En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.

Answers

Answer 1

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

En Un Triangulo ABC, El Angulo B Mide 64 Y El Angulo C Mide 72. La Bisectriz Interior CD Corta A La Altura

Related Questions

Help ASAP thank youu

Answers

Answer:

25°C

Step-by-step explanation:

C = 5/9(F - 32)

= 5(77 - 32)/9

= 5×45/9

= 5×5

= 25° C

Answer: The answer is 25°C.

  I hope this helped and please please mark me as brainlest.

Help anyone I need this for my test tomorrow please I am being anyone who knows how to do algebraic expression

Answers

Answer:

19. x > 7

20. x < 35

21.[tex]5\times x =5x[/tex]

22. [tex]\frac{1}{3} \times x = \frac{1}{3} x[/tex]

23.[tex]f\div 10[/tex] or [tex]\frac{f}{10}[/tex]

24. 45r

25.[tex]3\times x +16=3x+16[/tex]

26.[tex]18-3\times d = 18-3d[/tex]

27.[tex]k^2 -11[/tex]

28.[tex]\frac{20}{t^5} \\[/tex]

Step-by-step explanation:

Which list shows the temperatures in order from coldest to warmest in degrees Fahrenheit?
A) -10°F 8°F -5°F 0°F
B) -5°F -10°F 0°F 8 °F
C) -10°F -5°F 0°F 8 °F
D) 0°F -5°F 8 °F -10°F

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-10^F, -5^f, 0^f, 8^F

Is y=4x+13 a function​

Answers

Answer:

Yes

Step-by-step explanation:

yes it is a function

Write the equation of a line with a slope of 4 and a y-intercept of −3.

Answers

Answer: y=4x-2

Step-by-step explanation:

Slope-intercept form: y=ax+b, where a is the slope and b is the y-intercept.

Given: slope is 4, and y-intercept is -3

y=ax+b

y=4x+(-3)

y=4x-3

Hope this helps!! :)

Please let me know if you have any question

There are 252 campers at a summer sports camp. How
many flag football teams can be formed if there will be
14 players on a team?

Answers

18 teams
Just divide 252 by 14:)
252 campers divided by 14 players per team
252/14 = 18
18 teams can be formed

Use the figure to find the Volume. 30 cu. units 60 cu. units 104 cu. units

Answers

Answer:

60 cu units

Step-by-step explanation:

volume is base times height times length

5 x 6 x 2

0.29 rounded? I need this for msth and quick!!

Answers

.3 is that rounded to the nearest tenth

Answer:

0.29 rounded to the nearest ones is 0.

0.29 rounded to the nearest tenths is 0.3

0.29 rounded to the nearest hundredths is 0.29

Step-by-step explanation:

Note that when rounding, you always look at the place value directly next to the one you are rounding. Note that if the digit is 5 or greater, round up; If 4 or less, round down.

Round to the nearest ones:

Look at the place value directly next to the ones (tenths place value). It is a 2. Because 2 is less than 5, round down:

0.29 rounded to the nearest ones is 0.

Round to the nearest tenths:

Look at the place value directly next to the tenths (hundredth place value). It is a 9. Because 9 is greater than 5, round up:

0.29 rounded to the nearest tenths is 0.3

Round to the nearest hundredths:

Look at the place value directly next to the hundredths (thousandths place value). Because there is no number, it is typically signified by a 0 (place holder).

0.29 rounded to the nearest hundredths is 0.29

~

A cell phone beeps every 4 minutes. Another cell phone beeps every 5 minutes. What are the first three times that the cell phones beep at the same time?

Answers

Answer:

20, 40, 60

Step-by-step explanation:

We can find the LCM by making a list which is my favorite way.

Cell phone number 1: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

Cell phone number 2: 5, 10, 15, 20, 25, 30, 35 40, 45, 50, 55, 60

Answer:

The first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.

Step-by-step explanation:

Let the first cell phone be A, that is, A beeps every 4 minutes

and let the other cell phone be B, that is, B beeps every 5 minutes.

Cell phone A will be at the 4th, 8th, 12th, 16th and 20th minutes while cell phone B will beep at the 5th, 10th, 15th and 20th minutes. Hence, the first time the cell phones will beep together is the 20th minute.

Cell phone A will then beep at the 24th, 28th, 32nd, 36th and 40th minutes while cell phone B will beep at the 25th, 30th, 35th and 40th minutes. The second time the cell phones will beep together is the 40th minute.

Cell phone A will beep at the 44th, 48th, 52nd, 56th and 60th minutes while cell phone B will beep at the 45th, 50th, 55th and 60th minutes. The third time the cell phones will beep together is the 60th minute.  

Hence, the first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.

The traffic lights at three different road crossings change after every 48 seconds 72 seconds and 108 seconds respectivily.If they changed simultaneously at 7:00 am.,at what time will they change simultaneously again

Answers

Answer:

07:43: 12 AM

Step-by-step explanation:

Given that:

Traffic lights change after every 48, 72 and 108 seconds.

They changed simultaneously at 7:00 AM.

To find:

At what time, they will change simultaneously again ?

Solution:

For this, we need to find LCM(Least Common Multiple) of the three numbers and then add it to 7:00 AM to find the time they will change together again.

Because LCM of 3 numbers is the least number which is divisible by all 3 numbers.

Let us factorize the numbers and underline the common part:

[tex]48 = \underline{12}\times 4\\72 = \underline{12}\times 6\\108 = \underline{12}\times 9[/tex]

Common part is taken only once and the remaining part is multiplied to it to find the LCM.

So, LCM = [tex]12 \times 4\times 6 \times 9 = 2592[/tex]

In 2592 seconds, they will change together again.

Changing 2592 seconds in minutes:

Let us divide it by 60:

We get 43 minutes 12 seconds.

Let us add it to 7:00AM, we get the following:

So, the time at which they will change simultaneously = 07:43: 12 AM

How to simplify 2.961

Answers

Answer:

Just multiply with 1000

You get 2961

So 2961

Solve for x
41 – 3 = 7
Enter your answer in the box.
X =

Answers

Answer: X= 2.5

Step-by-step explanation:

What would be the answer for -2 -12n=-303

Answers

Answer:

25.08

Step-by-step explanation:

-12n - 2 = -303

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, n. Do the opposite of PEMDAS.

First, add 2 to both sides:

-12n - 2 (+2) = -303 (+2)

-12n = -303 + 2

-12n = -301

Next, divide -12 from both sides:

(-12n)/-12 = (-301)/-12

n = -301/-12 = 301/12

n = 25.08 (rounded).

1/4 Divided By 9/10=

Answers

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

When dividing fractions, the formula is simple: Keep Flip Change (KFC)

So keep [tex]\frac{1}{4}[/tex] change your division sign to a multiplication sign, and flip [tex]\frac{9}{10}[/tex] so it becomes [tex]\frac{10}{9}[/tex].

[tex]\frac{1}{4}[/tex]·[tex]\frac{10}{9}[/tex]=[tex]\frac{10}{36}[/tex]

Then you need to reduce your fraction to simplest form.

[tex]\frac{5}{18}[/tex]

5/8 or 0.27

Hope this helped

the Rope is 30m long. how many 3/4 meter pieces can be cut from the rope​

Answers

Answer:

40

Step-by-step explanation:

Given:

Length = 30 mPieces = 3/4 m

Number of pieces:

30 ÷ 3/4 = 30 × 4/3 = 40 pieces

HELP ASAP WILL gIVE BRAINLIsT

Answers

Answer:

(4,0)

Step-by-step explanation:

it went to the right 3, so needs to go to the right 9 more.

It went down 2, so needs to go down 6 more.

-5+9=4

6-6=0

BRAINLIEST FOR WHOMEVER ANSWERS CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! the manager of a pizza restaurant finds that its daily food cost is $60 plus $3 for pizza write an equation for the food cost C in terms of numbers of pizza sold p. then solve the equation to find the daily food cost on a day when 113 pizzas were sold. write your answer as an ordered pair

Answers

Answer:

C = 3x + 60

C = 3(113) + 60

C = 339 + 60

C = 399

(113, 399)

Factor the common factor out of the expression.

4a^4 – 20a^2​

Answers

Answer:

4a²(a² - 5)​

Step-by-step explanation:

4a⁴ – 20a² =

4a²× a² - 4a²×5 =              ⇒ common factor is 4a²

4a²(a² - 5)​                         ⇒ factorized

what is x to the power of two =36 over 121​

Answers

X^1=-6/11 and x^2 = 6/11

Answer:

x = ± [tex]\frac{6}{11}[/tex]

Step-by-step explanation:

Given

x² = [tex]\frac{36}{121}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{36}{121} }[/tex] = ± [tex]\frac{\sqrt{36} }{\sqrt{121} }[/tex] = ± [tex]\frac{6}{11}[/tex]

need help finding the side length, thank you! please try and show work or you can

Answers

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

[tex]\frac{15}{24}=\frac{10}{x}[/tex]                                     [cross multiply]

[tex]15x=240[/tex]                                 [divide both sides by 15]

x=16

2a – 6 (a – 4) = -4
Can I solve this?

Answers

Answer:

-4

Step-by-step explanation:

Answer:

A=7

Step-by-step explanation:

2a-6a+24=-4

simplify

-4a+24=-4

subtract 24 from both sides

-4a=-28

divide both sides by -4

a = 28/4

simplify 28/4 to 7

a=7

if there is a strong correlation between two variables the correlation coefficient will be close to -1 or 1 true or false

Answers

Answer: True.

=================================================

Explanation:

r = correlation coefficient

If r is close to -1, then the points are close to (or some fall on) the same straight line that has a negative slope. We consider this be a strong negative linear correlation.

If r is close to +1 or just 1, then the points are close to the same straight line that has a positive slope. These points would be considered to have strong positive linear correlation.

By "same straight line", I mean the regression line or line of best fit.

Nearest to 10, 100,1000 ,10000

Answers

Answer:

21,875: 21,880, 21900, 22,000, 20,000

85,000: 85,000, 85,000, 85,000, 90,000

36,243: 36,240, 36,200, 36,000, 40,000

54,999: 55,000, 55,000, 55,000, 50,000

Answer:

a

Step-by-step explanation:

If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.

Answers

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

Then,

5/3 = 1 remainder 2

Substitute k into the equation

n = k(k + 7)

n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

Therefore, the answer to both questions is Yes.

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 670 lb. How many boxes of books can the delivery person bring up at one​ time?

Answers

Answer:

Step-by-step explanation:

So if the delivery person weights 160 lbs than we’re going to subtract 670-160=510 next we divide 40 into 510 which is 12.75. Which means that he can bring 12 boxes.

Answer:

12

Step-by-step explanation:

max cap 670lb- delivery person 160lb  weight left 510lb

weight 510lb/each box 40lb number of boxes 12.75lb

each box 40lb times number of boxes 12lb  480lb+160lb 640lb

so your still have 30 lb before max weight of elevator

What type of number is 3908i?
A)real
B)imaginary
C)complex

Answers

Answer:

B

Step-by-step explanation:

Imaginary number contain the letter i in order for them to be recognized

I believe it is complex because the number includes i which cannot be defined, sort of like pi

Suppose we want to choose 2 objects without replacement from the 4 colors red, blue, green, purple. How many ways can this be done, if the order of the choices matter?

Answers

Answer:

Number of ways = 6

Step-by-step explanation:

Given:

Total number of choices = 4

Taken object choices = 2

Find:

Number of ways

Computation:

Number of ways =  [4 × 3] / 2!

Number of ways = [4 × 3] / [2 × 1]

Number of ways = [12] / [2]

Number of ways = 6

Answer:

These are the awnsers to it!

1: 12

2. 6

What is the constant in the expression 6a+2b+5?

Answers

Answer:

The answer would be 5.

Step-by-step explanation:

Tthe other terms have a number being multiplied by a variable.

Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays?

Answers

Answer:

EA, EB, EC and ED are opposites rays.

Step-by-step explanation:

Given that,

Line AB and line CD intersect at point E.

According to figure,

We need to find opposite rays

Using diagram

We draw a first line AB and second line CD which is intersect of AB at point E.

Now, EA and EB is called opposite ray of first line AB.

Similarly,

EC and ED is called opposite ray of first line CD.

Hence, EA, EB, EC and ED are opposites rays.

find two numbers with a sum of 129 and a difference (equation only) ​

Answers

Answer:

x + y = 129

with possible solution

128 and 1

Step-by-step explanation:

128 + 1 = 129

There are infinitely many solutions if you don't specify the difference.

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