Will award brainliest to correct answer!
Given square ABCD. Two congruent i s o - Δ's ABP and BCQ are constructed with bases AB and BC. Each of these triangles has vertex angle of 80°. Point P lies in the interior of the square, while point Q lies outside of the square. Find the angle measure between PQ and BC.

Thanks in advance :D

Answers

Answer 1

Answer:

85° and 95°

Step-by-step explanation:

Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.

[tex] \angle \: ABP = \frac{180 - 80}{2} = 50 \degree[/tex]

Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.

Therefore, the angle BKQ is equal to 180-50-45=85°.

Of course angle BKP=180-85=95°.

Hope this helps :)


Related Questions

The product of (3 - 4i) and ____ is 25.

Answers

Answer:

( 3 + 4i )

Step-by-step explanation:

For this problem, we need to know that i^2 = -1. With this, let's solve the multiplication problem.

So to get rid of the i, we know it needs to be squared. The question is, for the sun of the products do we have a -4i or a +4i? So we will test both.

( 3 - 4i )^2 ?= 25

( 3 - 4i )( 3 - 4i ) ?= 25

9 - 12i - 12i - 16 ?= 25

We can stop here since we know that 24i will never equal 25.

So let's try the -4i

( 3 + 4i )( 3 - 4i ) ?= 25

9 + 12i - 12i + 16 ?= 25

9 + 16 ?= 25

25 == 25

Thus, our term for this to be true is ( 3 + 4i ).

Cheers.

This is my last question for an assignment I'm doing. Cannot fathom what I'm supposed to do. Assuming it has to do with Right Triangle Proportions. Any help would be greatly appreciated.

Answers

Answer:

x = √7

Step-by-step explanation:

First find the missing angle of the triangle with the side as 5, and the hypotenuse as 6.

a² + b² = c²

5² + b² = 6²

25 + b² = 36

b² = 11

b = √11

So now we know that for the triangle with sides 2 and x, the hypotenuse is √11. Now use the Pythagorean Theorem to find x.

a² + b² = c²

2² + x² = (√11)²

4 + x² = 11

x² = 7

x = √7.

Someone please solve this

Answers

6,135.9 is the correct answer

What is the slope of the line joining (8, 1) and (24, 9)? (5 points)

Answers

Answer:

1/2

Step-by-step explanation:

A cone-shaped popcorn cup has a radius of 5 centimeters and a height of 9 centimeters. How many cubic centimeters of popcorn can the cup hold?
Use 3.14 for π (pi).
The volume of the popcorn cup is __ cm^3

Answers

Answer:

The cup can hold 235.5 cubic cm of popcorn.

Step-by-step explanation:

A cone shaped popcorn cup has a radius of 5 cm and a height of 9 cm.

Use 3.14 as an approximation for pi.

Now, to find cubic cm of popcorn the cup can hold.

Radius (r)= 5 cm

Height (h)= 9 cm

[tex]\pi[/tex]= 3.14 (as per question).

So, to get the cubic cm of popcorn the cup can hold we put formula of volume:

Volume= [tex]\pi[/tex]r[tex]x^{2}[/tex] h[tex]\frac{x}{y}[/tex] 3

Volume= 3.14 x 5[tex]x^{2}[/tex] × 9[tex]\frac{x}{y}[/tex]3

Volume= 3x14 x 25 x 3

Volume= 235.5 cubic cm.

Please help if you are good at this

Answers

Answer:

-1

Step-by-step explanation:

-(-4)-5=

4-5=

-1

I’ve attached my work...

Hope it helps!

Have a nice day:)

1. Noah's kite is flying above a field at the end of 65 feet of string. The angle of
elevation to the kite measures 70°. How high is the kite above Noah's head?
a. Identify the trigonometric function you would use to solve.
b. Give the equation you would use to solve.
C. Find the solution to the nearest foot.

Answers

Answer:

A) sin θ = opposite/hypotenuse

B) sin 70 = h/65

C) h = 61 ft

Step-by-step explanation:

I have attached an image of the triangle diagram that we will use to since this question.

A) From the image attached, we see that the height of the kite above Noah's head is given by h which is the opposite side of the triangle.

We have the hypotenuse as 65.

Thus, the trigonometric function,we will use is;

sin θ = opposite/hypotenuse

B) From A above, we can plug in the relevant values to get the equation we will use to solve. Thus;

sin 70 = h/65

C) sin 70 = h/65

0.9397 = h/65

h = 65 × 0.9397

h = 61.08 ft

To the nearest foot gives ;

h = 61 ft

I need help with 5 and 6 please what is M and B?

Answers

Answer:

Step-by-step explanation:

5)

y= 3x - 5  m = 3   b = -5

y = -x -1    m = -1   b = -1

6)

y= x+3   m = 1    b = 3

y= -2x -3   m = -2  b = -3

Answer:

5.

y = 3x - 5  m = 3   b = -5

y = -x -1    m = -1  b = -1

6.

y = x+3   m = 1    b = 3

y = -2x -3   m = -2  b = -3

pls help i fr HAVE TO PASS THIS SIX WEEKS

Answers

Answer:

pretty sure its 68 or 66 dont put 34 tho lol

Point A is located at (-5, -8). After it is translated, point A' is located at (-5, -5). What was the translation?

Answers

Answer:

Moving 3 units down

Step-by-step explanation:

how many liter of 30%alcohol solution sholud added to 40 liters o6 60% alcohol solution to prepare 50% solution​

Answers

Answer:

75

Step-by-step explanation:

75. How many litres of a 30% alcohol solution should be added to 40 litres of a 60% alcohol solution to prepare a 50% solution? \ The ratio in which 30% alcohol and 60% alcohol should be mixed to get 50% alcohol is 1 : 2

Answer: Let x litres of 30% alcohol solution be added.

Then, 30% of x + 60% of 40 = 50% of (x + 40)

⇒ 30x + 60 × 40 = 50 (x + 40)

⇒ 30x + 2400 = 50x + 2000

⇒ 20x = 400

⇒ x = 20

Please brainliest please

Helpppppppppppppppppppppppp

Please identify the reason of why e ach statement is true. (The blank ones I haven't answered)

Answers

Answer:

I'm not sure about "11" but  12. is "by the definition of right angles", and 16. is "by the SAS(side angle side) congruency theorem"


I need help on this

Answers

Answer:56

Step-by-step explanation:

We already have the lengths of the given sides:

5+7=12

12+5=17

17+5=22

22+11=33

33+7=40

40+(5+11)=56

Does anyone know the answer to these questions?

Answers

Answer:

Step-by-step explanation:

What is the constant rate of change for (2, 8), (3, 12) and (6, 24)?

Answers

Answer:

(1 , 4)

:):):):):):):):):):):):):):

Taking advantage of a credit discount is one way to reduce interest charges. true or false

Answers

Answer:

True

Step-by-step explanation:

Most of the companies would given the discount or credit options discount this would motivate the buyer to pay soon. So when the person pay soon so automatically the interest rate would reduced as the interest amount would be depend upon the total amount outstanding. It can be say the more the debt, the more interest would be

Therefore the given statement is true  

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

I think its the first but im not sure

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Answer:

113.69700

Step-by-step explanation:

Answer:

$117.05

Step-by-step explanation:

5x12.25=61.25

4x16.45=65.8

61.25+65.8=127.05

127.05-10=117.05

Someone please help I’m having trouble

Answers

it’s A). x=20 y=128.
do you need the work?

ill give brain just helpppp Match the vocabulary word to the definition.

1. median income
protected area of undeveloped landscape
2. poverty level
income level below the adequate standard-of-living
3. greenspace
amount divided into two equal groups

Answers

Step-by-step explanation:

median income

amount divided into two equal groups

poverty level

income level below the adequate standard-of-living

greenspace

protected area of underdeveloped landscape

Answer:

Hey!

Step-by-step explanation:

Median income-amount divided into two equal groups

Poverty level-income level below the adequate standard-of-living

Greenspace- Protected area of undeveloped landscape

Best of luck! <3

I need a 4 letter code Please help fast!

Answers

The correct answer is POMS

Determine the number of different ways to draw two cards of the same rank when
drawing two cards from a 60-card deck (assume that there are 4 cards in each rank).

Answers

Answer:

Step-by-step explanation:

The number of different ways to draw two cards of the same rank will be 1/195.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A 60-card deck (assume that there are 4 cards in each rank).

Then the total number of events is given as,

Total event = ⁶⁰C₂

Total event = 60! / [(60 - 2)! x 2!]

Total event = (60 x 59) / 2

Total event = 1,170

The number of the favorable event will be given as,

Favorable event = ⁴C₂

Favorable event = 4! / [(4 - 2)! x 2!]

Favorable event = (4 x 3) / 2

Favorable event = 6

Then the probability is given as,

P = 6 / 1,170

P = 1/195

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Colton is planning on building a new shed for his backyard. The plans for the shed are shown with all the measurements. The shed is a right prism.
• How much can Colton store inside the new shed? Explain your reasoning.
• Colton wants to paint the outside of the shed including the shed door to match his house.
Explain how much paint Colton will need to paint the shed.
• A gallon of paint covers 200 square feet and costs $16.99. How much will it cost Colton to
paint the shed?
Your work should include:
• An explanation using math terms of how you could determine how much Colton can store
inside his shed (3 points)
• An explanation using math terms of how much paint Colton will need to paint the shed
(3 points)
• Your calculations (3 points)
• Statement explaining how much it will cost to paint the shed (3 points)
5 ft
4 ft
8 ft
6 ft 12 ft

Answers

The answer would be 6ft and the reason why is because the shed

for a party, mr. snd mrs. rodriguez made 4 1/2 gallons of fruit punch. how msny quarts of punch did they make? HELP

Answers

Answer:

18

Step-by-step explanation:

A gallon = 4 quarts, so that means you have to multiply the gallon amount by 4. Let's break up the number; 4 * 4 = 16, 1/2 * 4 = 2. Add them together, 16 + 2 = 18. Your answer is 18.

no one is answered last time but please help

Answers

Answer I think the answer is (n-1)+3

Step-by-step explanation:

I'm not 100% sure though.

bricks having volume 500cm^3 each are selected to construct a compound wall of 200m×0.5m×1.5.If theprice of the brick is Rs.14,find the total price.​

Answers

Answer:

Rs. 4,200,000

Step-by-step explanation:

Given :

Volume of brick = 500cm³

Dimension of wall : 200m×0.5m×1.5m

Converting to cm

Volume of compound wall:

(200 * 100) * (0.5 * 100) * (1.5 * 100)

20000cm * 50cm * 150cm=

= 150000000cm³

Volume of compound wall / volume of brick

1500000000 cm³ / 500 cm³

= 300000

Price per brick = Rs. 14

Total price = 14 * 300000 = Rs. 4,200,000

List the following in order from greatest to least. -16, -7, -18, -6

Answers

-6 -7 -16 -18 I hope this helps!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

<3 is 79 degrees and they are corresponding angles

Answer: The answer to the first question is measure 3 is 79 degrees. For the second one the angles are known as corresponding angles.

Step-by-step explanation:

Corresponding angels are two angles that are the same degree measure and are on the same side.

Need help!!!! ASAP!! Plzz

Answers

Answer:

XV = 4.75

Step-by-step explanation:

TV/WV = UV/XV (similarity theorem)

TW = 9

WV = 3

UV = 19

TV = 9 + 3 = 12

XV = ?

Plug in the values

12/3 = 19/XV

4 = 19/XV

XV × 4 = 19

XV = 19/4

XV = 4.75

Brainliest for asap correct answer.

Answers

(6,-4) is the coordinate because I think it’s correct
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