Write and solve an equation to find the measure of angle B.

Write And Solve An Equation To Find The Measure Of Angle B.

Answers

Answer 1

Answer:

  ∠B = 40°

Step-by-step explanation:

The given angle relations can be expressed in two equations.

__

setup

  A + B = 90° . . . . . . . . angles are complementary

  A×(1 -20%) = B . . . . . B is 20% smaller

__

solution

Using the second equation to substitute for B in the first equation, we get ...

  A + 0.80A = 90° . . . . . . substitute for B

  A = 90°/1.8 = 50° . . . . . collect terms, divide by the coefficient of A

  B = A(0.80) = 40° . . . . find B from A

The measure of angle B is 40°.


Related Questions


Jenny, Kenny, and Penny together have 51 marbles. Jenny has m marbles,
Kenny has double as many marbles as Jenny has, and Penny has 12.

Answers

Answer:

m = 13

Step-by-step explanation:

51 = m + 2m + 12

3m = 39

m = 13

i need help with math

Answers

Answer:

Step-by-step explanation:

7) The lengths of the tangent from an external point to a circle are  equal.

      2x - 1 = x + 10

           2x = x + 10 + 1

           2x = x + 11

      2x -x  = 11

             [tex]\sf \boxed{\bf x = 11}[/tex]

8) Radius : XC

    Chord: CB

   Diameter : AB

  Name of the circle: X    {a circle is named by its center}


1. Elissa is buying a new car. She has an excellent credit score of
822. She is able to get a low interest rate of 2.25% and will
have a down payment of $4,000 on a car that costs $19,500.
Calculate her monthly payments for a 5-year loan.

Answers

Answer:

$273.38 per month

Step-by-step explanation:

Monthly Payment Formula

[tex]\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}[/tex]

where:

PMT = monthly paymentP = loan amounti = interest rate per month (in decimal form)n = term of the loan (in months)

Given:

P = $19,500 - $4,000 = $15,500i = 2.25% / 12 = 0.0225 / 12n = 5 years = 60 months

[tex]\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}[/tex]

[tex]\implies \sf PMT=273.3788438[/tex]

[tex]\implies \sf PMT=\$273.38[/tex]

Ariana has $40 to spend buying books online. Each book costs $8.50. It costs $4.00 to ship a package of books. How many books can Ariana buy?​

Answers

Answer:

4

Step-by-step explanation:

First subtract the amount of shipping

40-4

36

She has 36 dollars to spend on books

36 divided by 8.50

4.235294118

Round down since she cannot buy part of a book

She can buy 4 books with some money left over

Miles can type 60 words per minute. Let w represent the total number of words Miles can type and m represent the number of minutes he types. Which equation best represents this?

Answers

Answer:

The correct answer is w = 60m

Step-by-step explanation:

NATION
Which of the following statements are true? Check all that apply.

Answers

1 2 and 5 are the correct answers

Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according to the amount of time they worked. How much is Erics share of the money?

Answers

Answer:

$33.25

Step-by-step explanation:

Taking Eric's hours as a ratio to the total hours :

3.5 : 3.5 + 23.5 : 5.53.5 x 2 = : 5.5 x 27 : 11

Multiply the ratio into the amount paid :

52.25 x 7/114.75 x 7$33.25

Eric's share of the money is $33.25

Answer:

$33.25

Step-by-step explanation:

The combined, total number of hours they worked is

3.5 hours + 2 hours = 5.5 hours

The total pay is $52.25

The pay rate is $52.25/(5.5 hours) = $9.50/hour

Eric worked 3.5 hours.

Pay = 3.5 hours × $9.50/hour = $33.25

Help me on this question please!

Answers

Answer:

9,12,19

Step by step explanation:

The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?​

Answers

Answer:

1 / 2

Step-by-step explanation:

Total times spun = 4

Probability of getting gray 2 times = 2 / 4 = 1 / 2

Valerie is wrapping a box with wrapping paper the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. How much wrapping paper is needed to cover the box?

Answers

The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

What is the Surface Area of a Rectangular Box?

Surface area = 2(wl + hl + hw).

Volume = lwh.

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

Learn more about the surface area of rectangular box on:

https://brainly.com/question/13103197

#SPJ1

domain and range of this graph

Answers

Answer:

  c.  D = {x | x ≥ -3}, R = {y | y ≥ 0}

Step-by-step explanation:

The domain is the horizontal extent of the graph. The range is its vertical extent.

__

We observe that point (-3, 0) is a point on the graph, so x=-3 is included in the domain, and y=0 is included in the range. The only answer choice that has the "or equal to" case included for both x and y is ...

  D = {x | x ≥ -3}, R = {y | y ≥ 0}

Identify the function that best models the given data

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D

[tex]\bold{SOLUTION:}[/tex]

Answer:

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

41 − 18 = 23

67 − 41 = 26

82 − 67 = 15

69 − 82 = −13

17 − 69 = −52

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

26 − 23 = 3

15 − 26 = −11

−13 − 15 = −28

−52 − (−13) = −39

Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.

Third Differences

−11 − 3 = −14

−28 − (−11) = −17

−39 − (−28) = −11

The third differences are approximately the same so we will use a cubic function to represent the data.

Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

writing math equation plspls help

Answers

Answer:

Varies based on the amount of games played.

Step-by-step explanation:

t = total cost

g = games played

For one game, t = 25

For an unknown amount of games, t = 25g

The total cost is the amount of games played times 25.

EXPLAIN how to find surface area of a rectangular prism. Be specific and use examples.

Answers

How To Find the surface area for a normal prism

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.

Explanation: To find surface area of the rectangular prism.

The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Shapes.

Right rectangular prisms or cuboids are all around us. A few examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops. Non-examples of a right rectangular prism: This shape is a prism but its top and base do not have right angles in the shape.

HOPE THIS HELPS,

CoDBiarex

NEED HELPPPP PLSSSSS !!!

Answers

Answer: The answer is choice b .

Step-by-step explanation: HOPE IT HELPS .

A circle with a radius of 6 m has an arc of 4pi m. What is the measure of the central angle?
A) 120°
B) 90°
150°
D) 60°

Answers

Answer:

I think the answer is A 120°

WILL GIVE BRAINLIEST

How would the mean change if the number 4 were added to the set?

3, 3, 2, 2, 2, 8, 8, 4

Question 4 options:

decrease


increase


no change

Answers

Answer:

No Change

Step-by-step explanation:

If you add all of the numbers, you get 32.  When you divide it by how many numbers there were, you get 4.  When you add 4 to 32, you get 36 and since you added one more number, you need to divide 36 by 9, which still makes 4.

write a real-world problem that can be represented by the equation x+500=4732

Answers

Answer:

7858

Step-by-step explanation:

hope it helps you bye

Please Help i Don't Understand

Answers

Answer:

B is correct because it has the exact same numbers

Fin find the 31st term in -3, -5, -7, -9

Answers

Answer:

-63

Find common difference:

-5 -(-3)-5 + 3-2

nth term:

a + (n-1)(d)      [where a is first term, d is common difference]-3 + (n-1)(-2)-3 -2n + 2-2n -1

So 31st term:

-2(31) -1-63

True or False? The best answer gets brainliest.

Answers

Answer:

false, true, fale

Step-by-step explanation: hi

1: False. 2 is the x coordinate. (X,Y)
2: True. The X axis is ALWAYS horizontal. The Y axis is ALWAYS vertical.
3: False. (0,0) is the only origin when it comes to coordinate planes.

A stack of index cards contains 2 pink cards, 3 green cards, and 1 yellow card, Nancy will pull 3 cards from the stack, one at a time without looking. She will NOT replace a card before pulling the next card. What is the probability that she will draw a yellow card, then a green card, then a pink card?

Answers

Answer:

1/20

Step-by-step explanation:

This is conditional probability there the number of possible outcomes reduces everytime a card is drawn

Therefore probability= 1/6×3/5×2/4=1/20

Which of the following represents the solution set to the equation: x2 + 2x + 26 = 0?
(1) 1 + 10i
(3) -2 + 2iV5
(2) 2 + iv5
(4) -1 ‡ 5i

Answers

Answer:

i think the answer is 4

Step-by-step explanation:

hope it's correct

can someone help me with this problem? thanks!

Answers

Answer:

100m^2

Step-by-step explanation:

All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.

A surveyor is standing 550 feet from the base of a redwood tree in the California Redwood Forest. The tree is 362 feet tall. Sketch a drawing that models the situation and then find the angle of elevation of the top of the tree from the spot where the surveyor is standing.

Answers

Answer:

b

Step-by-step explanation:

B is a answer

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Answers

Answer:

It wont work for me

Step-by-step explanation:

my school computer.

If a1 = 3 and an = (an-1)^2+4 then find the value of a4

Answers

Answer:

Here is the ans hope it helps:)

What is the vertex of the graph shown below? Write your answer in the form
(x,y).

Answers

(-3,-2) because you are finding the point where it starts (vertex)

………………………………………………..

Answers

Answer:

option c, 20

Step-by-step explanation:

Interquartile range is Q3 - Q1

Q3 is the upper end of the box: 35

Q1 is the lower end of the box: 15

35 - 15 = 20

Find the mean, median, and mode of the data set 67, 52, 50, 99, 66, 50, and 57 with and without the outlier. which measure does the outlier affect the most?

Answers

Answer:

Mean - 63

Median - 57

The Mean affects the outlier the most.

Step-by-step explanation:

Mean is where u add all the numbers up and then divide them by how many are there. So  50 + 50 + 52 + 57 + 66 + 67 + 99 = 441. There are 7 numbers so 441/7 which equals 63. So mean is 63.

For median u order them least to greatest which is 50,50,52,57,66,67,99. The median is the middle number of this set which is 57.

Outlier is the first number which is 50. So the mean is the answer for which measure does the outlier affect the most bc 63 is bigger than 57 the median. So basically which is a more difference.

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