In the figure below, triangle ABC is similar to triangle PQR:

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 4, length of BC is 2. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 12.

What is the length of side PQ?

48
24
40
18

Answers

Answer 1

Answer:

The length of PQ is 24

Step-by-step explanation:

If you flip triangle PQR upside down the you can see which side corresponds to which. BC corresponds to QR and AB with PQ, the scalar is 6 because of BC (2) times 6 = QR (12). So you just have to do 4 times 6 which is 24.


Related Questions

Which function describes this graph?

A. y = (x+5)(x-3)
B. y = x^2+7x+10
C. y = x^2+5x+12
D. y=(x-2)(x-5)

Answers

Answer:

B is the answer

Step-by-step explanation:

Answer:

B. y = x^2+7x+10

Step-by-step explanation:

I need help this is urgent

Write an equation of the line below

Answers

Given the line, we have points (0,4),(1,3), (2,2), (3,1) and (4,0)
Hence, y= 4-x

Hello pls Asap plsssss

Answers

Option 3 or 4 would be your correct answer

b) The price of a radio is marked as Rs 7,500. If the shopkeeper allows 20 % discount and adds 13 % VAT, how much will a customer pay for the radio?​

Answers

Answer:

the customer should pay Rs.6780 including VAT.

Step-by-step explanation:

here,

Marked price(MP)=7500

Discount(D)=20%

VAT=13%

now,

selling price(SP)=MP-D%of MP

=7500-20×7500/100

= 7500-1500

= Rs 6000

again,

SP with VAT = SP +VAT of SP

= 6000+13×6000/100

=6000+780

=Rs.6780

hence,

the customer should pay Rs. 6780 including VAT.

9.

For which discriminant is the graph possible?

A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0

Answers

Answer:

C. b2 – 4ac = 0

Step-by-step explanation:

subtact (7x+2) from (-6x+8)​

Answers

(-6x+8)-(7x+2)

4 -6x + 8 -7x - 2

= -13x + 6

Answer:

Step-by-step explanation:

(-6x + 8) - (7x + 2) = -6x + 8 - 7x - 2   {Distribute property}

                            = (-6x - 7x) +( 8 - 2)  {Combine like terms}

                           = -13x + 6

Can someone help me out

Answers

Answer:

82.8

Step-by-step explanation:

area of the parallelogram = base × height

= 13.8×6

= 82.8 in²

Answered by GAUTHMATH

solve this question :
-10k2+7

Answers

Answer:

-10k×2+7

= -20k+7

Step-by-step explanation:

is the answer

Write the area A of an equilateral triangle as a function of the length s of its sides.

STEP 1: Find the base of the equilateral triangle in terms of s.

STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.

Answers

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

Diana and Dulce were selling tickets for their upcoming
softball game. Dulce sold 20% more than Diana. If they
sold 55 tickets total, how many tickets did each of them
sell?

Answers

Answer:

Diana sold 25 tickets and Dulce sold 30 tickets

Step-by-step explanation:

Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets

I do not understand this question can someone help me with good explanation will give Brainliest

Answers

Answer:

60 (E)

Step-by-step explanation:

He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds

He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes

whats the volume the triangular prism?​

Answers

Answer:

the volume is 1000 cm^3

Step-by-step explanation:

first we need to find where is the base, and height, for this case, the trian is the base, not the rectangle, so it maybe eas if you draw a upright angle os the shape, with the triangle facing down.

As show you need to have bare and height for the volume of the prism, which we already know the height is 25 (h=25) so now we need to find the base.

for the base, since it’s a triangle, which has the area formal of 1/2(bh), so now just plot the number in, 1/2x10x8= 40 cm^2

now using the volume of prism formal; V = bh = 40 x 25 = 1000 cm^3

A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?

Answers

Answer:

3 ft per minute

Step-by-step explanation:

Take the distance and divide by the time

3/4 ft ÷ 1/4 minute

Copy dot flip

3/4 * 4/1

Rewriting

3/1 * 4/4

3/1 *1

3 ft per minute

Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find

1. P(A’)

2. P(A) U P(B)

3. P(A) ∩ P(B)

4. P(A ∩ B)

Answers

Answer:

A={x| x>7} = 8,9

B= {5,6}

1,

2,{5,6,8,9}

3,{}

4{}

Kristian and Stephanie share money in the ratio 3 :2 Kristian receives $72 How much will Stephanie receive​

Answers

Answer:

48

Step-by-step explanation:

Kristian : Stephanie

3                 2

Kristian receives 72

72/3 = 24

Multiply each side by 24

Kristian : Stephanie

3*24                 2*24

72                        48

Which of the following are good ideas to use when gathering your resources?
Check all that apply.
O A. Form an equation:
B. Draw a diagram.
C. List potential formulas.
D. Guess at the solution and see if you are close.
E. Organize into a table.
F. Write down the facts.

Answers

Answer:

Organize into a table for good gatherings.


Which models best illustrates the inequality and its graph?
t< 55

a.) t is at least 55

b.) t is less than 55

c.) t is 55 or more

d.) t is at most 55

Answers

Answer:

B

Step-by-step explanation:

Open circle means the number is not included.

Hope this helps <3

What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property

Answers

Answer:

Definition of Congruent angles.

Step-by-step explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:

[tex]\angle ABC \cong \angle ABD[/tex]

When the sign [tex]\cong[/tex] is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of Congruent angles.

Answer:

ABC and ABD are congruent

Step-by-step explanation:

PLEASE HELPP!!!!
Find the area.

A.530in²
B. 779in²
C.390in²
D.1060in²

Answers

Answer:

530in²

Step-by-step explanation:

Area of triangle(a)=1/2bh=1/2*40*26.5=530

3x – (7x + 2) > 5x + 4

Answers

Answer:

x < -2/3

Step-by-step explanation:

3x – (7x + 2) > 5x + 4= 3x -7x - 2 > 5x + 4= -4x - 2 > 5x + 4= -4x -5x > 4 + 2 = -9x > 6= x < -2/3

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

f(x) = 5x + 2x^2-7x+4
g(x) =3x-7
find (f+g)(x)

Answers

Answer:

(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3

Step-by-step explanation:

Answer:

=6x^3-20x^2+26x-28

Step-by-step explanation:

the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?

Answers

Answer: 32,500

Explanation: start by dividing 2 by 13 and then multiply that value to 211,250

How do I find the Derivative of a Function where the x is a number?

If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?

Thanks

Answers

Given a function g(x), its derivative, if it exists, is equal to the limit

[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]

The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).

Alternatively, you can directly find the derivative at a point by computing the limit

[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]

But this is essentially the same as the first method, we're just replacing x with 1.

Yet another way is to compute the limit

[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]

but this is really the same limit with h = x - 1.

You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.

1. Identify each number as rational or irrational. Give a reason for your choice.
Part I: The number 0.35 is a(n) _I
number because

Answers

Answer:

rational

Step-by-step explanation:

it can be written as a fraction

Find the missing angles indicated by small letters in each of the diagram. ​

Answers

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

Solve for the value of r.
r =

Answers

Answer:

r=8

Step-by-step explanation:

45=6r-3

48=6r

r=8

plz help me this will be appreciated ​

Answers

Answer:

1. h

2. b

3. a

4. d

5. c

Step-by-step explanation:

all answers are straight forward. only the last (5) is phrased a bit strangely. I would have said "reflect across a horizontal line".

Combine these radicals.




Anyone can help pls

Answers

C. -26 square root of 3

A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 68% of the time?​

Answers

Answer: A): 15.90 ounces to 16.4 ounces.

Step-by-step explanation:

Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.

With that being said, you would do the following calculations:

[tex]16.15-0.25=15.90\\\\16.15+0.25=16.40[/tex]

This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.

The formula: [tex]u\frac{+}{-} o[/tex]

the mean PLUS OR MINUS the standard deviation.

Answer:

A

Step-by-step explanation:

17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?

Answers

Answer:

Hello,

a=0.5

Step-by-step explanation:

[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]

[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]

else\

[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]

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