Answers
Answer:
m<A = 120°
m<C = 45°
Step-by-step explanation:
We can use the triangle sum theorem to find the measures of the angles.
m<A + m<B + m<C = 180°
Then substitute in their given values.
12x + 12 + 15 + 3x + 18 = 180°
Now simplify the equation and you get
15x + 45 = 180°
Continue to solve
15x = 135
x = 9°
Now substitute this value of 9 for the angle expressions of <A and <C
(12 x 9) +12 = m<A
m<A = 120°
(3 x 9)+ 18 = m<C
m<C = 45°
Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.
Related Questions
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Question 6 (1 point)
How likely is it for the spinner to land on a C?
There is a
% chance the spinner will land on a C.
Blank 1:
Answers
Answer:
The likeliness to land on C is 1/2
Step-by-step explanation:
hope this helps
what is (3z+1) + (5+7z)
Answers
the answer is:
10z+6
hope this helps :)
A town has a population of 12,000 and grows at 5% every year what will the population after 12 years be to the nearest whole number
Answers
Input. Output
2. 10
4. 18
6. 22
Answers
Answer:
incomplete question
Step-by-step explanation:
Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100
Answers
Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
Learn more about the arithmetic series from here
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A ladder is103 inches tall. How tall is it in feet and inches?
Answers
Answer:
8.58333
Step-by-step explanation:
round to 8.6 feet
Answer:
8 foot and 5 inches
Step-by-step explanation:
PLEASE HELP ME ?!?!?!
Answers
Answer:
19
Step-by-step explanation:
3x=60
x=20
hope this helps !
time spent fishing and the amount of bait in the bucket
Answers
Answer:
not proper information is given
can someone pls help me with this before I fail
Answers
Answer:
Answer is C
Step-by-step explanat
White as an algebraic expression: the sum of 3 and the product of p and 7
Answers
Answer:
The answer is 3 + p × 7.....
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A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?
Answers
Answer:
Well, you would need to graph both, and you can see they intersect at the point (12,15)
Solve the inequality 1/3(x-6)>2
Answers
Answer:
x>12
Step-by-step explanation:
1/3(x-6)>2
distribute 1/3
1/3x-2>2
add 2 to both sides
1/3x>4
multiply both sides by 3
x>12
PLS HELP IM TIMED!!
The sum of the measures of all the interior angles of a regular dodecagon
is 1800°. What is the measure of each of its interior angles?
- A) 150°
- B) 160°
- C) 180°
- D) 192°
Answers
Answer:
A) 150°
Step-by-step explanation:
Hope I helped you
Answer:
its A
Step-by-step explanation:
3x-4/5=-1/2 what is the value of x ?
Answers
Answer:
the value of x is 0.1
Step-by-step explanation:
i hope this helped
have a good day
Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour
Answers
Answer:
14 miles per hour
Step-by-step explanation:
The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour
I need help please !! I'll give brainliest ♥
Answers
What is the length of r and t ?
Answers
What ratio in simplest form. 36:12
Answers
12 (3 + 4) =
36 + 48
0.84
123 + 124
15 + 16
Answers
36+48=84
123+124=247
15+16=21
How many coins are in each pouch?
Answers
Answer:
14
Step-by-step explanation:
The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?
Answers
Answer:
$49
Step-by-step explanation:
$70 - 30% = $49
Answer
its 47$
Step-by-step explanation:
You divide the number by the percentage which in this problem would look like 0.30 and then you move the decimal to the left once after you get your answer this is about
Brain Teaser
> Solve this riddle.
I am an even factor of 24.
I have only 2 factors.
Which number am I?
Answers
Answer:
You're the number 2.
Step-by-step explanation:
2 is even, is a factor of 25, and only has the factors 1 and 2.
Answer:
Its 2.!!!
Well no need for step- by- step explanation cuz only two has 2 factors. LOL!!
Hope it helped!!!
solve the following for x 4(x+2) = 6x
Answers
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
4(x+2)=6x
distribute 4:
4x+8=6x
Subtract 4x from each side:
8=2x
Divide both sides by 2:
x=4
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
Answer:
17
Step-by-step explanation:
Write the equation of the line given a slope of 0 through the point (5, -7)
Answers
so the equation would be y=-7
Answer:
y=-7x+5
Step-by-step explanation:
Consider the rectangular prism.
What is the surface area of the rectangular prism?
Answers
Answer:The answer would be 240in 2
Step-by-step explanation:10 times 6 is 60 times 4 is 240 I hope this helps.
I need help- Badly I forgot how to do this- yikes
Answers
Answer:
Step-by-step explanation:
An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)
A farmer's annual income is represented by the variable x. The farmer will pay 25% of his income for federal taxes and 9% of his income for state taxes. Which two expressions represent the amount of money the farmer will have after paying these taxes?
0.34x
0.66x
1 – 0.34x
x – 0.34x
x(0.25 + 0.09)
Answers
Answer:
x - 0.34x
Step-by-step explanation:
14. Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
A. y = x –1
B. y = 0.5x –1
C. y = -0.5x + 5
D. y = -0.5x + 1
Answers
D (sorry if I’m work)
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line is y = -0.5x + 5
Option C is the correct option.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line y = mx + c.
The line passes through (4, 3) and (6, 2).
This means,
We can find the slope using the coordinates (4, 3) and (6, 2).
Slope = m
m = (2 - 3) / (6 - 4)
m = -1 / 2
Now,
For the y-intercept.
Take any point.
(4, 3) = (x, y)
y = mx + c
3 = (-1/2)4 + c
3 = -2 + c
3 + 2 = c
c = 5
Now,
m = (-1/2) = -0.5
c = 5
The equation of the line is y = -0.5x + 5
Thus,
The equation of the line is y = -0.5x + 5
Option C is the correct option.
Learn more about equation of a line here:
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Sound fruit seller earns a $0.40 profit for each Apple that it sells and a $0.40 profit for each bananas at its cells which expression shows Sam's total profit from selling apples and bananas
Answers
Answer:
[tex]P= 0.4x+ 0.4y[/tex]
Step-by-step explanation:
Given data
Profit from apple= $0.4
Profit from banana= $0.4
Let the number of Apples sold be x, and the number of bananas sold be y
and the total profit be P
Hence the expression for the total profit is given as
[tex]P= 0.4x+ 0.4y[/tex]
