Answers
Given -
If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,To find -
m∠2.Concept -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
Solution -
[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]
[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18(x+1)=180}[/tex]
[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]
[tex]\rightarrow\sf{x+1=10}[/tex]
[tex]\rightarrow\sf{x=10-1}[/tex]
[tex]\rightarrow\boxed{\bf{x=9}}[/tex]
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
Related Questions
A doctor has an annual income of $148,525. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollar and cents the doctor has to pay?
A) $7,325.30
B) $7,936.20
C) $8,008.25
D) $8,911.50
Answers
Answer:
f a doctor makes $152,125 and is being taxed 6% on it, to find the exact value of the income tax you will
$152,125 x .06 = $9127.50 The amount of income tax in dollars would be $9127.50 Step-by-step explanation:
A truck drove 208 miles on 5 gallons of gas. How far should it be able to go on a full, 11-gallon tank?
Answers
Answer:
457.6
Step-by-step explanation:
if he drove 208 on 5 gallons, 208/5 =41.6 miles per gallon. 41.6*11= 457.6
Answer:
457.6 miles
Step-by-step explanation:
So 208 miles equals 5 gallons so if you add 208 two times you will already have used 10 gallons and that equals 416 miles so far. So now you have to divide 208 by 5 and that equals 41.6 so 416 plus 41.6 equals 457.6 miles
Charisma is getting a gumball out of the gumball machine. There are 24 red gumballs, 20 blue gumballs, 14 yellow gumballs, 17 purple gumballs, and 15 white gumballs in the machine. What is the probability that Charisma gets a gumball that is not yellow?
Answers
Answer:
38:45
Step-by-step explanation:
First, add them all together. This is 90. Next, subtract 14. This is 76. Now simplify. I could only simplify down to 38:45
Hope this helps:)
What is the area of the triangle?
4.5 square cm
108 square cm
54 square cm
21 square cm
Answers
Answer:
the area is 54
Step-by-step explanation:
Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. (Use 3.14 for pi.)
Answers
V = 4/3 x pi x r³
V = 4/3 x 3,14 x 2³ = 33,50 in³
i NEED help with the blank spaces
Answers
B) 35,002=-9x+55000 solve for x=2222
A)0.39
C) Substitute x for 21, 10.74
Directions: Answer each of the questions by typing your answer in the answer boxes.. If you get the answer correct, the box next to it will turn green. If you answer the question incorrectly, it will turn red.
Coach West took his softball team to get pizza after the last game of the season. Their total bill was $128.50. If Coach West wants to leave the server a 22% tip, what is the TOTAL cost of the meal?
Rosa and her sister went to a diner for lunch. They each ordered a salad for $7.20 and a soda for $1.50. If they left their server a 20% gratuity, what was the total cost of their meal?
Mauricio and Frederick went to dinner at a seafood restaurant. The subtotal of their bill was $62.85. If they left their server a 22% gratuity, how much did the server receive?
The Goodman family is dining at Cathy's Cafe. The subtotal of their meal is $84.50. If they left a total of $99.71 including tip, what percent of the subtotal did they leave as a gratuity?
For his job, Keith earns 10% commission on his total sales. If Keith had a total sale of $655 last week, how much did he earn in commissions?
For his job, Keith earns 10% commission on his total sales. To pay for a trip to Top Golf, Keith needs to earn $120 in commissions. What must Keith’s sales total for the week?
For her job, Carrie earns 20% commission on her total sales. If Carrie had a total sale of $440 last week, how much did she earn in commissions?
For her job, Carrie earns 20% commission on her total sales. To pay for an upcoming vacation, Carrie needs to earn $200 in commissions. What must Carrie’s sales total for the week?
Answers
Answer/Step-by-step explanation:
Refer to picture below:
A bakery sells 7 muffins for $3.50. What's the unit rate? $2/muffin $0.50/muffin $0.70/muffin $3.50/muffin
Answers
Answer:
$0.50/muffin
Step-by-step explanation:
To find the unit rate we have to find out how much 1 muffin costs:
To do this we can divide both sides by 7:
7÷7 for 3.50÷7
1 muffin for 0.50
Therefore our answer is $0.50/muffin
Answer:
$0.50 / muffin
Step-by-step explanation:
7 muffins for $3.50
To find the unit rate, we need to find what 1 muffin costs.
so
1 muffin = 3.5/7 = 0.5
$0.50 per muffin.
Hope this helps! If you have any further questions, let me know! :)
- profparis
if I helped you, i would appreciate a brainliest :D
please help asap-
1. Your friend's house is 4.5 miles north and 6 miles east of the firehouse. How far is your friend's house from the firehouse?
2. A cube of ice has a surface area of 24 square inches. What is the volume of the ice?
3. solve 1/3x^3 = 9
Answers
Answer:
1. = 7.5
2. = 8 inches
3. = x=3
Step-by-step explanation:
1) 7.5 miles north-east
2) 8 cubic inches
3) x = 6.24
Step-by-step explanation:
1) Use pythagorus thereom:
a² + b² = c²
4.5² + 6² = c²
20.25 + 36 = c²
c = √56.25
c = 7.5
7.5 miles north-east
2) The ice is a cube,
Surface area = 24
Cube has 6 sides
24 / 6 = 4
1 side = 4
1 length = √4
1 length = 2
Volume = bhd
Volume = 2³
Volume = 8 in.³
3) ⅓x³ = 9
⅓x = (3√)9
⅓x = 2.08
x = 2.08 / ⅓
x = 6.24
3. Find Each Angle Measure
Answers
Answer:
m1=125 degrees
m2=55 degrees
m3=55 degrees
m4=125 degrees
m5=125 degrees
m6=55 degrees
m7=55 degrees
Step-by-step explanation:
becoz the image thing says m8 is 125 degrees
and that just gave us the answer for measures 5, 4, and 1 because a is parallel to b so thats why you can see that all of the measures are all the same
now for 2, 3, 6, and 7 we needa find those righht?
remember full circle is 360 degrees and we know measures 4 and 1 is 125 degrees,
so all we gotta do is add them which is 250 degrees and subtract from 360 degrees
360-250 = 110 degrees
ok now divide by 2 since were lookink for 2 and 3 not 2 and 3 combined
110/2=55 degrees
and boom all of those angles are the same for 5, 6, 7, and 8
What is the surface area of this right prism?
Enter your answer in the box.
cm²
Answers
Answer:
the answer is166 cm²Step-by-step explanation:
we know that
surface area of the prism=2*area of the base+perimeter of the base*height
step 1
find the area of the base
area of the base=length* width
length=5 cm
width=4 cm
area of the base=5*4-----> 20 cm²
step 2
find the perimeter of the base
perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm
step 3
height=7 cm
step 4
find the surface area
surface area of the prism=2*area of the base+perimeter of the base*height
surface area of the prism=2*20+18*7----> 166 cm²
Somebody help me with this? Please
Answers
Answer:
See the attached image for solutions.
Step-by-step explanation:
X-ray vision to all students ratio:
6:36, which can be simplified to 1:6.
Flight to all students ratio:
8:36, which can be simplified to 2:9.
Flight to inivisibility ratio:
8:36, which can be simplified to 2:3.
Hope this helps! :)
Answer:
X-ray vision to all students: 6:36 = 1:6
Flight to all students: 8:36 = 2:9
Flight to inivisibility: 8:36 = 2:3
Hope this helps!
What is the mode of the data set below?
102, 56, 77, 102 81, 72, 55
A.46
B.56
C.77
D.102
Answers
Answer:
102
Step-by-step explanation:
mode is the number that appears the most often.
Answer:
102
Step-by-step explanation:
The mode means the number that repeats the most in a set of numbers.
102, 56, 77, 102, 81, 72, 55
The number that repeats 2 times is 102.
The regular price of a watch is $32.25. During a sale, the watch was marked 16% off. What was the price of the watch during the sale?
A. $5.16
B. $16.25
C. $21.16
D. $27.09
Answers
The most recent answer is incorrect because during a sale the price isn’t set to 16% it is 16% off.
Steps: 32.25 x .16 (16% as a decimal)
Answer to that is 5.16 which you subtract from 32.25
HELP
How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution?
Round to nearest tenth if possible
Answers
Answer:
3.75 quarts, rounded to 3.8 quarts
Step-by-step explanation:
3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.
a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7
Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5
Substitute a for 0.3
0.3+x=4.05 Subtract 0.3 from both sides
x=3.75
Given: Side c is the length of the hypotenuse of a right triangle Sides a and bare lengths of the legs of a right triangle. The area of the large square is equal to the area of the four congruent triangles plus the area of the small square.
what could be the second statement
Answers
Answer:Given: Side c is the length of the hypotenuse of a right triangle Sides a and bare lengths of the legs of a right triangle. The area of the large square is ...
Step-by-step explanation:
4:00 am to 8:00 is how many hours
Answers
Answer:
10 hours
Step-by-step explanation:
assuming its 8pm if its 8 am 4 hours
4:00 am - 8:00 pm = 16 hours
4:00 am - 8:00 am = 4 hours
which graph shows the solution to y < -4?
Answers
Hello !
[tex]\huge \pmb {\boxed {\frak{Proof \: is \: shown \: below :}}}[/tex]
Your answer is B.
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Dollixna ~
The given inequality y < -4 is shown in the attached graph. The correct answer would be an option (B).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Inequalities with "< or > "symbols are shown with a dashed line to indicate that the line is not inside the area. Inequalities involving symbols are depicted with a solid line to indicate that the line is included in the region.
We have been the given inequality y < -4
Rearrange the equation such that "y" is on the left and all other variables are on the right.
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
Hence, the given inequality y < -4 is have shown in the attached graph.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
sense the pic was blurry last time
Answers
Anyway, since Jada's dog is 20% of it's adult weight, but currently weighing 9kg, we must multiply that by 5
9*5=45kg
Jada's dog's adult weight is 45kg
Hope it helped
HELP 30 POINTS
The model for long term average temperature f (x), in degree celsius, at the wilburn airport is represented by the equation f(x)=5cos(x/12)+14.5. If x represents the month of the year, in which months will the temperature be 17°C?
A. x=pi/3+24pi(n) and x=5pi/3+24pi(n)
B. x=pi/3+2pi(n) and x= 5pi/3 + 2pi(n)
C. x=4pi + 24 pi(n) and x = 20pi + 24 pi(n)
D. 4pi+2pi(n) and x=20pi +2pi(n)
Answers
Answer:
i think that the answer is b
Step-by-step explanation:
Answer:b not 100% sure tell me if I’m wrong
Step-by-step explanation:
hi i need help can somebody answer this question and give an explanation
Answers
Answer:
0.30
Step-by-step explanation:
Each marker costs 30 cents each (0.30$)
you have to divide the amount of money (6) by the amount of markers (20)
6 ÷ 20= 0.30
Please try your best and show your work and I will give brainliest!
The table below shows the number of pencils of each color for all 25 pencils in a box.
Pencils in the box
Color Number
Red 11
Blue 11
Green 3
The likelihood of an event occurring may be described as certain, more likely, equally likely, less likely, or impossible.
Part A:
A single pencil is drawn from the box. Describe the likelihood that the pencil is black. Explain your reasoning.
Part B:
The pencils have all been placed in the box. Compare the likelihood of drawing a red pencil to the likelihood of drawing a blue pencil from the box. Show your work and/or your reasoning.
* The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue or green. The likelihood of drawing a green pencil is now greater than the likelihood of drawing a red pencil, but less than the likelihood of drawing a blue pencil.
Part C:
How many colors of each pencil were added to the box. Explain how you know that your answer is the only possible outcome that meets all the conditions.
Answers
Answer:
Part A: impossible
Part B: Either equal or blue
Part C: 9 green and 2 blue were added
Step-by-step explanation:
Part A:
The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.
Part B:
I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.
Part C:
The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.
I hope this helps and please mark me as brainliest!
Answer:
just adding an answer so u can give the other person brainliest x btw thanks to the other person sm!
Step-by-step explanation:
Dahlia wants to build a sandbox that has a perimeter of 26 meters the length is 7 meters
What is the width of there sandbox?
Pls help me!
(Math)
Answers
Answer:
Width = 6
Step-by-step explanation:
7*2 = 14
26-14=12
12/2= 6
The required width of the sandbox made by Dahlia is 6 meters.
Given that,
Dahlia wants to build a sandbox that has a perimeter of 26 meters and a length is 7 meters, what is the width of their sandbox is to be determined.
Perimeter is the measure of the figure on its circumference.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification
Here,
the perimeter of the box = 26
2 × length + 2×width = 26
2 × 7 + 2 × width = 26
14 + 2 × width = 26
2 × width = 26 - 14
width = 12 / 2
width = 6 meters,
Thus, the required width of the sandbox is 6 meters.
learn more about perimeter here:
brainly.com/question/6465134
#SPJ2
what is 12 to the exponent 263845
Answers
Answer:
6?
Step-by-step explanation:
Answer:
Infinity there just isnt an actual number for it
Step-by-step explanation:
(-8+1.5)x4/5
Help please
Answers
Answer:
-5.2
Step-by-step explanation:
-8+1.5 = -6.5
-6.5 * 4/5 = -6.5 * 0.8 = -5.2
Which of the following functions represents a linear function?
Answers
Answer:
f(x) = x
Step-by-step explanation:
it's the only one that is a straight line in a graph
HELP MEE look at the picture attached
Answers
Pls help me thank you
Answers
Answer:
that is 100
Step-by-step explanation:
5 to the power of 5 is 1oo
5 to the power of 5 is 100
Hamid's soccer game is 2 hrs. and 15 mins. long. The game starts at 11:00 A.M. The park closes at 6:30 P.M. Each soccer game is the same as Hamid's game. How many more games can be played before the park closes?
Answers
Answer:
e
Step-by-step explanation:
Soccer game lasts 2 hours and 15 minutes
The game starts at 11:00 A
The park closes at 6:30
The first thing we need to do is to find when Hamid's soccer game finishes
2 1/4 + 11:00 = 13 1/4 = 1:15
(uh so don't know if this is the correct formula for finding time but the answer is correct)
Guessing that each game lasts 2 hrs and 15 mins, we do the same thing
1.25 + 2.25 = 3.75 = 3 3/4 = 3:45
(i added decimals bc i find it the easiest way for me) 1 game
3.75 + 2.25 = 6 (another game)
The answer is 2 games including Hamid's soccer game.
Hope this helps :)
If you draw a right triangle inside a sphere, which statement about the legs of the right triangle is TRUE?
Each leg of the right triangle is greater than the radius of the sphere.
Each leg of the right triangle is equal to the hypotenuse of the sphere.
Each leg of the right triangle is less than the radius of the sphere.
Each leg of the right triangle is equal to the radius of the sphere.
Answers
Answer:
The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect
Answer:
Each leg of the right triangle is equal to the radius of the sphere.
Step-by-step explanation:
I took the quiz and it was right