Using the property of exterior angles, mK is found by adding the measures of the non-adjacent interior angles mF and mH, resulting in mK being equal to 131°.
Explanation:The student is asking to find the measure of exterior angle mK in triangle FGH. To find mK, which is the exterior angle adjacent to G, we need to use the property of exterior angles in a triangle. This property states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.
To find mK we add the measures of angles mF and mH:
mK = mF + mH
mK = 94° + 37°
mK = 131°
Therefore, the measure of the exterior angle K is 131°, which corresponds to answer choice D.
A cylinder has a volume of 136 cubic centimeters. What is the volume of a cone with the same height and the same diameter
Simplify 4 sqrt 6 / sqrt 30 by rationalizing the denominator. Please show steps.
24√5/√30 is the simplified form of the expression 4√6/√30
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4√6/√30
We have to rationalizing the denominator.
Multiply numerator and denominator by √30
4√6/√30 × √30/√30
4√6×30/30
4√180/30
4.6√5/√30
24√5/√30
Hence, 24√5/√30 is the simplified form of the expression 4√6/√30
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Please help use the diagram of the right triangle above
Errol uses 1/3 can of wet dog food for his dog money each day how many dog servings will he get from five cans of dog food
To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.
How to do I don't know how to do can u help me pls.
Thanks you
In what quadrant does point R lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant III
D.
Quadrant IV
Answer:
Option: D
Point R lie on the Quadrant IV (i.e. quadrant fourth)
Step-by-step explanation:
Clearly from the given graph the point R lie on the fourth quadrant as the fourth quadrant is defined as the region such that any point on it with the given coordinates ; the x-value of any point is positive and y-value of any point is negative.
The coordinates of Point R from the given Graph has coordinates (5,-5).
Hence point R lie on the fourth quadrant.
Hence option D is correct.
All colors of light are bent the same amount as they move from one material to another.
A) Always true.
B) Always false.
C) True, if you change bent to absorbed.
D) False, each color bends a different amount.
What is the quotient of the complex number 4-3i divided by its conjugate ?
Answer:
Quotient is[tex]\frac{7-24i}{25}[/tex]
Step-by-step explanation:
Given is a complex number as 4-3i
We have to find the quotient when divided by its conjugate
Its conjugate is
[tex]4+3i[/tex]
When divided we have
[tex]\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}[/tex]
(to simplify the above)
=[tex]\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}[/tex]
Quotient is [tex]\frac{7-24i}{25}[/tex]
Answer:
7/25 - 24/25i
Step-by-step explanation:
Rebecca gives gifts to 12 employees. Each gift is in a box 12 inches by 10 niches by 3 inches. How much wrapping paper does Rebecca need to completely cover the boxes?
A. 360in squared
B. 1,720in squared
c. 4,464in squared
D. 14,400 in squared
Giving brainiest to the most accurate answer. (please include your work)
Answer:
C is the answer. C= 4,464in squared.
Step-by-step explanation:
All you would have to do is multiply all the numbers together and then choose your answer
Rebecca needs 4,464 square inches of wrapping paper to completely cover the boxes.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Each box has six sides, and the dimensions of each side are:
12 x 10, 12 x 10, 12 x 3, 12 x 3, 10 x 3, and 10 x 3 inches.
The total surface area of each box is:
2(12 x 10) + 2(12 x 3) + 2(10 x 3) = 240 + 72 + 60
= 372 square inches.
Since there are 12 boxes, the total surface area of all the boxes is:
= 12 x 372
= 4,464 square inches.
Therefore,
Rebecca needs 4,464 square inches of wrapping paper to completely cover the boxes.
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Gloria Trench checked her gas mileage and found that she had used 16.6 gal of gas to travel 372 mi. At this rate, how many gallons will she use to travel from San Francisco to Washington, D.C., a distance of 2,850?
Using the rate of miles per gallon for Gloria's car, we calculated that she will need approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C.
Explanation:To solve this problem, we'll use the principle of ratios.
First, we find the rate of miles per gallon for Gloria's car by dividing the distance travelled by the gallons used:
372 miles ÷ 16.6 gallons = 22.4 miles per gallon
With this information, we can calculate how many gallons Gloria will need to travel from San Francisco to Washington D.C., which is a distance of 2850 miles:
2850 miles ÷ 22.4 miles per gallon = 127.2 gallons
So, Gloria will use approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C., at her current rate.
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Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in hour?
Samantha can pot 8 plants in one hour.
To calculate how many plants Samantha can pot in one hour, we need to determine the rate at which she pots plants. She currently pots 12 plants in 1 1/2 hours, which is equal to 1.5 hours.
To find the rate, we divide the number of plants by the number of hours:
12 plants /1.5 hours=8 plants per hour
Therefore, Samantha can pot 8 plants in one hour.
Alcia received a $75 gift certificate for her birthday. She went to a boutique to buy some T- shirts at $7 each and some socks for $2.50 a pair. If T represents the number of T-Shirts, and S represents the number of pairs of socks she bought, write an inequality that would determine the number of T-shirts and pairs of socks she could buy. HURRY PLEASE
T represents the number of T-Shirts
S represents the number of pairs of socks she bought
Each T-shirt cost $7, so 'T' T-Shirts will cost 7T
Each Pairs of socks cost $2.5, so 'S' pair of socks cost 2.5S
[tex] Total \; cost\; =\; T-shirts \; cost \; +\; Pair \; of \; socks\; cost \\ \\ Total \; Cost \; =\; 7T+2.5S\\ \\ [/tex]
Total cost should be less than or equal to 75 dollars.
Conclusion:
The inequality that would determine the number of T-shirts and pairs of socks she could buy is given below:
[tex] 7T+2.5S\leq 75 [/tex]
What is the value of x? (The shape is a rectangle with the top side labelled 40 and the bottom side labelled 5x + 10)
Enter your answer in the box.
**I got 26)
x = 26
how do you solve twelve less than the quotient of a number and 7 is -2
Remark
One of the things you need to do is learn to read phrase by phrase.
What is the quotient of a number and 7? That meas you have a number, x, and it is divided by 7. What you do that the answer you get is the quotient.
x/7 is what you know so for. Now the first part says you take 12 away from that.
x/7 - 12 is what you have after doing that.
The result you get is - 2
x/7 - 12 = - 2 Add 12 to both sides
x/7 - 12 + 12 = - 2 + 12
x/7 = 10 Now multiply by 7
x = 10 *7
x = 70 <<< Answer the number is 70
Laura’s cell phone service costs $65 per month, plus an additional $0.10 per text message sent. The table below shows the cost for Zach’s cell phone service based on the number of texts messages he sends. How much cheaper is Zach’s cell phone service than Laura’s when no text messages are sent?
When no text messages are sent, Zach's cell phone service is $55 cheaper than Laura's each month.
Explanation:Laura's cell phone service costs $65 per month regardless of how many text messages she sends. On the other hand, Zach's cell phone service cost is represented by the variable equation $10 = $2× QRT + $.05 × QPC. However, since no text messages are sent in this scenario, the number of text messages (QPC) is 0. Therefore, all the terms in the equation that involve QPC becomes zero. Hence, Zach's cell phone service costs $10 per month when no text messages are sent. So if we compare Laura's cell phone costs to Zach's without sending any text messages, Zach is paying $65 - $10 = $55 less than Laura each month.
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Amber completed a 25-kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Between which 2 whole numbers does the distance she ran each hour lie? Draw a visual model to find the distance she ran each hour.
You don’t have to do the last part but it’d be great if you did
The distance she ran each hour is between 8 and 9
How to determine the whole numbers?The distance is given as:
Distance = 25 km
The time is given as:
Time = 3 hours
The speed is then calculated as:
Speed = Distance/Time
So, we have:
Speed = 25km/3 hours
Divide
Speed = 8.33 km/hr
8.33 is between 8 and 9
Hence, the distance she ran each hour is between 8 and 9
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What is the 32nd term of the arithmetic sequence where a1 = −33 and a9 = −121? −396 −385 −374 −363
The formula to find the general term of an arithmetic sequence is,
[tex] a_{n} =a_{1} +(n-1)d [/tex]
Where [tex] a_{n} [/tex]= nth term and
[tex] a_{1} [/tex] = First term.
Given, a9 = −121. Therefore, we can set up an equation as following:
[tex] -33+(9-1)d = -121 [/tex] Since, a1 = -33
- 33 + 8d = -121
-33 + 8d + 33 = -121 + 33 Add 33 to each sides of the equation.
8d = -88.
[tex] \frac{8d}{8} =\frac{-88}{8} [/tex] Divide each sides by 8.
So, d = - 11.
Now to find the 32nd terms, plug in n = 32, a1 = -33 and d = -11 in the above formula. So,
[tex] a_{32} = -33 +(32 -1) (-11) [/tex]
= -33 + 31 ( -11)
= - 33 - 341
= -374
So, 32nd term = - 374.
Hope this helps you!
Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all
Final answer:
Ken has a total of 54 marbles in all.
Explanation:
To calculate the total number of marbles Ken has, we need to multiply the number of colors of marbles by the number of marbles of each color. Ken has 6 different colors of marbles and 9 marbles of each color. To find the total, we perform the multiplication:
6 colors imes 9 marbles per color = 54 marbles.
Hence, Ken has a total of 54 marbles in all.
Choosing a graph to fit a narrative
I WILL GIVE BRAINLEST. Use the irregular polygon below. show all work.
a. find the perimeter.
b. find the area.
A 15 oz can of peaches costs $1.99 and a 24 oz can of peaches cost $2.55. How much is the price per ounce of the 15 oz can of peaches
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?
[tex] |\Omega|=12\cdot11=132\\
|A|=4\cdot2=8\\\\
P(A)=\dfrac{8}{132}=\dfrac{2}{33}\approx6\% [/tex]
Answer:
2/33
Step-by-step explanation:
Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .
∠1 and ∠2 are supplementary angles.
∠2 and ∠4 are vertical angles.
m∠1=120°
What is the measure of ∠4 ?
a.30°
b.60°
c.90°
d.120°
please help i will mark brainliest
Answer:
" 60° " .
Step-by-step explanation:
a) Wilma used to make 10.50 per hour, but then she got an 8% raise. How much does Wilma make per hour now?
1) $11.00
2) $11.14
3) $11.34
4) $11.54
b) You went to the store and bought some DVDs. The cost of the DVDs was 45.80. The sales tax is 5%. How much is your total cost?
1) $48.09
2) $48.19
3) $48.29
4) $48.39
c) What is 2/3 of 30?
1) 10
2) 15
3) 20
4) 25
d) Arrange in order from least to greatest: 1/2, 3/4, 5/7, 13/14
1) 1/2 < 3/4 < 5/7 < 13/14
2) 1/2 < 5/7 < 3/4 < 13/14
3) 3/4 < 5/7 < 13/14 < 1/2
4) 13/14 < 1/2 < 3/4 < 5/7
e) Which property is demonstrated by this equation? 3(1 + 2) = (1 + 2)3
1) Commutative property
2) Associative property
3) Distributive property
f) Which property is demonstrated by this equation? 2 + 3 = 3 + 2
1) Commutative property
2) Associative property
3) Distributive property
g) Which property is demonstrated by this equation? 3 • (1 • 2) = (3 • 1) • 2
1) Commutative property
2) Associative property
3) Distributive property
please answer fast
LM=7, LN=10, MN=5, What can you conclude about the angle measures
Given the lengths stated, we conclude that triangle LNM is a right triangle. Angle LNM would be the right angle, and angles NML and NLM can be calculated with trigonometry if necessary.
Explanation:Given the lengths of triangle LNM with LM = 7, LN = 10, and MN = 5, we can infer that this triangle is a right triangle. This is concluded through the use of the Pythagorean theorem, which defines that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. Specifically, in this case, we can observe that 10² (LN) equals to 7² (LM) + 5² (MN), because 100 equals 49 + 25. Consequently, since LN is the hypotenuse, angle LNM is the right angle, and angles NML and NLM can be found using trigonometric functions if needed.
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Jose decided to walk the 9 3/10 mi from his house to the beach. in the first hour he walked 3 4/5 mi. in the second hour he walked 2 9/10 mi. how much farther did he have to go?
Match the pre-image, and its clockwise rotation, with the coordinates of its image. 1. (5, 2); 90° (-2, -5) 2. (5, 2); 180° (2, -5) 3. (5, 2); 270° (-2, 5) 4. (-5, 2); 90° (5, 2) 5. (-5, 2); 180° (-5, -2) 6. (-5, 2); 270° (2, 5) 7. (-2, 5); 90° (-5, 2) 8. (5, -2); 180° (5, -2)
Answer:
(2,5) = (-5,2); 90°
(2,-5) = (5,2); 90°
(-2,-5) = (-5,2); 270°
(5,-2) = (-5,2); 180°
(-2,5) = (5,2); 270°
(5,2) = (-2,5); 90°
(-5,2) = (5,-2); 180°
(-5,-2) = (5,2); 180°
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Hope this helps!
∵∅Levi∅∵
∵ФωФ∵
Select the graph of the solution. Click until the correct graph appears.
|x| = 3
Answer:
First picture
Step-by-step explanation
the graph with the open circle on -3 and 3 and pointing to the opposite to each so -3 the arrow is pointing this way <----- for 3 the arrow is pointing this way ------->
Madeline uses fewer than 5 coins to pay 60 cents. Draw coins to show one way she could pay 60 cents.