Answer:
x = 21
Step-by-step explanation:
By the corresponding angle theorem, we can find that the measure of the smaller angle made by transversal and m is 54°.
Using the vertical angle theorem, we can find that the missing angle is the triangle, the two known angles are 4x and 2x, is also 54°.
Since the sum of the interior angles of a triangle is always equal to 180°, we can make the equation:
2x + 4x + 54 = 180
Now we solve for x. Subtract 54 from both sides and combine like terms.
6x = 126
Divide both sides by 6.
x = 21
and now we have found the value of x. x = 21.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
x=21°
Step-by-step explanation:
Relations Between Angles
We need to recall two basic relations:
* Two angles opposite by crossing lines are always equal.
* The sum of angles in a triangle is 180°
We'll add some variables to the image, so x is easier found. Please check the image below.
The angles U and 54° are opposite and they must be equal, thus U=54°
Since m and n are parallel and they are crossed by a line, the angles V and U are equal, thus V=54°
Finally, The sum of the angles inside the triangle RST must be equal to 180°:
2x+4x+54=180
Joining like terms:
6x=180-54=126
Solving:
x=126/6
x=21°
What is the solution set for this inequality? -8x-40 (greater than) -16
Answer:
x < -3
Step-by-step explanation:
Select which function whose graph is a line.
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what is the slope plss helpp
Answer: m = 5/2
..............................
Answer:
C: 5/2
Step-by-step explanation:
I looked it up on Math-way
g(x) = 4x -9, what is g^-1(x)
Answer:
g^-1(x)= 1/4x-9
1 is above 4x-9
Step-by-step explanation:
g(x)= 4x-9
and g^-1 = 1/g(x)
so:
1/gx=1/4x-9
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Answer:
the right is the answer :>
Step-by-step explanation:
Solve the quadratic using the quadratic formula. *
Solve:
6x^2 + 7x – 5 = 0
Answer:x = -5/3 or x = 1/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+7x−5=0
Step 1: Factor left side of equation.
(3x+5)(2x−1)=0
Step 2: Set factors equal to 0.
3x+5 = 0 or 2x−1 = 0
x = -5/3 or x = 1/2
Answer:
[tex]x=\frac{1}{2}[/tex]
[tex]x=-1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}[/tex]
Ignore the A before the ±, it wouldn't let me type it correctly.
6x² + 7x - 5 = 0
a = 6
b = 7
c = - 7
[tex]x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}[/tex]
[tex]x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}[/tex]
[tex]x=\frac{-(7)±\sqrt{49 +120} }{2(6)}[/tex]
[tex]x=\frac{-7±\sqrt{169} }{12}[/tex]
[tex]x=\frac{-7±13 }{12}[/tex]
Two separate equations
[tex]x=\frac{-7+13 }{12}[/tex]
[tex]x=\frac{-7-13 }{12}[/tex]
________________________
[tex]x=\frac{-7+13 }{12}[/tex]
[tex]x=\frac{6 }{12}[/tex]
[tex]x=\frac{1}{2}[/tex]
[tex]x=\frac{-7-13 }{12}[/tex]
[tex]x=\frac{-20 }{12}[/tex]
[tex]x=-1\frac{2}{3}[/tex]
Solve for x.
5)
F
5x -5
18x + 9
A
105°
G
A) 12
C) 10
B) 2
D) 7.
Answer:
7
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite interior angles
18x+9 = 5x-5 + 105
Combine like terms
18x+9 = 5x +100
Subtract 5x from each side
18x-5x +9 = 5x+100-5x
13x +9 = 100
Subtract 9 from each side
13x +9-9=100-9
13x= 91
Divide by 13
13x/13 = 91/13
x = 7
If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.
Answer:
EOG is 64
Step-by-step explanation:
We can have a diagram for this.
From the description in the question, we can see that the ray FO splits the angle into 2.
We can have the diagram as shown in the attachment;
So mathematically;
EOG = EOF + FOG
So EOG = 26 + 38
EOG = 64 degrees
Please check attachment for a diagram
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Rewrite the equation into slope intercept form. y - 4 = 1/5 (x - 5)
Answer:
y = 1/5x + 3
Step-by-step explanation:
y - 4 = 1/5(x - 5)
y - 4 = 1/5x - 1 Distribute numbers to parenthesis
y = 1/5x + 3 Add 4 to both sides
How do you find the slope if a line of two points are given?
If it is the two ordered pairs that are given then use the following slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
also known as m = rise / run
Step-by-step explanation:
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Answer:
third answer is correct
Given a∥b and m∠8=109° .
What is m∠3 ?
Answer:
image is not very clear
Step-by-step explanation:
m∠3 = 180 - 108
m∠3 = 71°
or
m∠8 ≅ m∠3 = 109°
At a sale, dresses were sold for $144 each. If the dresses originally cost $200, what percentage of its original price was a dress sold for?
Answer:
72%
80% of 200 is 160.
75% of 200 is 150.
74% of 200 is 148.
72% of 200 is 144
Just to make sure ask google or siri "What is 72% of 200?".
Hope this helps!
Answer:
28% (because it was marked down by $56 dollars)
Step-by-step explanation:
144/200 = 72%
100% (200) - 72% (144) = 28% (56)
56/200 = 28%
28% (56) + 72% (144) = 100% (200)
Find the mode of the set of data 59,61,54,61,38,46,56,52,63,40,44
Step-by-step explanation:
Mode= Most frequently occurred data
61 occurred 2 times in the given set of data
Mode=61simplify -5x+11x-4+2
If angle x is the reference angle, which side is the opposite side
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[tex]1/10^{3}[/tex]
in order to do this you flip it or do the reciprocal and make your exponent positive
1 Write an equation in slope-intercept using the two-given input-output pairs. (3,9) (5,17)
Your class is going on a field trip to the Miami Science Museum.
It costs $20 for each adult (a) and $13 for each student (s).
Write an expression for the cost of adults and students to enter
the museum. Then, find the total cost for 4 adults and 24
students.
Answer:
Total is 392
Step-by-step explanation:
$20 - Adult (x)
$13 - Student (y)
20(x) + 13(y) = Total
20(4) + 13(24) =
80 + 312 = 392
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If line segment BC is an angle bisector, the measure of angle CBF - (10x-9) degrees, and the mesaure of angle FBE - (8x+30) degrees
find the value of x
A) 15
B)19.5
C)8
D)4
Answer:
8
Step-by-step explanation:
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I need help with this ?
Answer:
C
Step-by-step explanation:
[tex]f(x)=4(5)-11\\f(x)=20-11\\f(x)=9[/tex]
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Red
Answer:
9
Step-by-step explanation:
f(x)= 4×5 - 11
you plug in the 5
4×5=20
20-11
= 9
how do we get x+2=6 from 3x+6=18 solve for x and explain how we get that equation
Answer:
Step-by-step explanation:
Subtract 6 from 18. 3x=18. You could divide by 3 to get x=6
The temperature in Juno, Alaska was 15 degrees at 7am. The temperature dropped 12 degrees every hour for 4
hours. What was the temperature at 11am?
1/7 of 149.6 make sure it is in decimal form
Answer:
21.3714286
Step-by-step explanation:
Answer:
1/7 • 149.6 = 21.37142857
What statements describe this graph? Check all that apply. The points are scattered. The points are not connected. O The graph displays a discrete graph. O The graph displays the relationship of test scores to hours studied. The graph represents the relationship between two sets of data.
Answer:
The points are scattered, the graph displays a discrete graph, and the graph displays the relationship of test scores to hours studied.
Step-by-step explanation:
Answer:
It is also E - The graph represents the relationship between two sets of data.
A C D and E is the correct answer.
Step-by-step explanation:
Is 1,000 a rational number or a irrational or is it a whole number ?
Answer:
1,000 is both a rational number and a whole number.
If my answer helped, please mark me as the brainliest!!
Thank You!!
5. mx + b = c solve for x
Answer:
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
, because that will give us the x-value at which the line crosses the x-axis.
Step-by-step explanation:
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
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Answer:
Yes
Step-by-step explanation:
Greatest to least 1/2 0.12 2/3 0.6
Answer:
2/3, 0.6, 1/2, 0.12
Step-by-step explanation:
1/2, 0.12, 2/3, 0.6
im going to switch each to decimal if it isn't already
1/2 = 0.5
2/3 = 0.666 repeated
so now we have
0.5 , 0.12, 0.666 repeated, 0.6
now im going to put them in order
0.666 repeated, 0.6, 0.5, 0.12
now im going to change them back
2/3, 0.6, 1/2, 0.12
Answer: 2/3, 0.6, 1/2, 0.12
Step-by-step explanation:
First I'm going to convert the fractions to decimals:
1/2 = 0.5 and 2/3 = 0.7 (rounded). Now the problem looks like: 0.5, 0.7, 0.12, 0.6. Organizing from greatest to least: 0.7, 0.6, 0.5, 0.12
In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.
Given:
In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.
To find:
The length of o, to the nearest inch.
Solution:
According to cosine formula,
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in ΔOPQ, we get
[tex]o^2=p^2+q^2-2pq\cos O[/tex]
On substituting the values, we get
[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]
[tex]o^2=32400+14400-43200(-0.9877)[/tex]
[tex]o^2=46800+42668.64[/tex]
[tex]o^2=89468.64[/tex]
Taking square root on both sides.
[tex]o=\sqrt{89468.64}[/tex]
[tex]o=299.113[/tex]
[tex]o\approx 299[/tex]
Therefore, the length of o is about 299 inches.
Answer:299
Step-by-step explanation: