Answers
There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.
Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.
x + 6 + 3x - 4 = 90
Add the x's.
4x + 6 - 4 = 90
Combine the 6 and 4.
4x + 2 = 90
Subtract the two on both sides.
4x = 88
Finally, divide by 4.
x = 22
But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)
22 + 6 is the new equation.
22 + 6 = 28
Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because
62 + 28 = 90
I hope this answers your question.
-Toremi
Related Questions
Someone help me please
Answers
9 was the wrong answer what is the real answer to this problem
Answers
Answer:
Step-by-step explanation:
First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.
V= 3 x (3 squared) 9 x 14
V of Cylinder = 378 cm^3
V of Cone use the formula given,
V = [tex]\frac{3*9*5}{3}[/tex]
V = 45 cm^3
Add them together and you get 423 cm^3
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answers
Answer:
What's the complex name
Pd(co2) (me3p)2
The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?
Answers
Answer:
7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th
Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
Answers
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
y
y
x
x
It's a line with one side shaded to indicate which
x
xx-
y
yy pairs are solutions to the inequality.
In this case, we can see that the origin
(
0
,
0
)
(0,0)left parenthesis, 0, comma, 0, right parenthesis is a solution because it is in the shaded part, but the point
(
4
,
4
)
(4,4)left parenthesis, 4, comma, 4, right parenthesis is not a solution because it is outside of the shaded part.
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
Answers
Because if you times 22 by five, it will be 110 & 50 times it by 3 will be 150 & 17 times it by 6 will be 102
So 110+150+102=162
& he bought 14 things in total
So 162 divided by 14 is 25.86
Question 2 Which relationship is NOT a function?
Answers
Answer:
Top left optionStep-by-step explanation:
According to definition of the function, each input must have exactly one output.
One of the given relationships - T-shirt prices reveals two outputs.
All the rest show one-to-one relationship.
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answers
Answer:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
The additional information to prove that ΔXYZ ≅ ΔFEG using ASA or AAS
is ∠Z ≅ ∠G and XY ≅ FE
Option E is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔXYZ ≅ ΔFEG
We see that,
∠X and ∠F are equal
To prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
We need one more congruent angle and one corresponding side.
∠Z ≅ ∠G and XY ≅ FE can be used to prove this.
Now,
∠X = ∠F (angle) (given)
∠Z ≅ ∠G (angle)
XY ≅ FE (side)
ΔXYZ ≅ ΔFEG
Thus,
The additional information is:
∠Z ≅ ∠G and XY ≅ FE
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bro i need help with this 8th grade math work
Answers
Answer:
look it up
Step-by-step explanation:
The solution of system of equations is (3.5, 3.5).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)
6x+4-8=4x+10
6x-4=4x+10
6x-4x=10+4
2x=14
x=7
Therefore, the value of x is 7.
3) y=3x-7 -------(i) and -y=x-7 -------(ii)
Substitute equation (i) in equation (ii), we get
-(3x-7)=x-7
-3x+7=x-7
x+3x=7+7
4x=14
x=14/4
x=3.5
Substitute x=3.5 in equation (i), we get
y=3×3.5-7
y=10.5-7
y=3.5
So, the solution is (3.5, 3.5)
4) Production of chairs from Anthony
(2, 10) and (5, 25)
Here, m=(25-10)/(5-2)
= 15/3
= 5
Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get
10=5(2)+c
c=0
Substitute m=5 and c=0 in y=mx+c, we get y=5x
Production of chairs from Billy
(1, 2) and (4, 8)
Here, m=(8-2)/(4-1)
= 6/3
= 2
Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get
2=2(1)+c
c=0
Substitute m=2 and c=0 in y=mx+c, we get y=2x
When y=18
Production of chairs from Billy 18=5x
x=3.6
When y=18
Production of chairs from Anthony
18=2x
x=9
Therefore, the solution of system of equations is (3.5, 3.5).
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Where is the blue dot on the number line?
Answers
Answer:
-2.1
Step-by-step explanation:
its a 0.1 step.
hope you understand
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answers
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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Flynn has $4 worth of quarters.
How many quarters does Flynn have?
4 quarters
16 quarters
40 quarters
80 quarters
Answers
Answer:
16 quarters
Step-by-step explanation:
4 x 4 = 16
$1 = 4 quarter
Flynn has 16 quarters.
Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answers
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many marbles are in the bag?
Answers
The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
The number of marbles in the bag?The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
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The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answers
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answers
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answers
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
The problem is on the screenshot
Answers
Answer:
x=1 y=4
x=2 y=7
x=3 y=10
Step-by-step explanation:
To find the answer, you have to plug in the x-value for the equation to find y.
You will then find out that every time x increases by 1, y increases by 3.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Set 1: 6
Set 2: 4.5
Step-by-step explanation:
To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.
Repeat this process for set b. For this one you would get 4.5
the diagram shows the cross-section of a wall of a cinema.
Answers
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answers
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.
Answers
V = (10 amperes • 14 ohms)
V = 140 volts
The voltage difference for an outlet will be 140 volts.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For an outlet,
Current (I) = 10 ampere
Resistance (R) = 14 ohms
Now,
Since, We know that;
The current is the ratio of the potential difference and resistance.
That is,
⇒ I = V / R
⇒ V = I R
Thus, Substitute all the values, we get;
⇒ V = I R
⇒ V = 10 x 14
⇒ V = 140 Volts
Therefore, The voltage difference for an outlet will be 140 volts.
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Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?
Answers
Answer:
Late because 12 were on time so 5 would be late
What does 48906478×78955680 equal to
Answers
Answer:
3861444226895040
Step-by-step explanation:
You do not want to know.
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Answers
Not sure about Angle. 13
9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?
Answers
The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.
When the coolers would have the same amount of water?Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
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Select the reason that best supports Statement 6 in the given proof.
Answers
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
A game at the fair involves ping-pong balls numbered 1 to 18. you can win a prize if you correctly choose the 5 numbers that are randomly drawn. what are your chances of winning?
Answers
Answer:
5/18
Step-by-step explanation:
Here,
total numbering balls n(S) = 18
total number of winning balls n(B) = 5
Therefore,
Probability or winning chances P(B)=
n(B)/n(S)
= 5/18
The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.
Answers
Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
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2(3/5x+3). How would I get that answer
Answers
Answer: [tex]\frac{6}{5}[/tex]x + 6
Step-by-step explanation:
We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.
Given:
2(3/5x+3)
Distribute:
2 * (3/5x) + (2 * 3)
6/5x + 6
Answer:
[tex]\frac{6}{5}[/tex]x + 6