(20 POINTS) One side of a trapezoid is extended and the dotted line forms a right angle with the extended line.

(20 POINTS) One Side Of A Trapezoid Is Extended And The Dotted Line Forms A Right Angle With The Extended

Answers

Answer 1

Answer: p = 115* (degrees)

Explanation:

What we know:

The trapezoid forms a right triangleThe right triangle has the angles 25*, 90*, and an unknownThe internal angles of a triangle add up to 180*The unknown value p is a supplementary angle to the right triangle's unknown angle

How to solve:

    By finding the degree of the 3rd angle in the right triangle, we can use the rules of supplementary angles to find the value of p.

    We will use D to represent the total amount of degrees, which will equal 180*. X will represent an unknown angle. An asterisk represents the degree symbol.

Process:

Missing right triangle angle

Set up equation                                                     D = 25 + 90 + x

Substitute                                                            180 = 25 + 90 + x

Simplify                                                                180 = 115 + x

Isolate variable                                                   -115    -115

Solution                                                               65* = x

Value of p using supplementary angles

Set up equation                                                     D = x + p

Substitute                                                           180 = 65 + p

Isolate variable                                                 -65     -65

Solution                                                              115* = p

Answer: p = 115*

Check:

We can do a check based on estimation. Assuming that the trapezoid and triangle form a box with all 90* corners and that p = 115*, then adding p and all of the other trapezoid angles should result in 360*

Firstly, we need the values of these 4 angles.

The first angle, labeled p, should be 115*. If our equation is untrue, then this value will fail the check.

The second angle will be the one at the bottom-left, which is 90* according to our box statement.

The third angle is the one located at the bottom-right, which is also 90* from the box statement.

The fourth angle is not 90* or 115*, but we can solve its value.

Because we have stated that the right triangle and trapezoid form a box with 4 90* corners, the sum of the fourth angle and the 25* from the right triangle must form a right angle. Let's find the value:

D = 25 + x

90 = 25 + x

(90 = 25 + x) - 25

65* = x

Therefore, the fourth angle has 65*

Now, adding the degrees from all 4 angles should result in a total of 360*. If it does, then our value of p = 115* will pass the check.

D = 90 + 90 + p + x

360 = 90 +90 + 115 + 65

360 = 180 + 180

360 = 360

Therefore, p = 115*

Answer 2

Answer:

C

Step-by-step explanation:

A and B are out because we can already tell that 65 and 75 are smaller than the 90 degrees whichs this angle is even higher than.If you see or use a protrater you can see it seems more likely to 115 because 155 would be much more open.


Related Questions

help me pls thank you

Answers

Answer:

[tex]216^3[/tex]

Step-by-step explanation:

l*w*h

[tex]6*3*12=216^3[/tex]

Answer: 216

Step-by-step explanation: LxWxH = 12 x 3 = 36 x 6 = 216

Did this help u?

Jake has 900 cm³ of material. He uses 14.5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4.
How much more material does Jake need in order to make the second prism?

Select from the drop-down menu to correctly complete the statement.

Jake needs an additional (13.5, 28, 42.5)
cm³ of material to make the second prism.

Answers

Jake needs an additional 42.5 cm³ of material to make the second prism.

Amount of material available

Since Jake has 900 cm³ of material and he uses 14.5 cm³ to make a right triangular prism. The amount of material available to make the second prism is V = 900 cm³ - 14.5 cm³

= 885.5 cm³

Scale factor

Now, the second prism is gotten by ditaion of the first prism by a factor of 4.

Since we have volume, (scale  factor)³ = volume of second prism/volue of first prism

Volume of second prism

So, volume of second prism, V' = (scale factor)³ × volume of first prism = 4³ × 14.5 cm³ = 928 cm³

Amount of material more needed

So, the amount of material more needed to make the second prism is V"' = V' - V = 928 cm³ - 885.5 cm³

= 42.5 cm³

So, Jake needs an additional 42.5 cm³ of material to make the second prism.

Learn more about amount of material here:

https://brainly.com/question/26671861

Answer:

42.5 cm³ for K12

Korina's window store made a mosaic for the community center. The mosaic had a 7 × 7 array of different color square tiles. If each tile is 1 3/4.what is the area in a mixed number

Answers

Step-by-step explanation:

[tex]1 \frac{3}{4}[/tex] converts to 1.75

7*1.75=12.25

12.25*12.25=150.0625

150.0625=[tex]150 \frac{1}{16}[/tex] square units

Answer:

150.0625= square units

Ste-by-step explanation:

converts to 1.75

7*1.75=12.25

12.25*12.25=150.0625

150.0625= square units

Solve for x in the diagram below

Answers

Answer:

80 degrees

Step-by-step explanation:

Since we know that a straight line is 180 degrees and 100 degrees and x lie on the same line:

100 + x = 180
x = 80
Hope this helps :)

Answer:

80 degrees

Step-by-step explanation:

In your own words define “reciprocal” and describe how to find the reciprocal of a fraction. Use 3/6 as an example in your explanation.

Answers

Answer:

reciprocal- flipping the denominator and numerator

Step-by-step explanation:

3/6 as a reciprocal is 6/3 just simply flip the numbers

Answer:

reciprocal- flipping the denominator and numerator

Step-by-step explanation:

how do i do this! i need help fast!

Answers

The answer is irrational

I need a quick answer please, I will give Brainliest

Answers

Answer:

Percent: 140, 275, 0.08

Fraction: 16/25, 1 2/5, 2/25

Decimal: 0.64, 12.5, 0.125, 2.75

Step-by-step explanation:

0.08 = 8%

Brainliest! Please answer quickly!
___________________________

Answers

Answer:

N = 85

Step-by-step explanation:

(236 + 542)+N = 863

778 + N = 863

N = 863 - 778

N = 85

Answer:

N=85

Step-by-step explanation:

(236 + 542) + N = 863

Go in order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

236 + 542= 778

now we have

778+N = 863

(778 plus a number equals 863)

to find the number (N) we can subtract 778 from 863.

863-778=85

so,

N = 85

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

Kallmekrish

A family makes gumbo to serve during a Jazz Fest. The gumbo recipe requires twice as many cups of chopped tomatoes as diced onions. Which expression can be used to represent the number of cups of diced onions based on the number of cups of chopped tomatoes, t?

Answers

Answer:

2t

Step-by-step explanation:

Answer:

2t

Step-by-step explanation:

hope this helps :)

HELP FAST DUE IN LITERALLY 3 MIN!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

62 units²

Area of full rectangle:

L * B(8+3) * (4+6)11 * 10110

Area of not shaded:

6 * 848

Area shaded:

110 - 4862

Somebody help me with this? Please

Answers

Answer:

See the attached image for solutions.

Step-by-step explanation:

X-ray vision to all students ratio:

6:36, which can be simplified to 1:6.

Flight to all students ratio:

8:36, which can be simplified to 2:9.

Flight to inivisibility ratio:

8:36, which can be simplified to 2:3.

Hope this helps! :)

Answer:

X-ray vision to all students: 6:36 = 1:6

Flight to all students: 8:36 = 2:9

Flight to inivisibility: 8:36 = 2:3

Hope this helps!

whats 3 plus 3 times 1

pls jelp i havent been able to get it

Answers

Answer:

6

Step-by-step explanation:

3+3x1=6 when you do math you go by PEMDAS (parentheses, exponents, multiplication,division,addition, and subtraction) always go in the order of PEMDAS. So with this question you do M (multiplication) then you do A(addition). so it will be 3x1=3+3=6 hope this sums it up

20 hm = m

3,412 mm = km

0.25 m = mm

590 mg = g

75cm = m

12.5 m = km

8,808 cm = km

20 hm = mm

1,235g = kg

12 decimeters = dm
deka

20 L = mL

13.6 mL = L

Answers

Answer:

Step-by-step explanation:

20 hm = 2000 m

3,412 mm = 0.003412 km

0.25 m = 250 mm

590 mg = 0.59 g

75cm = 0.75 m

12.5 m = 0.0125 km

8,808 cm = 0.08808 km

20 hm = 2000000 mm

1,235g = 1.235 kg

12 decimeters = 0.12 dam

20 L = 20000 mL

13.6 mL = 0.0136 L

Hope this helps :)

Answer:

See below.

Step-by-step explanation:

Let's review the metric prefixes used in this problem:

m = 1/1000

h = 100

c = 1/100

k = 1000

da (deca) = 10

20 hm = 20 × 100 m = 2,000 m

3,412 mm = 3412/1000 m × 1 km/(1000 m) = 0.003412 km

0.25 m = 0.25 m × 1000 mm/m = 250 mm

590 mg = 590 mg × 1 g / (1000 mg) = 0.59 g

75 cm = 75 × m/100 = 0.75 m

12.5 m = 12.5 m × 1 km / 1000 m = 0.0125 km

8,808 cm = 8,808 cm × 1 m / 100 cm × 1 km / 1000 m = 0.08808 km

20 hm = 20 × 100 m × 1000 mm/m = 2,000,000 mm

1,235 g = 1,235 g × kg/(1000 g) = 1.235 kg

12 dm = 12 dm × 1 m / 10 dm × 1 dam / 10 m = 0.12 dam

20 L = 20 L × 1000 mL/L = 20,000 mL

13.6 mL = 13.6 mL × 1 L /  1000 mL = 0.0136 L

i NEED help with the blank spaces

Answers

A)-9
B) 35,002=-9x+55000 solve for x=2222
A)0.39
C) Substitute x for 21, 10.74

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

A right trapezoid with a top side of 7 feet and a height of 7 feet. The bottom side is extended to the right with 3 more feet.

A. 24.5 square feet
B. 59.5 square feet
C. 70 square feet
D. 147 square feet

Answers

answer is B
area for a trapezoid is [( Base 1 + Base 2 ) * height] /2
which in this case would be [( 7 + 10 ) * 7]/2
(17)7/2
59.5
Ans: B because have 7feet and square feet

i cant figure it out 50 ÷ 3.79

Answers

Answer:

13.1926121372

Step-by-step explanation:

Use a calculator

please answer this asap and please show work.

Answers

So it is C because when you use rise over run, then you just look at the line were the line crosses trough the caskets and then you see that rise is 1 and run is two so it is 1/2 but if you convert the fraction into a decimal, the. It will be 0.5. The b is we’re the line goes trough the y-axis. So y=1/2+4 but you have to convort it into a decimal and it will be C y=0.5x+4. You welcome

tickets and two student tickets cost
$48. Three adult and two student
tickets cost $32. What is the cost for
each student ticket? What is the
cost for each adult ticket?

Answers

The adult tickets cost $8

Find the area of the figure.

Answers

The answer is 900
A= L x W
30x30=900
The answer: 546.75

EXPLANATION:
You’ll subtract the area of the semi circle with the area of the square.
The area of the semi circle is therefore 353.25ft
And the area of the square is 900.
Subtract and you’ll get ur answer!
Ps: use 3.14 instead of 22/7 cus 30 ain’t divisible by 7 :)))

I will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Always start with x so E is above the 3 and is in line with the 2

and do the same with F and G

Answer:

C

Step-by-step explanation:

The tables give the price of a kayak rental from two different companies.

Answers

Answer:

after five hours,

Step-by-step explanation:

I do not know if that is right hope that helps

The answer is after 5 hours.

Hope this helps

can you help me on this please

Answers

Answer:

1.25 or 5/4

Step-by-step explanation:

If g = 5/6 then the expression would be 5/6 + 5/12 and the answer for the expression reduced is 5/4 and in decimal form is 1.25

It’s telling you that g is 5/6 right. So you will just need to plug that in and you have 5/6+5/12 the total will be 1 & 1/4 or 1.25

PLEASE HELP!
A triangular sign has a 45 degree angle angle and a 52 degree angle. Describe how you could find the 3rd angle of the sign

Answers

Answer:

83

Step-by-step explanation:

X + 52+45=180

X=180-97

So, x= 83


-note sorry for getting the question wrong it is now fixed.

Answer:

83

Step-by-step explanation:

triangles are 180º
45 + 52 = 97
180 - 97 = 83

can someone please help me​

Answers

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

[tex]\frac{80-20}{40-10} = \frac{60}{30} = 2[/tex]

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

a group of 20 tourists pay $160 to go on a swamp tour if the cost per person stays the same how much will the tour cost 30 tourists?

$ 180

$ 200

$220

$240

Answers

Answer:

$240

Step-by-step explanation:

20 = $160;

10 = $80

* 3 = 30 =$240

The answer is $240 because 160/20 = 8. That means $8 per person and the you do 8•30 which gets gets u 240.

simplify 5 1/2 - 2 3/4

Answers

Answer:

1

Step-by-step explanation:

5/2-6/4

5/2-3/2

5-3/2

2/2

1

Answer:

Exact form is =11/14 decimal form is =2.75

Step-by-step explanation:

there are different ways to answer but here are two answers

The length of line segment AD is 6.8 cm. The length of line segment AB is 3 cm. The length of line segment BC is 1.6 cm. Find the length of line segment CD.

Answers

Answer:

9.6

Step-by-step explanation:

This is a four side figure which is most likely to be a trapezium.So AD is the hypotenuse,AB is side (a),BC is the height and CD is side (b).

a cast member is selling balloons on main street. he has 4 princess balloon, 5 blue mickey balloons and 1 red mickey balloon. he sells 1 balloon and then another (no replacing). find the probability of selling one blue balloon followed by another blue balloon.

Answers

Answer:

hee-hee!

Step-by-step explanation:

We first have to find how many possible outcomes there are.

We find that out by seeing how many types of balloons are in total.

4 + 5 + 1 = 10

There are 10 possible outcomes.

We then see how many favorable outcomes there are.

There are 5 blue mickey balloons.

That means 5/10 or 1/2.

Then we subtract 1/10 from 5/10.

5/10 - 1/10 = 4/9

We lower the denominator by 1 because the total possible outcomes are also lowered by one.

The probability of the cast member selling another blue balloon after selling the first one is 4/9.

hope this helps :)

Which of the following functions represents a linear function?


Answers

Answer:

f(x) = x

Step-by-step explanation:

it's the only one that is a straight line in a graph

Let’s see F-X bc all the others aren’t right bc they don’t add up like that


HELP

How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution?
Round to nearest tenth if possible

Answers

Answer:

3.75 quarts, rounded to 3.8 quarts

Step-by-step explanation:

3 quarts of solution is 10% antifreeze, so 0.3 quarts are already antifreeze, and 2.7 quarts are not.

a(the antifreeze we already have)+x(what we're going to add)= 1.5*2.7

Let me explain. If we have 60% antifreeze, 40% is not. 60/40=1.5

Substitute a for 0.3

0.3+x=4.05  Subtract 0.3 from both sides

x=3.75

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