Given: KLMN is a parallelogram m∠K : m∠KLM=1:3 LF ⊥ KN , LD ⊥ NM Find: m∠FLD

Answers

Answer 1

In a parallelogram, opposite angles are equal and since it is a quadrilateral, the angles add up to 360°

<NKL = <LMN = X
<KLM = <KNM = 3X
So, 2(x+3x) = 360°
80x = 360°
x = 45°
The figure LFND is another quadrilateral where:
<LFN = <NDL =90°
<FND = 3x

So, (90×2)+3x+ (angle FLD) = 360°
Angle FLD = 360° - 180° - (3×45)°
= 360° - 315°
= 45°

Answer 2

The measure of the angle m∠FLD is 45 degrees.

What is parallelogram?

A parallelogram is a special type of quadrilateral that has equal and parallel opposite sides. The given figure shows a parallelogram ABCD which as AB parallel to CD and AD parallel to BC.

In a parallelogram, opposite angles are equal and since it is a quadrilateral, the angles add up to 360°.

[tex]\rm \angle NKL = \angle LMN = X\\\\\angle KLM = \angle KNM = 3X\\\\ 2(x+3x) = 360\\\\ 80x = 360\\\\ x=\dfrac{360}{80}\\\\ x = 45[/tex]

The figure LFND is another quadrilateral where:

[tex]\rm \angle LFN = \angle NDL =90\\\\ \angle FND = 3x[/tex]

The measure of the, m∠FLD is;

[tex]\rm (90\times 2)+3x+ (angle\ FLD) = 360\\\\m \angle\ FLD = 360- 180- (3\times 45)\\\\ m \angle\ FLD = 360 - 315\\\\ m \angle\ FLD = 45[/tex]

Hence, the measure of the angle m∠FLD is 45 degrees.

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Related Questions

Solve the system of equations -4x + 3y = -2 y = x - 1

Answers

You can use the substitution method.
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)

The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.

What is the solution to the system of equations?

Given the system of equations in the question:

-4x + 3y = -2

y = x - 1

Solve the system of equations by substituting the expression for y from the second equation into the first equation:

-4x + 3y = -2

Plug in y = x - 1:

-4x + 3( x - 1 ) = -2

Simplifying, we get:

-4x + 3x - 3 = -2

Solve for x:

-x = -2 + 3

-x = 1

x = -1

Now, plug x = -1 into equation 2 and solve for y:

y = x - 1

y = -1 - 1

y = -2

Therefore, the solution is x = -1 and y = -2.

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Write a quadratic equation whose solutions are 2i and -2i.

Answers

are there any answer choices

Answer:

answer= 2i

Step-by-step explanation:

Which answer best describes the shape of this distribution?

Answers

skewed to the left
i believe im am not 100% sure tho

Please help due tomorrow! Math

Answers

The seats in the theater follows the sequence given by:
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5

please help asap 48 pts

Answers

The correct answer is B.

The correct answer is B

-2y multiplied by -2y = 4y^2
3x Times 5x = 15x^2
3x Times -2y = -6xy
-2y times 5x = -10xy
-6xy plus -10xy = -16xy

the bottle of water contains 32 fluid ounces of water. How many cups of water are in a bottle.

Answers

There are 8 fluid ounces in a cup.

Divide 32 by 8 = 4.

There are 4 cups of water in a bottle.

There are 4 cups of water in a bottle containing 32 fluid ounces.

We have,

The number of cups in a bottle of water depends on the conversion rate from fluid ounces to cups.

1 cup is equivalent to 8 fluid ounces.

To find the number of cups in a bottle containing 32 fluid ounces of water, we can divide the total number of fluid ounces by the conversion rate:

So,

= 32 fluid ounces / 8 fluid ounces per cup

= 4 cups

Therefore,

There are 4 cups of water in a bottle containing 32 fluid ounces.

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A helicopter hovers 950 over......

Answers

Okay, so here's the equation:
tan 44 = d/950
0.01770469927 (I used a calculator to solve tan 44, so let's just use to the nearest hundredth)
0.02 = d/950
100d = 1900
isolate d:
d = 19
19 feet

Comment
You have to assume that P is on the coast.
You also have to assume that d and the horizontal dotted line defining the 46 degrees are parallel.

Givens
The angle of depression = 46 degrees
The height of the helicopter = 950 feet.

Formula
height helicopter / d = Tan(46)

The thing is that the angle of elevation from P forms an angle with the angle of depression that made 2 alternate interior angles which are equal when two parallel lines and a traversal are given.

The line connecting P and the helicopter is the traversal.

Solution
height of helicopter = 950
d = ??
angle = 46o

Tan(46) = 950/d
d = 950 / tan(46)
d = 950 / 1.03553
d = 917 feet from the island to P <<<<<< answer

Which equation is NOT true?

A. 15x + 55 = 6x + 4x

B. 15x + 55 = 26x

C. 25x + 55 = 180

D. m ∠S = 6x + 4x

Answers

Answer:

Step-by-step explanation:

Answer:

A. 15x + 55 = 6x + 4x

Step-by-step explanation:

Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.

For bananas are to be selected from a group of seven in how many ways can this be done

Answers

Seven ways since there are 7 bananas but you said for

Consider the following graph of a piecewise-defined function.

When x<-2, f(x)=

A: -3
B: 5
C: 2

When -2
A: x+2
B: 2x+2
C: 2x

When x>3, f(x)=

A: -3
B: 5
C: 2

Answers

From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: A: -3

Answer:

When x<-2, f(x) = 5

When -2<x<3, f(x)= 2x+2

When x>3, f(x)= -3

Step-by-step explanation:

Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?

Answers

You need to calculate 12% of 800.

To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)

12% of 800 =

= 12% * 800

= 0.12 * 800

= 96

Answer: 96 students

A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

The total weight of the container is given by:
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³

weight per cubic volume=0.33 pound per cubic ft

Total weight=354.375×0.33=116.94375 pounds~117 pounds

The weight of the contents in the container, to the nearest pound, is 117 pounds.

To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.

Step 1: Calculate the volume of the container.

Volume = length × width × height

Volume = 13.5 ft × 10.5 ft × 2.5 ft

Volume = 354.375 cubic feet

Step 2: Calculate the weight of the contents.

Weight = Volume × Weight per cubic foot

Weight = 354.375 cubic feet × 0.33 pounds per cubic foot

Weight ≈ 116.8725 pounds

Rounded to the nearest pound, the weight of the contents is 117 pounds.

First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.

Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.

Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.

Complete question:

I really need this answer to be correct

Answers

it is unchanged because the same number would still be in the middle and there would still be the same amount of numbers

if
11,15,21,22,23,27,30 before 22 is the median

if
11,15,21,22,23,27,30 after 22 is still the median

The median is unchanged

Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided

Answers

Using the law of the sine, we have the following relationship:
Sine (A) / a = Sine (B) / b
Substituting values we have:
Sine (23) / 5 = Sine (B) / 11
Clearing we have:
(Sine (23) / 5) * (11) = Sine (B)
B = Asine ((Sine (23) / 5) * (11))
B = 59.27 degrees
Rounding off we have:
B = 59.3 degrees
Answer:
C. 59.3 °

Select ALL the expressions that are equivalent to the polynomial below.
(4x+5)(-3x-1)
(-16x^2 + 10x - 3) + (4x^2 - 29x - 2)
3(x - 5) - 2(6x^2 + 9x + 5)
2(x - 1) - 3(4x^2 + 7x + 1)
(2x^2 - 11x - 9) - (14x^2 + 8x - 4)
(-15x^2 + 9x - 10) + (3x^2 - 10x - 5)
(4x^2 - 13x - 7) - (16x^2 + 9x - 5)

Answers

For this case we have the following polynomial:
(4x + 5) (- 3x-1)
Rewriting we have:
-12x ^ 2 - 4x - 15x - 5
-12x ^ 2 - 19x - 5
The equivalent polynomials for this case are given by:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
Answer:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)

answers would be A D C

The Nichols family consists of 8 children and 2 adults. The family minivan can safely transport a total of 7 family members, including an adult driver.

Which number line illustrates the capacity of the Nichols minivan as an inequality?

Answers

For this case, the first thing we must do is define a variable:
x: number of people who will use the family minivan.
We have then:
"The family minivan can safely transport a total of 7 family members, including an adult driver":
x <= 7
Answer:
x <= 7
A number line that illustrates the capacity of the Nichols minivan as an inequality is:
option C)

Find the domain of the function :

Can you show the steps

Answers

a rational function must not have a denominator of 0, since that means the divisor is a 0 and there's no number whatsoever you can multiply it with 0 to get the dividend, the short version of all that is, the fraction is "undefined".

a domain for a rational is any values of "x" that are safe, namely will not make the denominator undefined, there are a few other constraints, but this is the only one in this case.

so, what values "x" cannot take on safely? well, we can find out what makes the denominator to 0, by simply, yeap, you guessed it, zeroing it out, let's do so,

[tex]\bf 5x+2=0\implies 5x=-2\implies x=-\cfrac{2}{5}[/tex]

so, if ever "x" becomes -2/5, our handy dandy fraction will go poof.

so the domain is all real numbers for "x", EXCEPT -2/5, or in Set Builder notation, {x | x ∈ ℝ; x ≠ -⅖}

15 is 10 % of what number

Answers

15*10=150

15 is 10% of 150

What is the value of x

Answers

For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
[tex]x / 15 = 5/12 [/tex]
Clearing x we have:
[tex]x = (5/12) * (15) x = 6.25[/tex]
Answer:
The value of x is given by:
x = 6.25

Which ordered pair is a solution of y = x + 12?
(24, 12)

(9, 21)

(–12, –24)

(0, –12)

Answers

the answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.

The (24,12) because 12 + 12 = 24

The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?

Answers

Answer:

Step-by-step explanation:

doing the test right now

I need help

Simplify 4z2 + z2 + 6a.

4z2 + 7a

5z2 + 6a

3z2 + 6a

11az2

Answers

5z^2 + 6a

This is because there is an imaginary 1 in front of the second term that you have to remember to use when combining like terms.

Item 11 Solve y=4x+8x for x.

Answers

Final answer:

To solve the equation y = 4x + 8x for x, isolate x by combining like terms on the right side and dividing both sides by 12. The solution is x = y/12.

Explanation:

To solve the equation y = 4x + 8x for x, we need to isolate x on one side of the equation.

We can start by combining the like terms on the right side:

12x = y

To find the value of x, divide both sides of the equation by 12:

x = y/12

So the solution to the equation is x = y/12.

Final answer:

To solve the equation y = 4x + 8x for x, combine like terms to get y = 12x and then divide both sides by 12 to find x = y/12.

Explanation:

The student's question requires us to solve the given equation for x. The original equation provided is y = 4x + 8x. To solve for x, we first combine like terms on the right side of the equation.

Combine like terms: y = 4x + 8x becomes y = 12x.Divide both sides of the equation by 12 to isolate x: x = y/12.

The solution for x is x = y/12. This is a straightforward algebraic manipulation that involves combining like terms and using division to solve for the unknown variable.

If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?

Answers

x = smaller number
y = bigger number

y = 3x

x+y = 20
x+3x = 20
4x = 20
x = 5

The smaller number is 5.

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 160 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____ feet per second.

Answers

The Average rate of change of f(t) from t = 3 seconds to t = 5 seconds is - [tex]v_{avg} = -80\;ft/s[/tex]

We have a equation -

[tex]f(t) = -16t^{2} +48t+160[/tex]

that calculates the height of the ball from sea level in feet at different times.

We have to find the average rate of change of f(t) from t = 3 seconds to t = 5 seconds.

What is Average velocity?

The rate of change of displacement per unit time is called average velocity. Mathematically -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

We have -

[tex]f(t) = -16t^{2} +48t+160[/tex]

For time t = 3 seconds, f(t) is -

[tex]f(3) = -16(3)^{2} + 48(3) + 160\\f(3) = -144 +144 +160\\f(3) = 160\; feets\\[/tex]

For time t = 5 seconds, f(t) is -

[tex]f(5) = -16(5)^{2} + 48(5) + 160\\f(5) = -400+240+160\\f(5) = -400 + 400\\f(5) = 0 feet[/tex]

The formula for average velocity is -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

According to question -

[tex]t_{2} = 5s[/tex] and [tex]t_{1} = 3s[/tex]

[tex]d_{2} = f(5) = 0 feet[/tex] and [tex]d_{1} = f(3)=160[/tex]

Substituting the values in the formula of average velocity, we get -

[tex]v_{avg} = \frac{0 - 160}{5 - 3} \\v_{avg} = \frac{-160}{2\\} \\v_{avg} = -80\;ft/s[/tex]

Hence, average rate of change of f(t) from t = 3 seconds to t = 5 seconds is [tex]v_{avg} = -80\;ft/s[/tex].

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Sin (2x -9)= Cos (x +30) to solve for x

Answers

A graphing calculator shows four (4) zeros of
f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°

Solutions are x ∈ {23°, 129°, 143°, 263°).

_____
You can make use of a couple of trig identities to rearrange this equation.
cos(x) = sin(x+90°)
sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
(3x +111°)/2 = n*180° +90°
3x -69° = n*360°
x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
(x -129°)/2 = n*180°
x = 129° +n*360° . . . . . for any integer n

Combined, these solutions give the ones listed above in the range 0..360°.

What is the y-intercept of the line whose equation is y = x - 3?

Answers

Answer:

-3

Hope this helps! Please mark as brainliest.

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Answers

rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]

[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]

Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2

Answers

[tex]Use:\\\log_ax+\log_ay=\log_a(xy)\\\\\log_ax-\log_ay=\log_a\dfrac{x}{y}\\\\\log_ax^n=n\cdot\log_ax[/tex]

[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]

[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]

Answer:

Step-by-step explanation:

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Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°

Answers

The angles should measure 180º.

5° + 75°+ 100° = 180°

10°+ 80°+ 90° = 180°

20° + 60° + 100° = 180°

45° + 45° + 45° = 135°

50° + 50° + 80° = 180°

So D does not represent interior angle measures of a triangle.

Hope this Helps!!

Other Questions

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