The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?
Answers
Alternate Interior Angles: Angles that are in the interior of the parallel lines, and are diagonal in the transversal.
So, angles <3 and <6 are alternate interior. <4 and <5 are alternate interior.
I hope this helps!
~kaikers
Answer:
angle 5 and angle 4
Step-by-step explanation:
Related Questions
How many units are between (9,6) and (-16,6)?
Answers
25 units
Help help help plz give me the right answer
Answers
M = Medium
S = Small
L = 3*s
M = 2*s
L + S = 2940
Substitute 3s for L
3s + s = 2940
4s = 2940
s = 2940/4
s = 735
M = 2*S
M = 2* 735
M = 1470
L = 3*S
L = 3*735
L = 2205
You should check this
L + M + S =? 2940
2205 + 735 = 2940 which checks that much of it.
last summer Marion was three and a half feet tall she was 4 inches taller than her brother Elijah she was one in a quarter feet shorter than her sister Lori how tall were Elijah and Lori Last Summer
Answers
M = 3.5 ft.
E = M - 4/12 (since he was 4 inches shorter than Marion) = 3 1/2 - 4/12; find a common denominator (12): 3 6/12 - 4/12 = 3 2/12 = 3 1/6 ft.
L = M + 1.25 (since she was 1 1/4 feet taller than Marion) = 3.5 + 1.25 = 4.75 feet.
(80 POINTS)
For each pair of shapes, decide whether they are congruent, similar, or neither. Choose the best answer.
Answers
The first pair are congruent.
The second are congruent.
The third are congruent.
The fourth are similar.
The fifth are congruent.
Hope this helps!
The first figure is congruent by SSS congruency.
The second figure is congruent by ASA congruency.
The third figure is congruent by SAS congruency.
The fourth figure is Similar.
The fifth figure is congruent by ASA congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
By first figure,
In both triangles, All sides are equal to each other.
Hence, The first figure is congruent by SSS congruency.
By second figure,
In both triangles, One side and two angles are equal to each other.
Hence, The second figure is congruent by ASA congruency.
By third figure,
In both triangles, Two sides and One angle are equal to each other.
Hence, The third figure is congruent by SAS congruency.
By fourth figure,
In both triangles, Ratio of there corresponding sides are equal as;
⇒ 2 : 4 = 5 : 10
⇒ 1 : 2 = 1 : 2
Thus, The fourth figure is Similar.
By fifth figure,
In both triangles, Two angles and One side are equal to each other.
Hence, The fifth figure is congruent by ASA congruency.
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The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose you started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.
Answers
Answer:
It would take 9 minutes for 25 grams of the substance to remain.
Step-by-step explanation:
Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.
The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.
1st stage, it would degenerate to half of its original size;
= [tex]\frac{200}{2}[/tex]
= 100 grams
This occurs in 3 minutes.
2nd stage, it would degenerate to half of its previous size;
= [tex]\frac{100}{2}[/tex]
= 50 grams
This also occurs in 3 minutes.
3rd stage, it would degenerate to half of it previous size;
= [tex]\frac{50}{2}[/tex]
= 25 grams
This also occurs in 3 minutes.
We stop here due to the restriction in the question for 25 grams.
So, the total time taken for the substance to reach a mass of 25 grams
= 3 + 3 + 3
= 9 minutes
It would take 9 minutes for 25 grams of the substance to remain.
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.Find the length of the ladder?
Answers
Hey !!
Check the attachment.
Hope it helps you :)
The length of the hypotenuse or the ladder is 25 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.
So, The base is 7 feet and the height is 24 feet.
Therefore,
Hypotenuse² = Base² + Height².
Hypotenuse = [tex]\sqrt{49 + 576}[/tex].
Hypotenuse = [tex]\sqrt{625}[/tex].
Hypotenuse = 25 feet.
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Which percents would be close to 7%? 4.8% 5.2%. 6.8%. 5.5%
Answers
mathew is 2 yards tall how many inches tall is he.
Answers
please mark as brainliest
The answer is : 72 inches
Reason: a yard is 3 ft and a foot is 12 in so ,
1 yard is 36 in and 2 yards is 72 in
Hopes this Helps u :D
What is the y intercept of y = 6x + 32?
Question 4 options:
6
6x
32
0
Answers
This gives us the following:
y = 6 * 0 + 32 = 0 + 32 = 32
So, the y-intercept is 32.
The y-intercept of y = 6x + 32 is 32.
Explanation:The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.
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A bear cub weighed 64 oz in March. After three months, it weighed 31 lbs. How many lbs did the cub weigh in March?
Answers
64 oz is 4 lbs
Richard caught f fish two weeks ago and 32 fish last week.
How many fish has Richard caught these last two weeks combined?
Write your answer as an expression.
Answers
Answer:
The answer is f+32
Step-by-step explanation:
The expression which represents the total fish caught by Richard is
f + 32.
What is expression?A set of variables, constants, and mathematical operations forms an algebraic expression.
According to the given question.
The number of fishes caught by Richard two weeks ago = f
And the fish caught by Richard last week = 32
Therefore,
The expression for the total fish caught by Richard these last two weeks
= f + 32
Hence, the expression which represents the total fish caught by Richard is f + 32.
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In which quadrant is the point (0,7) located? Explain your answer.
Answers
Find the area to the right of a z score of 2.75 under a standard normal distribution curve
Answers
The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?
Answers
x: cost of the ticket for adults.
y: cost of ticket for children.
We write the system of equations:
2x + 3y = 31
2x + 2y = 26
We solve the system:
Step 1:
2x + 3y = 31
-2x-2y = -26
Step 2:
y = 5
Step 3:
2x + 3y = 31
2x = -3y + 31
x = (- 3y + 31) / 2
x = (- 3 * (5) +31) / 2
x = 8
Answer:
the prices for an adult and child movie ticket are:
adults = $ 8
children = 5 $
To build a desktop you put 2 boards together . One board is 1/3 inch thick, and the other is 1/2 inch thick . How thick will the desktop be?
Answers
)The table below shows a correct representation that 16 pounds (lb) of sugar cost $4: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1 $1
true or faulse?
Answers
$4
---------- = $0.25 / lb (answer)
16 lb
Answer:
it is true
Step-by-step explanation:
Three girls collected geodes in the desert. Corinne collected 11 1/8 pounds, Ellen collected 4 5/8 pounds, and Leonda collected 3 3/4 pounds. How much did Corinne collected than the other two girls?
Answers
Answer:
2 3/4
Step-by-step explanation:
Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)
Answers
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles is 0.20 ohms.
Explanation:To calculate the resistance of a piece of aluminum wire, we first need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils. So, a diameter of 100 mils is equal to 100,000 cmils. Next, we need to use the K value for aluminum, which is 1.82 ohms * cmil/ft. We convert the length of the wire from miles to feet, which gives us 10560 feet. Now, we can calculate the resistance using the formula:
Resistance = (K * Length) / Area
Where K is the conductivity of aluminum, Length is the length of the wire in feet, and Area is the cross-sectional area of the wire in cmils. Plugging in the values, we get:
Resistance = (1.82 * 10560) / 100000 = 0.1957 ohms
Therefore, the resistance of the aluminum wire is 0.20 ohms.
The resistance of the aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F, is 0.0002784 ohms.
To calculate the resistance of the aluminum wire, we need to convert the diameter from mils to cmils. 1 mil is equal to 1000 cmils.
So, the diameter of the wire in cmils would be 100 * 1000 = 100,000 cmils.
Next, we need to use the K value for aluminum, which is 2.65 micro-ohm cmil/foot. We need to convert the length of the wire from miles to feet. 1 mile is equal to 5280 feet.
So, the length of the wire in feet would be 2 * 5280 = 10,560 feet.
Now, we can calculate the resistance using the formula R = (K * L) / A, where R is the resistance, K is the K value for aluminum, L is the length of the wire in feet, and A is the cross-sectional area of the wire in cmils.
Plugging in the values, we get R = (2.65 * 10^(-6) * 10560) / 100000 = 0.0002784 ohms.
A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²
Answers
Answer=408in2
hoped i helped
Answer:
A=408in²
Step-by-step explanation:
A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²
What is the greatest amount of cups of green ooze any one contestant carried?
Answers
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.
Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.
I hope this helps!
In order from greatest to least:
1.
7/8 ; 0.875
3/4 ; 0.75
1/2 ; 0.5
5/8 ; 0.625
1/4 ; 0.25
3/8 ; 0.375
1/8 ; 0.125
0.
I hope this helps!
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Please mark as Brainliest!
Have a wonderful day! : )
Write 3.35 as a mixed number
Answers
As a mixed fraction, that is 63/20. Hope it helps! :)
A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below: A chart shows tally marks. Main title for the chart is Paper Cup Experiment. The title for the second column is Number of times occurred. The tally mark corresponding to open shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. The tally mark corresponding to closed shows a set of 4 vertical lines. The tally mark corresponding to side shows a set of 4 vertical lines cut by a slanting line and a set of 3 vertical lines. Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
Answers
In the table there are 8 tally marks for the cup landing on the open end. Therefore, we could say that the experimental probability of the cup landing on the open end is 8 out 20.
We can write this as the fraction 8/20 or as 40%.
Best of luck,
MrEQ
How many different triangles can be constructed with three angles, each measuring 30°?
Answers
Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie have in he account at the end of eight months?
Answers
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?
Answers
Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C
And
C + 3.5C = Total Cost
C + 3.5C = 9
4.5C = 9 divide both sides by 4.5
C = 9/4.5 = $2.00 for the soft drink
And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich
If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.
Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.
Total cost = $9
x+3.5x=9
4.5x=9
x=9/4.5
x= $2.00
The price of the sandwich obtained as,
=3.5x
=3.5× $2.00
=$7
Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
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What is the range of the function represented by the table?
A {2, 4, 6, 8, 10}
B {2.5, 5.0, 7.5, 10.0, 12.5}
C {2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
D {0.0, 0.5}
Answers
Answer:
{2.5, 5.0, 7.5, 10.0, 12.5}
Step-by-step explanation:
Jasmine has 50 shares of a stock. The value of each share went down by $2 today. Express the total change in value of Jasmines shares as an integer calculation.
Answers
If each stock dropped by a value of $2 and she had 50 stocks, she had a 50 x $2 change. Because The stock dropped this is a negative change.
The rate of change would, be -$100 where the negative sign expresses a decrease in the value of total share.
Explanation:
We are given that:
Jasmine has 50 shares
Value of each share decreased by $2
This means that:
Jasmine's total shares decreased by 50*2 = $100
The rate of change would, thus, be -$100 where the negative sign expresses a decrease.
Hope this helps :)
4n-3=-2n+9 What is the value of the variable 'n'?
Answers
add 3n to both sides
4n= -2n +12
add 2n to both sides
6n= 12
divide both sides by 6
n= 2
Check:
4n-3=-2n+9
4(2)-3= -2(2)+9
8-3= -4+9
5=5
Hope this helps! :)
What is the area of this figure ?
Answers
Palelogram area:
Knowing the base and the height, the area of the parallelogram is calculated by its formula:
A1 = b * h
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2
Kim rode her bicycle 135 miles in 9 weeks riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A.) Eric rode 2 more miles per week than Kim rode
B.)Kim rode 3 more miles per week than Erick rode
C.) Kim rode 11 more miles per week than Erick rode
D.) Eric rode 17 more miles per week than Kim rode
Answers
Answer:
The answer is the option A
Eric rode [tex]2[/tex] more miles per week than Kim rode
Step-by-step explanation:
Step 1
Find the number of miles that Kim rode per week
Divide the total miles by the total weeks
so
[tex]\frac{135}{9}\frac{miles}{weeks}= 15\frac{miles}{week}[/tex]
Step 2
Find the number of miles that Eric rode per week
Divide the total miles by the total weeks
so
[tex]\frac{102}{6}\frac{miles}{weeks}= 17\frac{miles}{week}[/tex]
Step 3
Compare the unit rates
Kim [tex]15\frac{miles}{week}[/tex]
Eric [tex]17\frac{miles}{week}[/tex]
[tex]17\frac{miles}{week}-15\frac{miles}{week}=2\frac{miles}{week}[/tex]
so
Eric rode [tex]2[/tex] more miles per week than Kim rode