Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]
Step-by-step explanation:
✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]
The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.
❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]
☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]
∠B = 3x°∠ C = 4x°∠ A = 2x°☄ [tex] \underline{ \sf{To \: Find :}}[/tex]
Measure of C✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]
[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]
→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]
→ [tex] \sf{9x = 180 \degree}[/tex]
→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]
→ [tex] \sf{x = 20 \degree}[/tex]
The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :
[tex] \text{∠c = 4x}[/tex]
→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]
→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]
Hence , The measure of ∠ C is 80 °
Hope I helped ! ッ
Have a wonderful day / night ! ♡
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Related Questions
Pls help I’m bad at math no matter how much I try
Answers
Answer:
9/1 = 0.9
2 = 2.0
3 1/10 = 3.1
10 = 100
Step-by-step explanation:
Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answers
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
what’s the answer and how did you get it? i’m confused
Answers
Answer:
The answer is 3.
Step-by-step explanation:
Because you should put the gh with gh, 2 is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.
Answer: The given expression is 8g^2h-7gh+2
The degree of 8 g^2 h is 2, 1
The degree of - 7 g h is 1
The degree of 2 is 0
But the degree of expression will the highest degree of the indivisual expression of above i.e 3.
The answer is 3.
Find the volume of this shape 11 cm 16 cm
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Answers
Answer:
x = 72
hope it helps
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Answers
Answer:
Step-by-step explanation:
Slope = (6-3)/(2-1) =3
What is a SKEW in Geometry?
Answers
Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy?
Bag A:10 ounces for $1.10
Bag B:12 ounces for $1.38
Bag C: 6 ounces for $0.84
A. Bag A
B. Bag B
C. Bag C
D. Bag A and Bag B are equally good values
Answers
Answer:
A: 11 cents per ounce
B: 11.5 cents per ounce
C: 14 cents per ounce
Bag A would be the best buy
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answers
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
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Answers
Answer:
For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]
For the second: [tex]x=5[/tex]
Step-by-step explanation:
Answer:
x=17 for the first and x=5 for the second.
Step-by-step explanation:
First picture
Opposite angles of two intersecting lines are equal.
So the angle opposite the 100 degree angle on line c is also 100.
Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).
So 5x + 15 = 100
5x = 85
x = 17
Second picture
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[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]
Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0
Answers
Answer:
9.0, 9.012, 9.201, 9.210
Step-by-step explanation:
9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.
please help me with this
answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)
Answers
Answer:
the answer is the first one hope this helps
Step-by-step explanation:
Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due
Answers
Answer:
99.12 lbs are in 45 kilograms.
Step-by-step explanation:
❃We can solve using proportion.
[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]
➼ I rounded to the nearest hundredth
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Answers
Answer:
Option C.
Ground level = 0 foot
Hole = -3 feet
Dirt pile = 3 feet
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Answers
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.
Answers
Answer:
25%
Step-by-step explanation:
Given that,
Initial cost of a t-shirt = $30
Final cost of a t-shirt = $37.50
We need to find percent of change. The percentage change in any value is given by :
[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]
Hence, the percentage error is 25%.
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Answers
Answer:
i mean might as well get free points now that its 2 weeks old
Step-by-step explanation:
Answer:
Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.
Width = A
Length = B
Diagonal = C
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2500+10000=c2
12500=c2
c=√12500
c=111.80 yards
Step-by-step explanation:
the ambitous jackle
BRAINLIEST
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1. -3ab
2. 2ab^2
3.-6a^2 b^2
4.-5ab^2
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Answers
Answer:
2nd option is the right answer
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Answers
Answer:
48v - 16x + 32
Step-by-step explanation:
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answers
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?
The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.
Answers
Answer:
46,691
Step-by-step explanation:
Given that:
Initial population, P = 51000
Decreasing rate = 1.75% = 0.0175
Time, t = 5 years
Using the relation :
A (t) = Po * ( 1 - r)^t
A(t) population after t years
Po = Initial population figure
r = rate of decrease
A(t) = 51000 * (1 - 0.0175)^5
A(t) = 51000 * (0.9825)^5
A(t) = 51000 * 0.91550937355400390625
A(t) = 46690.9780
Hence, population after 5 years will be : 46,691
Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is
Answers
Answer:
Step-by-step explanation:
fixed cost = 100
variable cost = 13
soooo....
cost = (13x + 100)/x
the questions wants to know when cost < 22.50
22.5 > (13x+100)/x
look at graph attached ;)
it looks to me like it's at 11
22.5 > (13(11) + 100) / 11
22.5 > 22.09
try 10
22.5 > (13(10) +100)/10
22.5 > 23 not true so yes.. 11 is when the cost goes below 22.50
Answer:
Y’all the correct answer is 10
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Answers
Answer:
point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.
y - 5 = 1/3 (x - (-2))
Step-by-step explanation:
3x + 2x +9 = 10-14
Solve for x
Answers
Answer:
-2.6
Step-by-step explanation:
3x+2x+9=10-14
5x+9=10-14
5x+9=-4
5x=-4-9
5x=-13
x=-13/5
x=-2.6
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Answers
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
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Answers
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answers
Answer:
The answer is 200
Step-by-step explanation:
x x=ly y=2x-2
you need use solving systems substitute
Answers
Answer:
3
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.
Not what I really think it might be, but I hope it helped you!
Can someone please help me
Answers
Answer:
y=89
Step-by-step explanation:
because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42
A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20
Answers
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56