Assume ABC is congruent to PQR. If AB = 17, QR = 15, and PR = 23, what is BC?

A. 23 units
B. 15 units
C. 8 units
D. 17 units

Answer:

is it a and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this sense "area" refers to a geographical area in which people may or may not live; any "population" refers to the group of people living in a specific area.  We might discuss the "population" of the "Los Angeles area," which refers to people living within the geographic boundaries of the City of Los Angeles.

"Urban" characterizes a given area where the land is thickly settled with human residents (as opposed to open, commercial or rural land).  Most of the area within the boundaries of "Los Angeles" are "urban."

"Density" refers to "population density," defined as the number of people per square mile (or other measure of area); as an example we might refer to the population density of the City of Los Angeles, and that reasure might be in the area of "246,000 residents per square mile."

Answer:

Search the words up on google and it will explain better then me

Step-by-step explanation:

Answer:

6 cans

Step-by-step explanation:

I used Improper Fractions to solve this question.

3/4 is enough to paint 1/8

Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.

3 * 8 = 24

24/4 = 6

Answer:

∠ D = 44°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent, thus

∠ D = ∠ A = 44°

Answer:

x = 2

Step-by-step explanation:

2x - 3 = 9 - 4x

2x + 4x - 3 = 9

2x + 4x = 9 + 3

6x = 9 + 3

6x = 12

x = 2

Hope this helped! :)

Answer:

2

Step-by-step explanation:

You start of with the equation 2x-3 = 9-4x

Then you bring -4x to the left side, making it 6x-3 = 9

Take the -3 to the right, 6x = 12

Lastly divide 12 by 6

Answer:

The answer is A.

Step-by-step explanation:

Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).

Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.

NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.

Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.

Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.

-1, -5

Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.

HOPE THAT HELPED!

Answer:

the answer is A

hope it helps

Answer:

Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Step-by-step explanation:

Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]

market is improving at 4.5% annually.

This, means that the value of house gets appreciated by 4.5% each year from its previous year value.

This is a problem of compound interest formula

[tex]FV = PV(1+r/100)^n[/tex]

where PV is the present value of any thing

FV is the future value

r is the annual rate of interest

t is the time in number of year for which rate is applicable.

_____________________________________

Given

PV = $175,000.

r = 4.5%

t = 12 years

Value after 12 year will be given by

[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]

Thus, Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Answer:

x=2   (−∞,∞)

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x

Hope this helps (sorry if it's confusing)

Answer:

x = 1.71282

Step-by-step explanation:

2x^3+3x^2-4x-12

2 x³ + 3 x² - 4x - 12 = 0

x = 1.71282

see attachment.

Answer:

2

Step-by-step explanation:

=> 10-8

=> 2 (Equivalent Expression)

Answer:

A decrease of 9.2% is 1 - 0.092 = 0.908. 0.908 * 721.45 = 655.08.

Answer:

721.45 x 9.2% = 721.45 x 0.092 = 66.37

so 66.37 is the discount

721.45 - 66.37 = 655.08

So 655.08 is the discounted price

655.08 is the answer

Hope this helps

Step-by-step explanation:

Answer:

34 classes

Step-by-step explanation:

First, subract 180 from 1200. You should get 1020. then do 1020/30. So 34 classes can watch the performance of 180 students.

Answer:

34

Step-by-step explanation:

If there are 180 students performing you need to subtract that from 1200, which leaves you with 1020

Then you divide it by 30, since there are 30 people in each class

You should then end up with 34 classes

Answer:

462 ways

Step-by-step explanation:

Answer:

Step-by-step explanation:

let  the smallest number=x

largest number=y

y=2x

again x-1/2 y=20

or 2x-y=40

2x-2x=40

or 0=40

which is impossible.

∴ it has no solution.

Answer:

6) -7 + 10 = 3 (3 more; total number doesn't matter)

7) 50w + 20

8) c / 5

9) 5 + 2t

10) 4d  + 2d

I didn't see the trick problem!

Answer:

[tex]y = 20.7[/tex]

Step-by-step explanation:

Given

The figure above

Required

Calculate the y component

Represent the y component with y, the resultant vector with s and the angle with [tex]\theta[/tex]

The y component of a vector (as it is, in this case) is calculated as thus;

[tex]sin\theta = \frac{y}{s}[/tex]

[tex]Where\ \theta = 15\\ s = 80[/tex]

Substituting these values in the equation

[tex]sin\theta = \frac{y}{s}[/tex] becomes

[tex]sin\ 15= \frac{y}{80}[/tex]

Multiply both sides by 80

[tex]80 * sin\ 15= \frac{y}{80} * 80[/tex]

[tex]80 * sin\ 15= y[/tex]

[tex]80 * 0.2588190451= y[/tex]

[tex]20.705523608 = y[/tex]

[tex]y = 20.705523608[/tex]

[tex]y = 20.7[/tex] (Approximated)

Answer:

12 different outfits

Step-by-step explanation:

2 x 2 x 3 = 12 outfits.

Answer:

12

Step-by-step explanation:

He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:

2 * 2 * 3 = 12 outfits

Answer:

96

Step-by-step explanation:

each number is the previous number added together

for example

33 (3+3=6)

33+6= 39

39 (3+9=12)

39+12=51

84 (8+4=12)

84+12= 96

Answer: [tex](x+10)^2+119=0[/tex]

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]

Subtract 9 from both sides

[tex]=x^2+20x+19=0[/tex]

compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides

b= 20

[tex]x^2+20+100+19=-100[/tex]   [(b/2)²=20/2=10]

[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]

[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]

So, the vertex form : [tex](x+10)^2+119=0[/tex]

Answer: idk jus needed the points so im answering

Answer:

Y=sqrt x

Step-by-step explanation:

I literally just know how to look

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

Answer:

C. Acute

F. Equilateral

Step-by-step explanation:

Since all angles in the triangle are 60° (and less than 90°), it makes it an acute triangle.

Since all sides and angles are congruent to each other, respectively, we know that the triangle is equilateral.

Answer:

the actual answer is acute,equilateral,isosceles

Answer:

The correct option is A

A) y = (1/5)x + 6

Step-by-step explanation:

The equation of the first cut shown in the graph is:

y = (1/5)x - 1

We know that a general form of linear equation is given as:

y = mx + c

Comparing both equations, we get that the slope m = 1/5

As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5

Substitute it in the general linear equation

y = mx + c

y = (1/5)x + c

We know that this equation passes through the point (0,6), substitute it in  the above equation>

6 = (1/5)(0) + c

c = 6

The equation for second cut be found by using m = 1/5 and c = 6

y = mx + c

y = (1/5)x + 6

Answer:

The tree grows 33cm per year.

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

2+3+5+7+11+13+17+19=77

Answer:

65 units

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{144 \times 25} \\ h = 12 \times 5 \\ h = 60 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {25}^{2} \\ {x}^{2} = {60}^{2} + {25}^{2} \\ {x}^{2} = 3600 + 625 \\ {x}^{2} = 4225 \\ x = \sqrt{4225} \\ \huge \red{ \boxed{x = 65\: units }}[/tex]

Answer:

120 cm^2

Step-by-step explanation:

Area for triangle = 1/2 x base x height

And there are 5 congruent triangles in the pentagon so

(1/2 x 8 x 6) x 5 = 120 cm^2

Answer:

A) ∠9 = ∠10 = ∠11 = ∠12  = 90°

∠2 = ∠3 = ∠5 = ∠8 = 135°

∠1 = ∠4 = ∠6 = ∠7 = 45°

B) 1. ∠4 and ∠1 -> vertical angles

2. ∠7 and ∠5 -> supplementary

3. ∠9 and ∠10 -> supplementary

Step-by-step explanation:

Data

The following are vertical angles, so they are congruent:

∠1 ≅ ∠4

∠3 ≅ ∠2

∠11 ≅ ∠9

∠10 ≅ ∠12

∠7 ≅ ∠6

∠5 ≅ ∠8

From here and data, it is deduced that

∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12

From the picture, the addition of them is equal to 360°, then:

∠11 + ∠9 + ∠10 + ∠12 = 360°

4*∠11 = 360°

∠11 = 360°/4

∠11 = 90° = ∠10 = ∠9 = ∠12

∠2 and ∠4 are supplementary, then:

∠2 + ∠4 = 180°

∠2 = 180° - 45°

∠2 = 135°

∠7 and ∠5 are supplementary, then:

∠7 + ∠5 = 180°

∠7 = 180° - 135°

∠7 = 45°

Answer:

Started learning this today and this made a lot easier

Answer:

y=437

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

Add  226  to both sides of the equation.

y/23=−207+226

Add  −207  and  226.

y/23=19

Multiply both sides of the equation by  23.

23⋅y/23=23⋅19

Simplify both sides of the equation.

Cancel the common factor of  23.

cancel out the common factors

23⋅y23=23⋅19

Rewrite the expression.

y=23⋅19

Multiply  23  by  19.

y=437

dont forget to give me brainliest