In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.
Answers
Applying the exterior angle of a triangle theorem, m<WUV = 36°
What is the Exterior Angle of a Triangle Theorem?The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.
Applying the exterior angle of a triangle theorem:
m<WUV + m<UVW = m<VWX
Substitute
2x + 8 + 3x + 16 = 8x - 18
Add like terms
5x + 24 = 8x - 18
5x - 8x = -24 - 18
-3x = -42
-3x/-3 = -42/-3
x = 14
m<WUV = 2x + 8
Plug in the value of x
m<WUV = 2(14) + 8
m<WUV = 28 + 8
m<WUV = 36°
Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°
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Related Questions
Which graph is this?
Answers
Cans of corn are on sale at 10 for $4. What is the cost of 15 cans
Answers
Answer:$6
10*1.5=15
4*1.5=6
Step-by-step explanation:
Which graph shows a set of ordered pairs that represents a function?
Answers
Answer:
2nd Graph
General Formulas and Concepts:
Algebra I
Vertical Line Test - A function's x-values must have only 1 corresponding y-value. If the function fails this test, it is not a function.Step-by-step explanation:
When we apply the Vertical Line Test to the 1st graph, it does not pass (x = 1). Therefore, the 1st graph is not a function.
When we apply the Vertical Line Test to the 2nd graph, it does pass. Therefore, the 2nd graph is a function.
When we apply the Vertical Line Test to the 3rd graph, it does not pass (x = 2). Therefore, the 1st graph is not a function.
When we apply the Vertical Line Test to the 4th graph, it does not pass (x = -3). Therefore, the 4th graph is not a function.
Answer:
2nd graph is correct
Step-by-step explanation:
Which shows the best use of associative and commutative properties to make simplifying 3/4 - 5 + 9 -2/4 + 2 easier?
Answers
Answer:
(-5) + 9 + 2 + 3/4 + (-2/4)
Find f(-5) If f(x) = lx+ 1l.
Answers
Solve for xxx.
Your answer must be simplified.
x/-6 ≥ -20
Answers
[tex] \mathsf{Hey \: there}[/tex]
[tex] \mathsf{\dfrac{x}{ - 6} \geq - 20}[/tex]
We can substitute the greater or equal to sign as a "equal" sign (for now)[tex] \mathsf{\dfrac{x}{ - 6} = - 20}[/tex]
Multiply both of your sides by ⬇[tex] \mathsf{ \dfrac{6}{-1}}[/tex]
Like[tex] \frac{6}{-1} \times \frac{ -1}{6} \mathsf{x} = \frac{6}{-1} \times - 20[/tex]
[tex] \mathsf{Cancel \: out: \dfrac{6}{ -1} \times \dfrac{ - 1}{6} \: because \: it \: you \: 1 }[/tex]
[tex] \mathsf{Keep:{\dfrac{6}{-1} \times \: -20} \: because \: it \: helps \: solve \: for \: your \: equation}[/tex]
[tex] \mathsf{x = 120}[/tex]
We do the same for your equation but a tad bit different![tex] \boxed{ \mathsf{your \: answer: \boxed{ \mathsf{ \huge\bf{x \leq120}}}}} \checkmark[/tex]
- ITS AN OPENED CIRCLE SHADED TO THE LEFT GOOD LUCK ON YOUR ASSIGNMENT AND ENJOY YOUR DAY!~
[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
hehe <120 i thinkkkkkkkkk
Step-by-step explanation:
describe the prime factorization of 180
Answers
Answer:
5 x 2 x 2 x 3 x 3 = 180Step-by-step explanation:
HOPE THIS HELPS’
PLZZ MARK BRAINLIEST
Jackson builds legos at a rate of 3 projects per hour. Write a function that represents the relationship between the amount of Legos built, b, and the number of hours he works, h.
Answers
Answer:b=3h
Step-by-step explanation:
In a recent year, 0.57 of those registered to vote in the United States voted in an election.
Write 0.57 as a percent.
Answers
Answer:
57%? I think.
Step-by-step explanation:
Answer: 57% iḿ sure.
Step-by-step explanation:
I need the correct answer not the wrong answer or the I don’t know answer CORRECT..
Answers
Answer:
6 un
Step-by-step explanation:
2 22= 6
Answer:
1
Step-by-step explanation:
2devided
by 2 =1
What is the greatest place value in this number, 189?
Answers
Answer:
the 1 cause it's a 100
Step-by-step explanation:
100 + 80 + 9
What is the perimeter of this figure?
Answers
Answer:210. 2/3
you would have to add all the numbers to get the answer even the fractions
Answer:
230.6 or 692/3
Step-by-step explanation:
365/6 + 326/6 + 356/6 + 337/6 = 1384/6 = 692/3 = 230.6
1. A grid shows the position of a subway stop and your house. The subway stop is located at (-10, -1) and your house is located at (-18, -16). What is the distance between your house and the subway stop?
A.17
B.22
C.19
D.15
Answers
Brainly
Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.
The table (no graph included just the table) below shows the distance traveled over time by driver 2.
What is the difference between the speeds of the two drivers in mph?
Answers
Answer:
5 mph
Step-by-sep explanation:
To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.
Unit rate/speed = distance travelled/time = y/x.
Speed of Driver 1/unit rate:
The graph shows 1.5 miles (y) is travelled in 2 minutes (x).
Convert the 2 minutes to hour, you will have:
[tex] \frac{2}{60} = \frac{1}{30} hr [/tex]
Speed in mph = [tex] \frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45 [/tex]
Speed of Driver 1 in mph = 45 mph
Speed of Driver 2/unit rate:
The table shows 2.5 miles (y) is travelled in 3 minutes (x).
Convert the 3 minutes to hour, you will have:
[tex] \frac{3}{60} = \frac{1}{20} hr [/tex]
Speed in mph = [tex] \frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50 [/tex]
Speed of Driver 2 in mph = 50 mph
Difference between the speed of the two drivers = 50 - 45 = 5 mph
which inequality is true?
Answers
Answer:
the answer is B
Step-by-step explanation:
choose the correct solution and graph
z+9≤6
Answers
Answer:
z ≤ -3
Step-by-step explanation:
z + 9 ≤ 6
z ≤ -3
How do you do this question?
Answers
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Which expression is equivalent to 4 – (-7)
a 7+ 4
b 4 - 7
c-7 - 4
d -4 + 7
Answers
Answer:
A. 7 +4
Step-by-step explanation:
4 -( - 7 )
4 + 7
7 + 4
Answer:
a
Step-by-step explanation:
4 + 7 = 11. subtracting a negative number is the same as adding
Mai has 4 CDs that she is going to give away. She lets her best friend choose 3 of the 4 CDs. How many different groups of 3 CDs are possible?
Answers
The price of a can of beans is raised from 64 cents to 74 cents. Approximately what is the percent of increase in the price of the can of beans?
Answers
Answer:
15.6%
Step-by-step explanation:
The formula for the percent of change is
Original - new/ original
So
(74-64)/ 64 = 0.1562
Make that a percent
15.6%
Find... (look at the picture)
Answers
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KJI = KJY + YJI
Thus ;
[tex]168 =( 8x - 4) + (36x - 4)[/tex]
[tex]168 = 8x - 4 + 36x - 4[/tex]
Collect like terms
[tex]168 = 44x - 8[/tex]
Add sides 8
[tex]168 + 8 = 44x - 8 + 8[/tex]
[tex]176 = 44x[/tex]
Divide sides by 44
[tex] \frac{176}{44} = \frac{44}{44} x \\ [/tex]
[tex] \frac{16 \times 11}{4 \times 11} = x \\ [/tex]
[tex]4 = x[/tex]
[tex]x = 4[/tex]
So ;
[tex]YJI = 36x - 4[/tex]
[tex]YJI = 36(4) - 4[/tex]
[tex]YJI = 144 - 4[/tex]
[tex]YJI = 140°[/tex]
Done...
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The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards, gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8
Answers
Answer:
B. The must gain 20 yards to keep possessionStep-by-step explanation:
Let the number of yards gained be positive
Let the number of yards lost be negative
Since the total that must be gained in the next four games is 10, hence the total is +10
If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;
-24 + 4 - 10 + x = 10
-20 - 10 + x = 10
-30 + x = -10
x = -10 + 30
x = 20
Hence they need 20 yards in the last round to keep possession
What’s the slope of the graph? (photo included)
giving out brainliest!
Answers
Answer:
Using the slope formula with points (0,-1) and (-4,4)
Step-by-step explanation:
Step 1: find the points, (0,-1) and (-4,4)
Step 2: Insert plot points into Slope formula: (tip: M means slope)
m(slope)= [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex] -> m(slope)=[tex]\frac{4-(-1)}{-4-0}[/tex]
Step 3: Solve:
m(slope)=[tex]\frac{5}{-4}[/tex]
Answer:
Slope is [tex]\frac{5}{-4}[/tex]
or m = [tex]\frac{5}{-4}[/tex]
OR (if your teacher wants the answer in decimal form rounded to the nearest 10th.) m = -1.3
If 12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years
Answers
Answer:
4.083g
Step-by-step explanation:
12 g of a radioactive substance are present initially and eight years later only 6 g remain, how much of the substance will be present after 11 years
Starting with half life, we want to find k.
In a 4 year period, t=8 and A quantity will be reduced to (1/2)*A.
(1/2)= e^k8
In(1/2)
are the triangles congruent ?
Answers
Answer:
yes its sss
Step-by-step explanation:
Answer:
SSS BECAUSE THE TRIANGLE IS GOING UP AND DOWN SO 5% of it so SSS
For which inequality is x = 5 a solution ?
Answers
Answer:
C
Step-by-step explanation:
because x<2 is ... -1,0,1
x>9 is 100,11,12...
but x<18 is 17,16.. 6,5,4
x>42 is more than 42 so 43,44,45...
what is 52.03 squared?
Answers
Answer:
It is 2707.1209
Step-by-step explanation:
Find the point-slope equation of the line contains (-2,-3) and having slope m=4
Answers
Answer:
y + 3 = 4 x (x + 2)
Step-by-step explanation:
point slope formula is y-y1 = m(x-x1)
slope intercept form is y = 4x + 5
y=mx +b
m=4
Find the prime factorization of 32. Write in exponential form.
A. 2 × 2 × 2 × 2 × 2
B. 26
C. 2 × 2 × 2 × 2
D. 25
Answers
Answer:
find the prime factorization of 32. write in exponential form.
option A is correct
HELP ASAP RN 10 POINTS AND BRAINLIEST TO WHOEVER DOES IT CORECTLY The cost to rent a bicycle at Freewheels is $10 plus an hourly rate for each hour the bicycle is rented. The graph represents the linear relationship between the cost, in dollars, to rent a bicycle and the
number of hours rented.
Based on the graph, which statement is true?
Freewheels charges a $4 initial fee and $10 per hour.
Freewheels charges a $10 initial fee and $4 per hour.
Freewheels charges an $8 initial fee and $42 per hour.
Freewheels charges a $42 initial fee and $8 per hour.
Answers
Answer:
Freewheels charges a $10 initial fee and $4 per hour.
that is the correct answer! hope this helped!
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph, we have the following coordinates.
(0, 10)
(1, 14)
(2, 18)
(3, 22)
(4, 26)
(5, 30)
(6, 34)
Now,
The coordinates (0, 10) mean that there is an initial fee of $10.
Rate of change between two points.
= (18 - 14) / (2 - 1)
= 4/1
= 4
This means there is a charge of $4 per hour.
From the graph, we see that,
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
Thus,
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
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