Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Show That The Two Triangles Given Beside Are Similar And Calculate The Lengths Of Sides PQ And PR.

Answers

Answer 1

9514 1404 393

Answer:

ΔABC ~ ΔPQRPQ = 8PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14


Related Questions

what tell the hardware what to do and and how to do it

Answers

Answer:

I am assuming you are telling me to tell a piece of hardware what to do and how so in that case, Hammer go hammer in that nail by hitting yourself on its head so I can hang this painting. LOL

Step-by-step explanation:

I think I need better context ?

slope that falls between (0,20) and (20,85)

Answers

Answer:

13/4

Step-by-step explanation:

To find the slope we use the equation

m= (y2-y1)/(x2-x1)

   = (85-20)/(20-0)

    = 65/20

    = 13/4

5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *

Answers

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

Find the Surface area

Answers

Answer:

A=l×w×h

Step-by-step explanation:

5×5×6×7

1050. or if we add 4 in the solution part 2400

I think it’s what the other person said

Please help.
Algebra.

Answers

The answer to your answer is b
the answer is B. MULTIPLY the top equation by (-1)

Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?

Answers

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

If you roll a 6-sided die 84 times, what is the best prediction possible for the number of times you will roll an odd number?

Answers

Answer:

42

Step-by-step explanation:

Given that:

Sample space = {1, 2, 3, 4, 5,6}

Probability of obtaining an odd number in a single roll :

Probability = required outcome / Total possible outcomes

Required outcome = {1,3,5} = 3

Total possible outcomes = 6

P(odd number) = 3/6 = 1/2

Number of odds on 84 die rolls :

1/2 * 84 = 42 times

HELPPP WILL GIVE BRAINLIST

Answers

Answer:

6. A

7. D

8. B

9. C

10. B

Step-by-step explanation:

Answer:

A D B C B

Step-by-step explanation:

explain why 8.0 is greater then 0.8

Answers

Answer:

since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.

Step-by-step explanation:

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Answers

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct

Answer:

C

Step-by-step explanation:

On khan

The length of a rectangle is 5 units more than twice its width. Find an expression for the perimeter of the rectangle.

Answers

the width would be 10
length would be 15

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.

Answers

Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

g(n) = 18 - 4n

Step-by-step explanation:

Given the recursive formula

g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14

The explicit formula for an arithmetic sequence is

g(n) = g(1) + (n - 1)d , then

g(n) = 14 - 4(n - 1)

       = 14 - 4n + 4

       = 18 - 4n

The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.

Answers

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool



NEED HELPPPPP​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

Pleaseeee help! ASAP!

Answers

Answer:

Both slopes are as follows 1. 2 2. 2/5

Both equations are like

1.

16-12= 4

-----------=2

4-2=    2

=====

2.

10-4=  6

------------=2/5

20-5= 15

The Y intercept for both is as follows

1. 8

2. 2

I may be wrong on something but likely not and if I am sorry

Is -16 rational or irrational

Answers

I think that maybe 16 is rational

Answer:

irrational number

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.

Of the 45 staff members at SEMS ,9 were out with the flu one day in January. What percent of the teachers were at work today?

Answers

Answer:

80%

Step-by-step explanation:

Given that Of the 45 staff members at SEMS ,9 were out with the flu one day in January, it means that the number of people at work

= 45 - 9

= 36

As a percentage,

= 36/45 * 100%

= 4/5 * 100%

= 80%

The percent of the teachers were at work today is 80%

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Mark and his three friends ate out at Applebee’s. (Hint* 4 total people)



Their bill totaled $52.35.



If they left the server a 20% tip, how much would each person pay splitting the bill evenly?

(Round to the nearest dollar and cent)

Answers

Answer:

16 each

Step-by-step explanation:

15.71

Answer:

each person $15.67=$15.7

Step-by-step explanation:

20/100*52.35=10.47

52.35+10.47=$62.68 total

62.68/4=15.67

each person $15.67 =15.7

What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2

Answers

The area of the rectangle is A. 6000
A. 6,000 units^2

The area of a rectangle equals its length times its width. 60 • 100 = 6,000

how to expand 2a²b-ab-a​

Answers

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

What’s the missing side length

Answers

The answer is 6cm hop this helps
The answer would be 6cm because the length below is 10 and above is 4, so that would leave 6 cm of blank space

what is the average of 2,2,8and12​

Answers

Answer:

The average is of 2,2,8,12 is 6

Answer:

6

Step-by-step explanation:

2+2+8+12= 24/4= 6

hope this helped! :)

ANSWER ASAP
1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)

Answers

Answer:

100x^2+x-4

Step-by-step explanation:

x +  (4 • (5x + 1) • (5x - 1))x +  4 • (5x + 1) • (5x - 1)Factoring  100x2+x-4 The first term is,  100x2  its coefficient is  100 .The middle term is,  +x  its coefficient is  1 .The last term, "the constant", is  -4 Step-1 : Multiply the coefficient of the first term by the constant   100 • -4 = -400 Step-2 : Find two factors of  -400  whose sum equals the coefficient of the middle term, which is   1 .      -400    +    1    =    -399      -200    +    2    =    -198      -100    +    4    =    -96      -80    +    5    =    -75      -50    +    8    =    -42      -40    +    10    =    -30      -25    +    16    =    -9      -20    +    20    =    0      -16    +    25    =    9      -10    +    40    =    30      -8    +    50    =    42      -5    +    80    =    75      -4    +    100    =    96      -2    +    200    =    198      -1    +    400    =    399

Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem

Answers

AB/QR =AC/QS is the answer.

please help me I DO NOT UNDERSTAND

Answers

Are they asking for the surface area?

Which equation has a graph parallel to the graph of
y = -2/3x + 2

Answers

Answer:

B

Step-by-step explanation:

The answer is b because the number is supposed to be next to the first number

Which segment is closest in lenght to √10?

_
AC

_
DE

_
AD

_
AB

Answers

DE is the answer to this problem
Other Questions
why did grandpa bring back a crippled pony? When the hilum of the kidney faces anteriorly, posteriorly, or laterally instead of medially, it is called The plan of a patio deck is shown at the right. The scale is 2 inches: 6 feet. What are the length and width of the deck snow is predicted for tomorrow Multiply (3x-5)(x+4) so...........communism? ....what's that all about? ill give brainly pls help what is thissssssss????? pls help Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck Which statement best implies the value that Mr. Cavor places on knowledge?A.) Even if they have no generous emotions, they will teach in order to learn. And the things they must know!"B.) "They don't understand us," he said, "they think we are merely strange animalsC.)"I was angry at the time. Butit was perhaps necessary we should get on.D.)"Bedford," said Cavor, "it goes down. It keeps on going down." If diana spends 25 minutes running at the gym how many minutes does she spend lifting weight Find the area of the figure. Whats the answer to this question The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and a height of 147m. Using the same material, what would the height be if you gave the base sides of 250m?height = ___m Find the vertex and focus of theparabola.y2 12y + 4x + 4 = 0 Who was the creator of the Mormons and what was the ideology? Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.Which equation shows an equality between two different ways of expressing how many cookies Sam baked? A. 36 = c 2 B. 36 = c + 2 C. 36 = c 2 D. 36 = c x 2 There are endless consequences of being an "inmate," "prisoner," "convict," etc. Pick what you consider to be the 3 biggest problems for these individuals when they leave incarceration and return to their communities. how a healthy diet can be achieved using the foods important to any culture The noble gases in group 18 were some of the last natural elements to be discovered. Why do you think this is so?