Given: l || m; 1 = 20x + 5; 2 = 24x - 1 Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o Find the value of x.
Answers
Answer:
The answer to your question would be, x=4.
Step-by-step explanation:
∠1 and ∠2 are interior angles between parallel lines that are on the same side of a transversal, so they are supplementary.
Therefore, (20x+5)+(24x-1) = 180
44x = 176
x=4
I hope this helps! Have a great day! :]
For the given set of parallel lines l and m , value of x is equals to 4.
What are parallel line?"Parallel lines are such lines which are equidistant from each other and never intersect in the same plane."
According to the question,
l ║ m ,
As per theorem pertaining to transversal and parallel lines ,
∠1 and ∠2 are supplementary if and only if they are interior angles.
m∠1 + m∠2 = 180° _____(1)
∠1 = 20x + 5
∠2 = 24x - 1
Substitute the value ∠1 and ∠2 in (1), we get
20x + 5 +24x - 1 = 180°
⇒ 44x + 4 = 180°
⇒ 44x = 176
⇒ x = 4
Hence, for the given set of parallel lines l and m , value of x = 4.
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Related Questions
What is the perimeter of a square with a side length of 46 mm?
A. 50 mm B. 100 mm C. 184 mm D. 230 mm
Answers
Answer:
C: 184 mm
Step-by-step explanation:
46*4 = 184
46x4
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answers
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
Sophie lives six and one-fourth miles from the library. She biked three and four-sixteenths miles of the way there. How much farther does she have to go?
two and eight-sixteenths miles
two and three-fourths miles
3 miles
three and three-twentieths miles
Answers
How do you convert .4567 where the 567 is repeating into a fraction?
Answers
Answer:
Step-by-step explanation:
You can't. You just have round it up, I guess
figure it out foo dont you got a dad or is he gone with the milk
Step-by-step explanation:
one. plus 2 + 3
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow? (5 points)
Group of answer choices
fraction 5 over 10
fraction 5 over 9
fraction 4 over 9
fraction 4 over 10
Answers
Answer:
fraction 4 over 9
Step-by-step explanation:
This is because there is one less yellow balloon and one less balloon in total.
Answer:
There are 9 balloons remaining, of which 4 are yellow. therefore the probability that the next balloon is also yellow is 4/9
Describe how the circumference and the diameter of a circle are related.
Please write a complete sentence in simple words. :D
Answers
The diameter of circle is directly related to Circumference.
What is Circumference of Circle?The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.
Given:
The distance around a circle's edge is known as its circumference.
The circumference of a circle is measured by its diameter. The path must go through the middle of the circle.
There is a constant relationship between a circle's circumference and its diameter for all circles, regardless of their diameter.
Thus, they have direct proportional relation.
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Whats 678 × 789 ÷ π ± 672? I need help giving the person with the right answer the brainiest
Answers
Answer:
rounded answer (+) 171036
rounded answer (-) 169692
Step-by-step explanation:
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answers
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
Find the volume of the composite figure pictured below. Who gets it first gets brainlest!
Answers
Answer:
216 cubic ft
Step-by-step explanation:
13
144
96
24
64
64
16
216
Answer:
i say C
Step-by-step explanation:
Liam built a scale model of a ship using the scale 2:24. The scale model ship is 14 in. long and 6 in. tall. (a) What are dimensions of the actual ship? Show your work. (b) Liam also built a scale model submarine using the scale 3 :36. The scale model submarine is 12 in. long and 7 in. wide. Is the actual ship or the actual submarine longer? Show your work
Answers
Answer:
MY sister knows
Step-by-step explanation:
hgvfcxfd
3:36 is also 12 so, the Submarine is 12x12=144 in long and 7x12= 84 in wide.
The ship is longer.
There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?
Answers
The simplest ratio of circles to square is 2:3.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
There are 6 circles and 9 squares.
The simplest ratio;
circles : squares,
Substitute the value of circles and squares;
circles : squares = 6:9
Simplifying,
circles : squares = 2:3
Therefore, the simplest ratio of circles to square is 2:3.
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Answers
Answer:
8
Step-by-step explanation:
8
if you double ivan’s twice since megan did the same
A tent company has a tent design that is a triangular prism. The following is a net of the design.
Note: Figure is not drawn to scale.
If a = 67 inches, b = 68 inches, c = 40 inches, and d = 64 inches, how much fabric is needed to make the tent?
Answers
Answer:
first...you have to split the net into three rectangles and two triangles
picture inserted
Step-by-step explanation:
step 1
triangular base area
1/2 bh = 1/2 (44 in)(64 in)
= 1/2 (2,816 sq in)
= 1,408 sq in.
2 x 1,408 sq in = 2,816 sq in.
step 2
end rectangle area
lw = (68 in)(69 in)
= 4,692 sq in
2 x 4,692 sq in = 9,384 sq in
Now find the area of the middle rectangle
lw - (69 in) (44 in) = 3,039 sq in.
then add all the areas together
2,816 + 9,384 + 3,036 = 15,236 sq in
Sindy bought a pair of jeans with a price tag of $68.00. She paid 8% sales tax. How much sales tax did she pay and what was her final price including tax?
Answers
Answer:
Step-by-step explanation:
Sindy paid $5.44 in sales tax, and her total price was $73.44.
Sales Tax: 68 x .08= 5.44
Final Price: 68 + 5.44= 73.44
Answer:
To find sales tax, you need to find the percent of;
$68.00 * 8%
$68.00 * 0.08
= $5.44
$5.44 is the sales tax
Add the sales tax to the original amount:
$68.00 + $5.44 = $73.44
So the final price including tax is equal to $73.44.
A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 13 inches long and is melting at a rate of 0.4 inches per hour. Find and interpret the slope for this relationship.
0.4; for every additional hour, the length of the icicle increases by 0.4 inches
−0.4; for every additional hour, the length of the icicle decreases by 0.4 inches
13; the length of the icicle when the student first measures it
−13; the length of the icicle when the student first measures it
Answers
Answer: The icicle is getting shorter at a constant rate of 0.4 inches per hour.
Step-by-step explanation:
Answer:
0.4; for every additionional hour
Lei pre sold 32 carnations for a fundraiser, then she sold c more carnations on the day of the fundraiser. She earned 0.25 dollars for each carnation she sold. The expression 8+ 0.25c describes how much money Lei earned for the fundraiser. We can also use the expression 0.25(32+c) to represent the same quantity. Help me Create another Expression please.
Answer I WILL GIVE BRAINLIEST!
Answers
Answer: \(0.5 * (16 + 0.5c)\)
Step-by-step explanation:
Creating identical expressions involves changing quantities in a way that preserves the end values specified in the equation.
For instance, if Lei sold 4 carnations:
\(8 + 0.25 (4) = 9\\\\0.25 * (32 + 4) = 9\)
In the second equation listed, the expression (8 + 0.25c) was multiplied by 4, then by 0.25, for a total multiplicand of 1.
You can make a third equation through the same method. I'll multiply (8 + 0.25c) by 2, and then multiply that expression by 0.5 to keep the multiplicand unchanged:
\(0.5 * (16 + 0.5c)\)
If Lei sold 4 carnations:
0.5 * (16 + 2) = 9
This equation represents the same quantities as the other equations.
Answer:
Here is the correct way to do it
Step-by-step explanation:
Jess is making some fruit baskets each fruit basket weights 67 ounces right inside and equations using ex as the bourbon to represent one apple and get stuck try drawing a diagram each basket contains six identical wheat apples and 7 ounces of strawberries.
A. 6 + 7a = 67 a= 8.7
B. 6(a+7) = 67 a= 4.16
C. 6a+7=67 a= 10
Answers
Answer:
a
Step-by-step explanation:
that Is
answer
through the question
This is an IXL I need help understanding and doing. I will appreciate the help.
Answers
Answer:
The answer would be <1
Step-by-step explanation:
Complementary basically kinda means like a reflection. The opposite of <4 is <1. Here's another, 2 is the the angle complementary to 5.
Hope this helps!
x < -9=?
plsssssssssss help
Answers
Answer:
any number below -9, or any regular number.
please give brainliest ☻︎
Explanation: The domain is anything under -9 () means not including
Infinity is never included
Orderof Operation
Jack buys three shirts at $9 each. He also buys 6 pairs of jeans which were originally $12 per pair, but were on sale for $2 off each pair. Write a numerical expression which would determine how much Jack spent.
Answers
Answer:
3 * 9 + 6 * 12 - (2 * 12)
Step-by-step explanation:
3 * 9 + 6 * 12 - (2 * 12)
27 + 72 - 24
99 - 24 = 75
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
Read the information in the box below.
Charlene is a writer going on a trip. She is bringing several copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds, and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds. Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation.
This problem requires you to show your work and explain your reasoning. Your explanation should be written so that another person could read it and understand your thinking.
Be sure to –
Answer the question prompt
Write an equation or inequality that represents the problem situation
Justify your solution algebraically or using a model such as a table, graph, number line, or other illustration
Maximum score = 4 points
Answers
Answer:
The Maximum score = 4 points don't mean you get four coins, it's just on the paper.
Step-by-step explanation:
The table shows the numbers of snare drum backbeats and bass guitar notes in a disco tune.
Snare Drum Backbeats Bass Guitar Notes
3 2
90 60
120 80
Are the two quantities proportional? Explain.
Use the drop-down menu to show and explain your answer.
The quantities Answer choices: are or are not)
proportional. All the ratios of notes to backbeats are
equivlant or not equivelant (multiple choice question so ill throw in 20 points)
Answers
Are, Equivalent
Step-by-step explanation:
Two quantities are proportional and All the ratios of notes to backbeats are equivalent.
What are the proportional quantities?When two quantities are proportional, it means that as one quantity increases the other will also increase and the ratio of the quantities is the same for all values.
\(\frac{3}{2} =\frac{3}{2}\)
\(\frac{90}{60} =\frac{3}{2}\)
\(\frac{120}{80} =\frac{3}{2}\)
Since all the quantities are equal to 3/2.
So, two quantities are proportional and All the ratios of notes to backbeats are equivalent.
Thus, two quantities are proportional and All the ratios of notes to backbeats are equivalent.
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Find the area of the triangle. (Round your answer to the nearest hundredth.)
Answers
1/2(.4)(.6)
1/2(.24)
.12
hope that helps :)
Identify the two consecutive integers in which the square root lies between.
\(\sqrt{120\)
2. identify the two consecutive integers in which the square root lies between.
\(-\sqrt{185\)
Answers
2)-square root of 195 is about -13.60 which is between the two consecutive number of -13 and -14
Consecutive number are number next to each other. Ex:1,2,3,4 or -1,-2,-3,-4
Consecutive even number are ever even number next to each other.
Correct: 2,4,6,8
Wrong:4,8,26,56,10
Consecutive odd are odd number next to each other.
Correct: 1,3,5,7,9
Wrong:1,7,3,21
This question is basically asking which two number that are next to each other are the solution of the two square root problems.
Hope this helps :)
Square root of 120 is about 10.95 so it’s between 10 and 11.
Square root of 195 is about -13.60 which is between -13 and -14
Hope this helps :))))
A hat company wants to create a cylindrical travel case to protect its beach sun hats using the following pattern.
net drawing of a cylinder is shown as two circles with diameters labeled 17 inches and a rectangle with a height labeled 6 inches
How many square inches of leather will be necessary to create the travel case? Approximate using π = 3.14.
Answers
The amount of leather that will be necessary to create the travel case is given as follows:
373.66 square inches.
How to obtain the surface area of a cylinder?The surface area of a cylinder of radius r and height h is given by the equation presented as follows:
S = 2π r h + 2π r
The dimensions for the cylinder in this problem are given as follows:
r = 8.5 inches -> half the diameter.h = 6 inches.Hence the amount of leather that will be necessary to create the travel case is given as follows:
S = 2 x 3.14 x 8.5 x 6 + 2 x 3.14 x 8.5
S = 373.66 square inches.
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Can 5, 2, 4 be the measures of the sides of a triangle?
Answers
Answer: Yes
Step-by-step explanation:
In order to form a triangle, the sum of two sides must be GREATER than the third side.
a + b > c & a + c > b & b + c > a
5 + 2 > 4 & 5 + 4 > 2 & 4 + 2 > 6
True True True
The sides 5, 2, 4 satisfy the rules for forming a triangle.
Find the perimeter and the area of the polygon with the given vertices.
T (2,7), U (2,9), V (5,9), W (5,7)
The perimeter is __ units.
The area is ___ square units.
Answers
Answer:
Step-by-step explanation:
TU , UV , VW, TW are the sides
As points T and U have same x-coordinate, length of TU will be given by the difference of y-coordinate
TU = 9 - 7 = 2 units
As points U and V have same y-coordinate, length of UV will be given by the difference of x-coordinate
UV = 5 - 2 = 3 units
As points V and W have same x-coordinate, length of VW will be given by the difference of y-coordinate
VW = 9 -7 = 2 units
As points W and T have same y-coordinate, length of WT will be given by the difference of x-coordinate
WT = 5 - 2 = 3 units
TU = VW = 2 units
UV = WT = 3 units
So, TUVW is a rectangle
Area = length *width = 3* 2 = 6 square units
Perimeter = 3 + 2 + 3 + 2 = 10 units
What is the answer???
Answers
Solve the inequality below, then determine which number line shows the solution graphed correctly.
Picture added
Answers
Answer:
Line B
Step-by-step explanation:
2x-6<2
+6 +6
2x<8
/ /
2 2
x<4
It's Number Line B. All symbols are supposed to be less than or equal to, just don't have that symbol on my keyboard.
Answer:
B
Step-by-step explanation:
2x-6 is \(\leq\) 2 is what you start with and first, you would have to move the 6 to the other side to isolate the 2x. To do that, you do the opposite operation of the 6 which is addition. Add 6 to both sides to the eqaution would end up being 2x\(\leq\)8. Now to isolate the x, we also have to do the opposite operation so divide the 2x and the 8 by 2. The eqaution would look like this x \(\leq\)4. Number line B would show this ineqaulity as the arrow is going left to show that x is less than 4 but the dot is also shaded in which means that 4 can also be the answer as well. Hope this helps:)