The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|
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Answer:
Step-by-step explanation:
The measure of angle TVU is 74 degrees.
What is alternate interior angles?The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
According to the given question.
m ∠STV = 108 degrees
And,
m ∠RST = 74 degrees
Since, ∠RTS and ∠STV are linear pair of angles.
Therefore,
m ∠RTS + m ∠STV = 180
⇒ m ∠RTS + 108 = 180
⇒ m ∠RTS = 180 - 108
⇒ m ∠RTS = 72 degrees
Now, in ΔRTS we have
m ∠RTS + m ∠TSR + m ∠SRT = 180 (sum of the angles of a triangle is 180 degrees)
⇒ 72 + 74 + m ∠SRT = 180
⇒ m ∠SRT = 180 -146
⇒ m ∠SRT = 34 degrees
Here, ∠SRT and ∠TVU are alternate interior angles.
Therefore,
m ∠SRT = m ∠TVU
⇒ m ∠TVU = 74 degrees.
Hence, the measure of angle TVU is 74 degrees.
Find out more information about alternate interior angles and linear pair of angles here:
https://brainly.com/question/19588918
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Related Questions
guys pls help me!!!!!!!
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Answer:
x = 131
Step-by-step explanation:
the angle adjacent to x on line l corresponds to 49° and are congruent, then
49 and x are adjacent and sum to 180° , that is
x + 49 = 180 ( subtract 49 from both sides )
x = 131
complete the table to summarize what you know about each rocket.
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or
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c 35 84
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length is 84
c 35 is hypotenuse
equals 120 neareast tenth
Help pls and show your work!
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2. Now you have 4/3 + 5/6.
3. The LCD of 3 and 6 is 6. Convert 4/3 into 8/6. We multiplied 4/3 by 2 to get the denominator of 6.
4. 8/5 + 5/6 = 13/6
if Ax and 60b 30c find its unknown sizes of angle
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Step-by-step explanation:
3360832553 pass wZE2XQ
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[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]
Answer:Option A .
[tex] - 2 \frac{2}{5} [/tex]
URGENT PLEASE HELP, respond to c, d, e, and f please !!
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Answer:
Step-by-step explanation:
c. (18.5-17)/.9= 1.66666666667= 1.6667
d. .7107
e. .2185
f. 0.675=(x-17)/.9 x= 17.6075
the quotient of 8 and y
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Answer:
"The quotient of 8 and y" is written as the following algebraic expression:
8÷y
A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.
is the x–axis label.
is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair
is found in the scatterplot.
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Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Step-by-step explanation:
I'm late but hope this helps
help with this question
Answers
Answer:
B
Step-by-step explanation:
the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x
Due tomorrow i need help please
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Answer:
(-6,9)
Step-by-step explanation:
You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.
DUE IN 5 MINUTES PLEASE HELP
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Answer:
they are perpendicular
Step-by-step explanation:
Please help me on this it’s due
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================================================
Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]
Do the same for the other mixed number 2 & 1/3.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]
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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]
The last step is to convert that result to a mixed number.
[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
-----------------------
Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
What is the rotation of point A (-2, 3). 90 degrees?
A. (2,3)
B. (-2,-3)
C. (3,-2)
D. (3,-2)
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Step-by-step explanation:
Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.
So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.
z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)
=−3−y0+x0+(2+x0+y0)i
x=Rz
y=Iz
Thus the new point is at (−3+x0−y0,2+x0+y0)
hence (-3,2)
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
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Answer:
Step-by-step explanation:
please show the work but thanks !!!
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HELP!
Find f(-1) for f(x) = -3x + 2x”.
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Answer:
f(-1) = 1
Step-by-step explanation:
f(-1) just means you plug -1 into the equation:
-3x + 2x
-3(-1) + 2(-1)
3 - 2
1
Hopefully this helps!
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Answers
Answer:
[tex](m^{4} + 5) - n^{3}[/tex] = 85
Step-by-step explanation:
[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
[tex](m^{4} + 5) - n^{3}[/tex]
[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
Answer: 85
Step-by-step explanation:
(m^4+5)-n^3
(-2^4+5)-(-4)^3
(16 + 5)-(-64)
21 + 64 = 85
The picture is my question, tap on it to see it better please answer it.
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Answer:
When x= 4, then f(x)= 13.
When x= g(x), then f(x)=g
When x= -3, then f(x)= -1
When x= -15(x), then f(x)= -15
helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
a) = 4.198
b) = 4.146
Step-by-step explanation:
a) 15.444/6+0.232*7
do pemdas
=15.444/6+(0.232*7)
=(15.444/6)+1.624
=2.574+1.624
a) = 4.198
b) (1.709+0.364)*6/3
pemdas again
=(2.073) *6 / 3
=12.438 / 3
b) =4.146
Hope this helps :)
Answer:
A 4.198 and b is 2.073
Step-by-step explanation:
i hope this is right
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Answers
Answer:
y = [5/2]x + [5]
Step-by-step explanation:
y= mx+b
m=rise/run
m=5/2
b=y intercept
b=5
y = 5/2x + 5
How do you factor x^2 + 4x - 4?
Answers
Answer:
you cant factor it.
Step-by-step explanation:
If y varies directly as x and inversely as z, and y=22 when x=4 and z=6, find y when x =10 and z = 25.
I give Brainliest! Please no links
Answers
y = kx/z
22 = k(4)/6
22(6) = k(4)
132 = k(4)
132/4 = k
k = 33
y = kx/z
y = (33)(10)/25
y = 330/25
y = 66/5
Fill in the [?]:
11,562 um = [?]m
Give your answer in standard form.
Enter
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Micrometer is a millionth of a meter
11,562/1,000,000 = 0.011562
What is the value of 5³ ?
Answers
Answer:
125
Step-by-step explanation:
5^3 = 5 x 5 x 5
5 x 5 x 5 = 25 x 5
25 x 5 = 125
answer:
125
step by step explaination:
5³
5×5×5 = 125
Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)
Answers
Answer:
[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]
Step-by-step explanation:
[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]
→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]
[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]
[tex]\sf m=-\cfrac{7}{5}[/tex]
_________________________
Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.
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Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
I beat the wither and the ender dragon what next
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Determine the value of the expression 2(x - 3) when x = 2.
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Answer:
-2
Step-by-step explanation:
2(x-3), x=2
Since we know what x equals, plug it into the equation
2(2-3)
2(-1)
-2
Answer:
2(2-3)
4-3
1
Step-by-step explanation:
[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]
i do not understand question 6
Answers
9514 1404 393
Answer:
28
Step-by-step explanation:
The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.
Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.
Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.
__
Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.
perimeter ΔBEC = CB +BE +EC
perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in
The perimeter of triangle BEC is 28 inches.