Use the diagram to find the angle measures that satisfy each case. Find the measures of all 4 angles if m<2-m<1=30 degrees

Use The Diagram To Find The Angle Measures That Satisfy Each Case. Find The Measures Of All 4 Angles

Answers

Answer 1

The measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

How to use the diagram to find the angle measures that satisfy each case?

The diagram that completes the question is added as an attachment

From the diagram, we have

<1 + <2 = 180 degrees --- supplementary angles

Given that

<2 - <1 = 30 degrees

Add the above equations

So, we have

2<2 = 210

Divide both sides by 2

<2 = 105

Substitute <2 = 105 in <2 - <1 = 30

So, we have

105 - <1 = 30

Evaluate

<1 = 85

Also, we have

<3 = <1

<4 = <2

This means that

<3 = 85

<4 = 105

Hence, the measures of the angles are <1 = 85, <2 = 105, <3 = 85 and <4 = 105

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Related Questions

Calvin bikes to school and back home. When Calvin rides his bike to school, he bikes 10.54 miles round trip in one day. this week, Calvin rode his bike to school and back Monday through Thursday. on Friday, he rode his bike to school but received a car ride home from his friend. how many total miles did Calvin bike this week.



A: 42.16 miles


b: 57.97 miles


c: 52.7 miles


d: 47.43 miles

please help me:(

Answers

Answer:

What digital/technological features will your futuristic bath/shower time utilize?

Area Model Multiplication
Timothy saves $176 a month. Timothy saves $29 less each month than Camden. How much will
Camden save in 3 years?

Answers

Timothy's savings: $176/month
Camden's savings: $205/month

(205)(36) = $7380

Explanation:
Find Camden's monthly savings by adding $176 and $29 to find how much Camden saves, $205.

3 years is the same as 36 months, so the equation then becomes:
(205)(36), which gives you the answer of $7380.

If 8x+48x+4 is 10 less than 54 , what is the value of 2x2x ?

Answers

Answer:

x=5/7 so (2x + 2x) = 2 6/20

Step-by-step explanation:

48x + 8x + 4 = 44

56x + 4 = 44

44 - 4 = 40

40/56 = 5/7

ABC Corporation has received an invoice for $4,500 with terms of 3/15, n/50. If ABC pays the invoice on the seventeenth day, what is the effect on the Cash account and will the Cash account be debited or credited?

Answers

If ABC pays the invoice on the seventeenth day then the Cash account is debited or credited will be $4500.

What is the trade discount?

A quantity or percentage is taken off the list price of a good that is permitted by a producer, a distributor, a reseller, or by one business to someone else in the same industry.

ABC Corporation has been paid a sum of $4500. Given that the payment takes place on the seventeenth day, or after the reduction period of fifteen days, it must be made in full cash on that day. It will thus be $4500 on that day. As a result, $4500 will be deposited into the Cash Account.

The Cash account is debited or credited will be $4500.

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Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $740.00 each on a weekly basis. What is the
employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare
tax is 1.45% of all wages.)
o $660.00
o $740.00
o $890.68
o $11,396.97

Answers

Based on the gross pay to the employees of Family Flowers, the employer's share of total Social Security and Medicare taxes for the first quarter is $11,396.97

How to find the social security and medicare tax?

First, find the gross pay for all 17 people in the first quarter:

= ( (660 x 14) + (740 x 3)) x 12 weeks in quarter

= (9,240 + 2,220) x 12

= $137,520

The social security tax is paid up to $128,400:

= 6.2% x 128,400

= $7,960.80

The Medicare tax is:

= 1.45% x 137,520

= $1,994.04

The total Social Security and Medicare taxes:

= 7,960.80 + 1,994.04

= $11,396.97

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Solve for e: -2e - 9 = 12m

Answers

Answer:

-2e-9=12m

-2e=12m+9.

e= -(12m+9)/2

Irina ran 1/2 in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?

Answers

Answer:

Step-by-step explanation:

14 mins

this is because if we divide 2 but 1/2 you would get 4

since she can run 1/2 a mile in 3 1/2 mins

we should multiply the 3 1/2 buy 4

this would lead to the answer 14

How much will 5% yards cost of fabric be at $10.99 a yard?

Answers

If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

How to determine the cost of the fabric?

The given parameters are

Cost of fabric = $10.99 per yard

This means that the unit rate of a yard of fabric is $10.99

So, the cost of a 5% yard cost of fabric would be

Cost = 5% * Cost of fabric

The above equation becomes

Cost = 5% * 10.99

Evaluate the product

Cost = $0.55

Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55

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Cans of soup are stocked in 1,250 sq. ft. of warehouse space. If each can requires 2 1/2 sq. ft. of space, how many cans of soup can be stored in this space?

Answers

Answer:

500 cans

Step-by-step explanation:

Let c be the number of cans.

2.5c = 1,250

c = 500 cans

Which list shows the runner's in order fastest to slowest.

Answers

Answer:

C

Step-by-step explanation:

First you need to convert the fractions into decimal form.

Joe-12 1/2 becomes 12.5

Ellen-12.09

Steve-12.4

Patty-12.8

Now put these in order from fastest to slowest

12.09,12.4,12.5,12.8

Answer:

12.8

12 1/2

12 2/5

12.09

is least from greatest

Question
Graph the image of the given triangle, translated 4 units to the right and 5 units down.



Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-5, -3), (-1, 3), (2, -1), (-5, -3).

Answers

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Swimming pool A holds 2^15 gallons of water. Swimming pool B hold 2^13 gallons of water. How many times as many gallons does pool A holds than pool B?​

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{2^{15}}{2^{13}}=2^{15-13}=2^2=4[/tex]

Tuff question I need help

Answers

The correct expression is  6^(-11).

What are exponents and powers?

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given:

6^(-5) / (6^2)^3

Now, using laws of exponents

(a^m)^n = a^(mn)

6^(-5) / (6^6)

again using laws of exponents

a^m/ a^n= a^(m-n)

So, 6^(-5-6)

=6^(-11)

Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).

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A truck rental is $30 plus $.40 /mi. Find out how many miles Ken traveled if his bill was $58.80 .

Answers

Answer:

72 miles

Step-by-step explanation:

Let x equal the miles Ken travelled; this is what we need to find.  Our equation is

$30 + $.40x = $58.80

Subtract $30 from both sides

$.40x = $28.80

Divide both sides by $.40

72 miles

According to the graph below, what is y when x is 4?
y-axis
10
9
8
2
2
3
x-axis
4
5 6

Answers

The numeric value of the function when x = 4 is of: y = 5.

What is the missing information?

The graph is not given, but researching the problem on a search engine, it is found that a graph that passes through these following points is given by:

(1,10), (2,8), (3,6), (4,5), (5,2), (6,1).

How to find the numeric value of a function given it's graph?

The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.

From the given points in the graph, that we listed in the missing information subsection, we have that the function passes through point(4,5), hence:

The horizontal axis is of x = 4.The vertical axis is of y = 5.

Hence:

The numeric value of the function when x = 4 is of: y = 5.

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Find seven ordered pairs to the equation y=x²-2. Then determine its graph.
X
-3

Answers

The graph of y = x² -2 is a parabola

To find the seven ordered pairs of the equation y = x²-2, we have to find out the value of y by assuming the different values of x that are 0,1,-1,2,-2,3 and -3which gives us seven different coordinates

Let put x=0, y= -2

Let put x=1, y= -1

Let put x=-1, y= -1

Let put x=2, y= 2

Let put x=-2, y= 2

Let put x=3, y= 7

Let put x=-3, y= -7

If we plot all the coordinates for the value of x and y (0,-2),(1,-1),(-1,1),(2,2),(-2,2)(3,-7),(-3,7)  and connect all the dots we will get a upward facing parabola

Hence, The graph of y = x² -2 is a parabola

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step by step solution for 4(x-3)=0.5x+2

Answers

Answer:

x = 4

Step-by-step explanation:

4(x-3) = 0.5x +2

Multiply both sides by 10

40(x-3) + 5x + 20

Simplify (multiply 40 by x-3)

40x - 120 = 5x + 20

Add 120 to both sides

40x = 5x + 140

Subtract 5x from both sides

35x = 140

Divide 35 on both sides

x = 4

PLEASE ILL BE GIVING BRAINLY TO WHOEVER ANSWEERS FAST!!! Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, and the variable.

Answers

A problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

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Answer:

problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

Step-by-step explanation:

problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.

This will be;

y = 5x + 3

where y = total cost

x = number of miles

y = 5x + 3

y = 5(10) + 3

y = 50 + 3

y = 53

The total cost is $53.

1. Write a function that describes the area of the water puddle on the floor as a function of its
radius. Use function notation.

Answers

The area of the floor water puddle as a function of radius is 6860. The function notation is mgt∆x = (20 0.5t)g4∆t.

What is meant by function notation?

Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x).

Therefore,

The bucket moves upward at a rate of 40/10 = 4 meters per minute. If time is measured in minutes, the bucket is x = 4t meters above the ground at time t. Water is dripping out at a rate of 5/10 kg/minute. Because there is initially 20 kg of water in the bucket, there is m = 20 0.5t kg remaining at time t.

Consider the interval of time between t and t + t. During this time, the bucket moves ∆x = 4∆t meters. So the work performed during this interval is

mgt∆x = (20 0.5t)g4∆t,

The bucket is x = 4t meters

and the integral for the total work performed is

[tex]4 g \int_0^{10}(20-0.5 \cdot t) d t \\[/tex]

= [tex]4 g\left(20 t-\left.0.25 t^2\right|_0 ^{10}=700 g=700 \cdot(9.8)=6860\right. \text { joules. }[/tex]

Hence, The area of the floor water puddle as a function of radius is 6860.

The complete question is:

A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 40 meters above the ground. This takes ten minutes during which time 5 kg of water drips out at a steady rate through a hole in the bottom of the bucket. Find the work needed to raise the bucket to the platform

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URGENT
The area of rectangle abcd is 28cm^2
What is answer to a and b

Answers

Answer:

The answer should be a=10 and b= 4

Step-by-step explanation:

(x+6)(x+4)=28

x^2 +10x + 24 =28

x^2 + 10x= 28-24

x^2 +10x =4

same as

x^2 + ax = b

Solve please need it quick

Answers

Answer: The answer for for angle 3 is 112

Step-by-step explanation: Angle 2 is opposite of Angle 3 which means they equal!

Hope this Helps :D

Angle 3 is 112 degrees because of opposite angles

Use the inverse relationship to complete the expression.
|fi= √√-1₁
√√-1, then ² = |
N
DONE

Answers

The square of the imaginary number i is -1.

What are imaginary numbers?

If you multiply a real number by the imaginary unit I which has the characteristic i2 = -1, you get an imaginary number. The imaginary number bi is squared as -b2. Zero is, by definition, both real and fictional.

A number that results from multiplying a non-zero real number by the iota I is an imaginary number. I in this case Equals (-1) or i2 = -1. Finding the square root of negative integers is made easier by using these values. -4i, 6i, I etc. are some instances of imaginary numbers.

i is an imaginary number where,  [tex]i=\sqrt{-1}[/tex]

And so, [tex]i^{2}=-1[/tex]

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Please answer this my grade depends on it, also I have other problems like these so please feel free to answer them if you would like.

Answers

Answer:

-4,-3 and 4,5

Step-by-step explanation:

Find the value of y. (7x-7) 63 (3x + 45) (-6)​

Answers

Answer:

b

Step-by-step explanation:

just did the test like 20 mins ago good look

The circumference of a circle is 16π ft. What is the area, in square feet? Express your answer in terms of \piπ.

Answers

Answer: A≈20.37

Step-by-step explanation:

There's brainly

A=C2

4π=162

4·π≈20.37183

Write the decimal as a fraction or a mixed number in simplest form

-0.8

Answers

Answer:

-4/5 this is because 5 can't be simplified and 4/5 is like 8 out 10 but simpler and has a negative.

PLEASE HELP ASAP 30 POINTS!

Answers

Answer:

-4/3

Step-by-step explanation:

Answer:-4/3

Step-by-step explanation:

Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

Answers

The true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the true statement?

The equation of the function is given as

g(x) = 5x^2 - 10x

Differentiate the above equation

So, we have

g'(x) = 10x - 10

Set to 0

So, we have

10xx - 10 = 0

Divide through by 10

So, we have

x - 1 = 0

Solve

x = 1

The above is the x coordinate of the vertex and the axis of symmetry

Hence, the true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal

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Answer:

g(x) = 5x^2 − 10x is that both values are equal.

Step-by-step explanation:

2023

Which has a value between −13 and −14 ?

Answers

Answer:

numbers between -13.001 and -13.999

You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?

Answers

The most cost-effective choice for buying the item is buying it at a 10 percent discount without sales tax.

A percent discount on a product means that the price of the product is reduced by that percentage.

The full question is that, You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?.

a. using a paid membership card to buy it at a 10 percent discount.

b. buying it online at a 10 percent discount with a $5 shipping charge.

c. buying it at a 10 percent discount without sales tax.

we will calculate the final price in each case to analyze the most cost-effective choice,

In in first case, when using a paid membership card to buy it at a 10 percent discount. we get,

10% of $100 = 10/100×100 = $10

cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card, therefore the price increases. ( price in first case)

In second case, when buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95 ( price in second case)

In third case, when buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. ( price in third case which is minimum as compared to rest of the cases)

Therefore, buying the item at a 10 percent discount without sales tax is the most cost effective method since there is no other cost involved.

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If the joust was a joust of war to settle a dispute, a sharp lance was used, and the loser often died. In a regular tournament, the losing knight lost only his dignity, which was considered a tragic loss at the time.Select one:a.Knights were trained to battle on horseback from a very early age.b.Jousting started out as a competition played on foot.c.The price of losing a joust or tournament could be very high.d.all of the above Please show how u got the answer (due: at 11:59) Which of the following is equivalent to a real number? A. (-324)4B. (-6745) C. (-2346)D. 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