:
<DYZ = 125 ⁰
The opposite angles of a parallelogram are equal.
This means that, angles W and Y have equal measures
This implies that
<ZWZ = <DYZ
<XWZ=125
The adjacent angle of a parallelogram add up to 180 degrees.
This is to say that
<DXW = 180 - <DYZ
<DXW= 180-125
<DXW= 25
Angles X and Z are equal because they are opposite angles.
This is to say that
<Z = 55
Hence, the measure of angle DZW is 55⁰
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What is the axis of symmetry of h(x) = 6x2 − 60x 147? x = −5 x = −3 x = 3 x = 5
Answers
The function h(x) = 6x² - 60x + 147 is a quadratic function, and the axis of symmetry of the function is x = 5
How to determine the axis of symmetry?The equation of the function is given as:
h(x) = 6x² - 60x + 147
Differentiate the function
h'(x) = 12x - 60
Set the function to 0
12x - 60 = 0
Add 60 to both sides
12x = 60
Divide both sides by 12
x = 5
Hence, the axis of symmetry of the function is x = 5
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Answer:
X = 5 is correct
Step-by-step explanation:
just took the test on edge and got 100%
What is the amplitude of this equation? y = -10cos(5x)
Answers
Answer:
The amplitude is 10.
Answer:
the amplitude of this equation is 10
Step-by-step explanation:
I took extra mathematics in high school :)
I hope this helps you! Good luck !
In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. the sampling
method had a margin of error of +3.1%.
a) find the point estimate.
b) find the lower and upper limits and state the interval.
Answers
The point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
Point estimate = 22/74 = 0.2973 = 29.73%
Lower limit = point estimate - MOE = 29.73 - 3.1 = 26.63%
Upper limit = point estimate + MOE = 29.73 + 3.1 = 32.83%
Thus, the point estimate is 29.73% and the lower and upper limits are 26.63% and 32.83% respectively.
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A triangle has one side that is 7 cm long and the other side is 3cm long.
Help please
Answers
In any triangle, a side is longer than the difference between the other two. A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.
a = 7 cm. b = 3 cm.
Then c > 7-3 = 4 cm and also, c < 7+3 = 10 cm.
4 cm < the third side < 10 cm
А support wire 12 yards long is attached to the top of a utility pole 10
yards tall and is then stretched taut. To the nearest tenth of a yard, find
how far from the base of the pole wire will be attached from the ground.
Hint: Solve using this equation:
2
2
x² + 10² = 12²
Answers
Answer:
6.6 yd
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex] Substitute a= 10 and c=12
100+[tex]b^{2}[/tex]=144 Evaluate the Powers
[tex]b^{2}[/tex]=44 Subtract 100 on both sides.
b=[tex]\sqrt{44}[/tex] Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.
2
The area of a rectangle is given by the
expression 36cd + 90d. Which of the
following are possible dimensions for
the rectangle?
O A. 9 by 40 + 10d
O B. 36 by cd + 5d
O C. 6d by 6c + 15
OD. 18d by 2c + 5d
Answers
Answer:C
Step-by-step explanation:
6d(6c +15) = 36cd +90d
The graph relates the temperature change y (in degrees Fahrenheit) to the altitude change x (in thousands of feet). Altitude Change
Answers
Based on the relationship between the temperature and altitude change, the slope is -3.6 and the y-intercept is 59. The equation of the line is y = - 3.6x + 59.
What is the equation for this line on altitude change v. temperature change?First find the slope. This can be found by the formula:
= (Y₂ - Y₁) / (x₂ - x₁)
Two points on line:
(0, 59) and (7, 33.8)
Slope is:
= (33.8 - 59) / (7 - 0)
= -3.6
The y intercept is the point the line crosses the y axis which is 59.
The formula is:
y = mx + c
Where;
m = slope
c = y intercept
So the equation is:
y = -3.6x + 59
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Jen and her friends are designing a robot for a STEM competition. The goal of the competition is to have a robot complete an obstacle course in the least amount of time.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course. The director of the competition laid out components of the obstacle course on a coordinate plane. Instead of giving the width and maximum height of the arch, the director created an expression based on the location of the arch on the coordinate plane and gave each team this expression to represent the height of the arch, in inches, at any value of x along the arch:
-x^2 + 5x + 24.
Factor the expression, and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =___ and x =___
Answers
The x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
What is a factor of quadratic equation?The factor of a quadratic is the terms in linear form, which are when multiplied together, give the original quadratic equation as a result.
Jen and her friends need to consider the robot’s height and its width at its base. The robot must be short enough and narrow enough to navigate through several arches along the obstacle course.
The expression to represent the height of the arch, in inches, at any value of x along the arch:
[tex]-x^2 + 5x + 24.[/tex]
Factorize this expression by equating it to zero and changing its sign,
[tex]\begin{aligned}-x^2 + 5x + 24=0\\x^2 - 5x - 24=0\\x^2 - 8x +3x- 24=0\\x(x - 8)+3(x - 8)=0\\(x-8)(x+3)=0\\x=8,-3\end[/tex]
Thus, the x intercept of the equation is (8,0) and (-3,0)
Hence, the x-intercepts for the expression which is used by Jen and her friends to represent the height of the arch, in inches, at any value of x along the arch are 8,0) and (-3,0).
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Answer: x = 8,0 and x = -3,0
Step-by-step explanation:
3l of ice cream is 10$ 4l of ice cream is 12% which is the better choice
Answers
Answer:
4l of icecream
Step-by-step explanation:
10÷3=3.33
12÷4=3
Lines a and b are parallel. What is the measuee of angle S?
Answers
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.To find:
The angle of S, in degrees.∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
Find the surface area of the pyramid.
Answers
Answer:
319
Step-by-step explanation:
So, to find the surface area, first we find the base area, which is: 11 x 11 = 121
Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.
So,
b = 11
h = 9
1/2 x 11 x 9 = 49.5
The, we multiply by 4, the number of sides: 49.5 x 4 = 198
Then, we add the 2, values: 121 + 198,
Which gives us: 319.
Hope this helped!
Find the derivative of the function.
Answers
Answer:
b. 4x
Step-by-step explanation:
We can use the power rule for derivatives, which says [tex]\frac{d}{dx} x^n = nx^{n-1[/tex]
So, if [tex]f(x) = 2x^2 + 1[/tex]
then [tex]f'(x) = 4x[/tex].
The 1 goes away because the derivative of any constant is 0.
hope this helped!
Answer:
b. 4x
Step-by-step explanation:
We can use the power rule for derivatives, which says
So, if
then .
The 1 goes away because the derivative of any constant is 0.
Three figures exist such that abcd ≅ ghij and bcda ≅ rstu. if gh = 6 cm, hi = 8 cm, ij = 10 cm, and gj = 9 cm, what is ts? 6 cm 8 cm 9 cm 10 cm
Answers
The figures abcd, ghij and rstu are congruent figures, and the value of length ts is 8 cm
How to determine the length ts?The congruent statement is given as:
abcd ≅ ghij and bcda ≅ rstu
The above statement means that:
ts = dc = ij
From the question, we have:
ij = 10 cm
This means that
ts = 10 cm
Hence, the value of length ts is 8 cm
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Answer:
D: 10 cm
Worked for me on the "Congruent Figures" quiz on edge
Look at the following expression:
the fraction one half x 4 + 6 − 3
Where should a set of parentheses go in the expression to get a value of 2?
Group of answer choices
the fraction one half x (4 + 6) − 3
the fraction one half x 4 + (6 − 3)
( the fraction one half x 4) + 6 − 3
the fraction one half x (4 + 6 − 3)
Answers
Answer:
Option AStep-by-step explanation:
Verify the answer choices for the final value of 2.
A) the fraction one half x (4 + 6) − 31/2 × (4 + 6) - 3 = 1/2 × 10 - 3 = 5 - 3 = 2, correctB) the fraction one half x 4 + (6 − 3)1/2 × 4 + (6 - 3) = 2 + 3 = 5 ≠ 2, incorrectC) ( the fraction one half x 4) + 6 − 3(1/2 × 4) + 6 - 3 = 2 + 6 - 3 = 5 ≠ 2, incorrectD) the fraction one half x (4 + 6 − 3)1/2 × (4 + 6 - 3) = 1/2 × 7 = 7/2 = 3 1/2 ≠ 2, incorrectI’m too tired pls help I’ll mark brainlest
Answers
Answer:
B is the answer I thought it was C sorry
Option B is correct
1/2 = 2/4
A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?
The student has $1 bills and
(Type whole numbers.)
$5 bills.
Answers
Answer:
He has 8 five $5 bills and 9 $1 bills
Step-by-step explanation:
($5×8)+($1×9)=$49
same thing as last time i just need an answer don't take this down
Answers
Answer:
The answer is A.
Answer:
Step-by-step explanation:
Comment
The marks between numbers (there are 3 between each number) represent 0.25
Your point is nearly -6.
Go one backwards -6 + 0.25 = - 5.75
You have to be going toward the positive direction because -6 is smaller than -5.75
Answer: A
Please help I need help
Answers
Answer:
see photo attached for detailed analysis
Step-by-step explanation:An example of a(n) ___is 5, 12 and 13.
Answers
Answer:
Pythagorean triple
Step-by-step explanation:
This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).
. Given the number n, write an expression for:
(a) Twice the sum of n and 5
(b) The sum of twice n and 5
© Give a numerical example that shows these are not the same expression.
Answers
Answer:
a) 2(n + 5)
b) 2n + 5
Step-by-step explanation:
Writing an algebraic expression:
a) Sum of n and 5 ⇒ n + 5
Twice sum of n and 5 ⇒ 2*(n +5) = 2*n + 2*5
= 2n + 10
b) Twice n ⇒ 2*n = n
Sum of twice n and 5 ⇒ 2n + 5
SOMEONE HELP ME PLEASE IM STUCK ON THIS
Answers
Step-by-step explanation:
2×2×2×2
3 3 3 3
2×2×2×2
3×3×3×3
16
3×3×3×3 (divide)
= 16/81
hope it helpsss!!
can you mark me as the brainliest
Find the distance between the given parallel planes. 4x − 5y z = 16, 8x − 10y 2z = 2
Answers
The distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
What is a plane?
A plane is a flat surface on which a straight line joining any two points on it would wholly lie.
Given equations are
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
The distance between two planes is given by the formula:
[tex]D=\dfrac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}[/tex]
Here from equations
[tex]4x-5y+z=16[/tex]
[tex]8x-10y+2z=2[/tex]
We can also write the equation [tex]8x-10y+2z=2[/tex] as:
[tex]4x-5y+z=1[/tex]
So now the two equations are:
[tex]4x-5y+z=16[/tex]
[tex]4x-5y+z=1[/tex]
here a=4 b=-5 c =1 and d1=16 d2=1
Putting the values in the equation.
[tex]D=\dfrac{|-16+1|}{\sqrt{4^2+(-5)^2+(10^2)}}[/tex]
[tex]D=2.34[/tex]
Hence the distance between the two planes 4x-5y+z=16 and 8x-10y+2z=2 will be 2.34 units.
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How high is a weather balloon that is tied to the ground if it is secured by a 15m long rope and the angle between the rope and the ground is 35?
Answers
can someone pls help need this done by tomorrow
Answers
No, no lil one, you're going wrong.
1.a. Calculate the total surface area of the cube. 6(l^2) =144x6 = 864 sq. inch1.b. Calculate the volume of the cube. l^3 =12x12x12 = 1728 cu. inchSlove the rest by yourself
Remember:
Surface area of cuboid is 2(lb+bh+hl), where l is length, b is breadth and h is height. Volume of cuboid is lbh, where l, b, h mean the same as in 1.If three coins are thrown what is the probcbility Obtaining at least two head?
Answers
Answer:
2 head and 1 tail form my side
find the area of this parallelogram 13cm 15cm 20cm
Answers
Answer:
260cm²
Step-by-step explanation:
area of this parallelogram 20×13=260cm²
