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
Warm-Up
Select all the expressions that are equivalent to [tex]3x-4+2x-6[/tex]
Answers
Dean and his friends went to Aqua World Water Park, where they floated down the Lazy River for 1 2 of an hour. This was 1 4 of the total time Dean and his friends spent at Aqua World. Use an equation to find the total amount of time Dean and his friends spent at the park. To write a fraction, use a slash ( / ) to separate the numerator and denominator.
Answers
That’s 1/4 of the total amount of time they spent in the park
So, 30 minutes x 4 would be 120 minutes or 2 hours which means they spent 2 hours at the water park
A bag contains tiles of different colors. Roshan randomly selects a tile from the bag and returns the tile to the bag after recording the color. He picks a green tile 6 times, a red tile 20 times, a blue tile 7 times, a purple tile 8 times, and a black tile 4 times. Based on the results, what is the theoretical probability that the next tile Roshan picks will be green?
Answers
Answer:
6/41
Step-by-step explanation:
6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41
Answer:
There are four red marbles and six blue marbles in all, for a total of ten marbles.
Without replacement, the probability of the first marble being blue is 6/10, while the probability of the second marble being red is 4/9.
The probability of both events occurring is reduced to 4/15 by multiplying 6/10 * 4/9 = 24/90.
Step-by-step explanation:
Mark me brainliest
Did I do this right?
If not can you tell me what I did wrong?
And please hurry, I need to get this done
Answers
Step-by-step explanation:
A tent has a triangular shaped net over the door. Jelena needs to sew a new net for the door. What is the minimum amount of material needed if the triangle has a height of 52 inches and a base of 60 inches?
1560 square inches
112.5 square inches
3120 square inches
112 square inches
Answers
Answer:
3120 square inches
Step-by-step explanation:
Answer:
1560 square inches
Step-by-step explanation:
52*60/2
Height*Length/2
1560 square inches
∆ABC ˜∆EFG – Why is the notation written in a specific order?
Answers
Answer:because it shows how the shape on the right is the same as the one on the left, just after being enlarged
Step-by-step explanation:
Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.
Answers
Answer: Julyssa is right
Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so
3 + (4x4)
3 + 16
= 19
PEMDAS
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
We know this because in bidmas, multiplication comes first, so 4 x 4 is done first.
So 4 x 4 = 16
And 16 + 3 = 19
can someone please help me
Answers
Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
[tex]\frac{80-20}{40-10} = \frac{60}{30} = 2[/tex]
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.
giving brainliest!!!!!
Answers
Answer:
5.(4,6) 6. (2,9) 7. (0,4)
1-4 i dont know
2. The y axis is the vertical line.
4. 1,5 is the first square… 4,6 is the second.. and 5,1 is the third
Which net below forms a rectangular prism?
Answers
can someone please help me and explain
Answers
Answer:
160
Step-by-step explanation:
Area of base x height
Area of base= 15x3=45
45 x height= 45 x 4
45 x 4= 180
If It's CORRECT I will give BRAINLIEST!!!!!
Answers
Answer:
Im pretty sure its C... Step-by-step explanation: what im seeing here is 10 with the small numbers in front so it looks like scientific notation, Maria has 1 million because 1 x a number = that number, 10 multiplied by itself 6 times equals 1 million, 10 x10 = 100 x 10 = 1000 x 10 = 10,000 x 10 = 100,000 x 10 = 1,000,000. so from this we know what Larry's 10 to the power of 5 is, we need to know what 100,000 x whatever equals. If im doing this right, Larry's number is 1 million 2 hundred thousand which is greater than 1 million. (sorry if the explanation is wanky and sorry if it was wrong, im new to brainly.)
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
Answers
I think C but I’m not for sure sorry
can some one please help me?
Answers
Answer:
here's a tip: (use the equation to get the triangle area/length, then find the surface area of the entire thing). Anyways, I think the answer might be ether 268m squared or 853m squared.
Step-by-step explanation:
Hope this helps you!
Answer:
402.62
Step-by-step explanation:
4*22=88
7.21*22=158.62
6*22=132
2((6*4)/2)=24
add them all up=402.62
Sandra bought 4 pounds of sweet potatoes for $5.36. What is the cost per pound of
the sweet potatoes?
A. $0.75
B. $1.34
C. $1.26
D. $9.36
Answers
Answer:
B. $1.34
Step-by-step explanation:
5.36 ÷ 4
=536×1/4×1/100
=536/400
=1.34
How do I solve this fraction 2/5×5/9?
Answers
Answer:
2/5 x 5/9 = 10/45
Simplified: 2/9
Good Luck! I hope this helps! :)
(1d) Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon. How long is the BLUE ribbon if the length of the RED ribbon is 12 inches? *
Answers
Answer:
19 inches
Step-by-step explanation:
Since the blue ribbon needs to be 7 inches longer than the red ribbon, add 7 to 12 to get 19 inches total.
Hopefully this helps- let me know if you have any questions!
Hey there!
Let's make an equation 28evbar01
=> Convert word problem into equation
7 - x = 12
x = 12 + 7
x = 19
Therefore, Blue ribbon is 19 inches
hope this helps
please mark me brainiest
I like risking my points for hard homework
Answers
Answer:
The triangle and the square have the same area because they both have four squares
Step-by-step explanation:
The square has four that are easily shown but the triangle has one full one but when two are split together like some of them when you put the two together they equal one whole.
Have a wonderful day/night/afternoon
Hello, Again i need help again
Answers
Answer : = -16
hope it helped! :)
:D
Please help with these questions, I need help and please be quick!
(Image attached)
Answers
Answer:
hee-hee!
Step-by-step explanation:
We know that the circles diameter is 15 mm. We can tell that by looking at the side of the rectangle. It says 15 mm.
Either way, we use the formula to find the area of a circle:
A = [tex]\pi[/tex]d
A = (3.14)(15)
A = 47.1
The area of the circle is 47.1. (i think?)
sowwy if it took long
Answer:
426.45 mm
Step-by-step explanation:
find the area of the circle by multiplying the radius by pi(3.14) then you would subtract that from the area of the rectangle. Hope this helps
brainliest if it is right
Answers
Answer:
hi
Step-by-step explanation:
2.) B has the smallest circumference because it has a diameter of 20 inches.
I think these are right, I solved for the circumference to be sure.
Solved = a) 301 b) 62 c) 75 d) 314
Find the area of the blue shaded region in the figure.
A) 80 cm2
B) 112 cm2
C) 120 cm2
D) 160 cm2
Ayuda Por Favor
Help Please
Answers
Answer:
160cm^2
The area of the rectangle minus the area of the right angled triangle (20×10-8×10÷2)
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:)
which inequality does this graph show?
Answers
Answer:
y ≤ 0
Step-by-step explanation:
y ≤ 0
< or >: dashed line
≤ or ≥: solid line
≤ or <: shade below the line
≥ or >: shade above the line
Here we have:
a solid like (possibilities: ≤ or ≥)
shades below the line (≤)
Final answer, y ≤ 0
Hope this helps!
Answer:
The inequality is D) y is less than or equal to 0
Step-by-step explanation:
The yellow shaded area is on the 0 line and below it, making it less than or equal to 0.
-I hope this helps!
Jonathan and Shaneeka both get paid an equal hourly wage of $12 per hour. This week, Jonathan earned an additional $54 as a bonus. To calculate the total earnings for both Jonathan and Shaneeka, 4 expressions are written in which J represents the number of hours Jonathan worked, and S represents the number of hours Shaneeka worked.
Which expression is not correct?
A. Expression 1
B. Expression 2
C. Expression 3
D. Expression 4
Answers
can u help please? i don't understand this
Answers
Answer:
D
Step-by-step explanation:
To do this you need to simplify (4^3)^5
To do this, simply multiply the powers
So, it would be 3x5
3x5=15
so the answer would be 4^15, which is D
Answer:
4^15
Step-by-step explanation:
( 4^3 )^5
Formula : -
( a^m )^n = a^(mn)
Here,
a = 4
m = 3
n = 5
( 4^3 )^5
= 4^( 3*5 )
= 4^15
Please help! simplify the expression:
Answers
You first distribute 7 into -2a-4, which gets -6a-14a-28. You then combine like terms -6a and -14a, to get -20a-28 which you cannot combine anymore!
Hopefully that’s correct :3
Jackie has a circular shaped table. She wants to paint the circular top. If the radius of the circle is 3 feet, what is the area of the table top?
18.84 square feet
28.26 square feet
56.52 square feet
9.42 square feet
Answers
area of circle :- π r²
[tex] \frac{22}{7} \times 3 \times 3 \: ft {}^{2} \\ \frac{22}{7} \times 9 {ft}^{2} \\ \frac{198}{7} = 28.26 {ft}^{2} [/tex]
Answer:
A.
Step-by-step explanation:
The formula (i believe) is:
A = 2r[tex]\pi[/tex]
A = 2(3)(3.14)
A = (6)(3.14)
A = 18.84
The answer i got is 18.84
hope this helps :)
Sofia's family took a road trip to Mount Rushmore. Sofia slept through the last 65% of the trip. If the total length of the trip was 840 miles, how many miles had they travelled when Sofia fell asleep?
Answers
Answer:
546
Step-by-step explanation:
Sofia slept 546 miles and was awake for 45% which is 294 of the miles.
You can find this by finding 1%, and that would be 8.4. (You get 1% from dividing 100 from the 100% number.) Then you multiply it by 65 so now you get 546.
If the total length of the trip was 840 miles, then Sofia had traveled 294 miles before she fell asleep.
Given that,
If Sofia slept through the last 65% of the trip and the total length of the trip was 840 miles,
then she stayed awake for the first 100% - 65% = 35% of the trip.
Here, we have to calculate the distance she traveled before falling asleep, we can use the percentage of the total distance:
Distance traveled by Sofia = 35% of 840 miles
Distance traveled by Sofia = 0.35 * 840
Distance traveled by Sofia = 294 miles
So, Sofia had traveled 294 miles before she fell asleep.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ3
match these equations balncing steps with the discription of what was done in each step
Answers
Answer:
CAB
Step-by-step explanation:
12x - 6 = 10
divide both sides by 2
6x - 3 = 5
add 3 to both sides
6x = 8
multiply both sides by 1/6
x = 4/3
I don't know how you want to write the answer but this is how you get each equation :/
Answer:
CAB
Step-by-step explanation: