Can you conclude that these triangles are congruent?
Yes or no

Step-by-step explanation:

Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.

By similar triangles:

[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]

The height of the pole is 20ft.

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

Step-by-step explanation:

Area is:9x5

Hope i could help u

Answer:

Solution

=(1+0.25)×4

=1.25×4

=5

since 3^0=1

Answer:1

Step-by-step explanation:

Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000

Answer:

1 is round off of 0.9271to the nearest whole number.

Answer:

im anserring for brainly points

Step-by-step explanation:

none honestly sorry

Answer:

-3x² -2y² -8xy +5y

34x² + 51xy - 8y + 6y²

7x² - 11xy +12y - 8y²

Step-by-step explanation:

Given:

A: 5x²+3xy +2y

B: 2y²-xy +4x²

С: 12xy+4x²-3y

Find:

1) А-В-С

2) 2A+3B+4C

3) 3A-4B--2C

Computation:

1) А-В-С

5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]

5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y

-3x² -2y² -8xy +5y

2) 2A+3B+4C

2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]

10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y

34x² + 51xy - 8y + 6y²

3) 3A-4B-2C

3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]

15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y

7x² - 11xy +12y - 8y²

Answer:

even though there's no options or context,most likely answers are 1.little

2.Suzzy

3. flour

4.molases

5.foil

6 aunt

7. ate

8.

9.good

10.kitchen

Answer:

x=32

Step-by-step explanation:

52=whatever angle x+20 is.

Answer:

55 pages per hour

Step-by-step explanation:

You divide 165 by 3 = 55

Answer:

Y=MX+C is the equations of a straight line where C is the constant (y intercept)

Looking at a and b and the two graphs c and d

The function c represents the lowest value of the y intercept which is at -3

Answer: [tex]f(x)=15500(1.0375)^x[/tex]

Step-by-step explanation:

The exponential model for growth is given by :-

[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]

hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]

Answer: i don't know

Step-by-step explanation:

hi i  don't know any of this stuff i hope you don't learn anything Bye  

Answer:

3 feet

Step-by-step explanation:

The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.

The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:

[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the diagram of the ramp, we can see that:

The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:

[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:

height = slope * base = (1/3) * 9 = 3 feet

If the base is extended by 3 feet, the tall would be 3 feet tall.

Find multiples of 30 and 40:

30: 30, 60, 90, 120, 150

40: 40, 80, 120, 160

The least common multiple is 120, so every 120 minutes they willl both ring.

1 hour = 60 minutes:

120/60 = 2 hours.

The bells ring together every 2 hours.

8 + 2  = 10 am

10 +  = 12pm

12 + 2 = 2 pm

The bells will ring together at am, 12 pm and 2 pm.

Answer:

At first common multiple of 30 an 40

[tex] \sf \to \: 30 = 30,60,90,120[/tex]

[tex] \sf \to \: 40 = 40,80,120[/tex]

Common Multiple = 120

Time taken = 120/60 = 2 hrs

Now,

8.00 + 2 = 10.00 am

10.00 + 2 = 12.00 noon

12.00 + 2 = 2.00 pm

[tex] \\ [/tex]

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

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Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

Answer:

use pressure =Force /area

Step-by-step explanation:

12000N/1.08

9514 1404 393

Answer:

  PR = 8

Step-by-step explanation:

The median bisects the side opposite the vertex, so ...

  P is the midpoint of AC

Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:

  PR + RC + PC

  PR + 4.5 = 12.5 . . . . . fill in the known values

  PR = 8 . . . . . . . . . . . . .subtract 4.5

Answer:

x = 100, y = 50

Step-by-step explanation:

Make a system of equations:

First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:

x + y + 30 = 180

x + y = 150

Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:

2y + x/2 + 30 = 180

x/2 + 2y = 150

Now, all you have to do is solve the system of equations.

To start, multiply the second equation by 2 to get rid of the fraction:

x + 4y = 300

Then, you can subtract the two equations:

x + 4y = 300

- (x + y = 150)

3y = 150

divide both sides by 3

y = 50

substitute y = 50 into the equation x + y = 150:

x + 50 = 150

x = 100

Answer:

x=45/4

Decimal Form:

x=11.25

Mixed Number Form:

x=11 1/4

Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.

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Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

Answer:

B 4456448444424346464646464664646464

Explanation:

This might not be how you are supposed to do it but,

We can see the two triangles are similar because AA similarity.

We know that the sides are proportional so we can make:

[tex]\frac{x+2}{x}=\frac{4}{3x-1}[/tex]

We get,

[tex]3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1[/tex]

Because sides can't be negative, x = 2/3

Answer:

x=2/3 = 0.7

Step-by-step explanation:

X+2/x = 4/3x-1

=(X+2)(3x-1)=4x

(x+2)(3x-1)-4x=0

3x²-x+6x-2-4x=0

3x²+x-2=0

3x²+3x-2x-2=0

3x(x+1)-2(x+1)

(x+1)(3x-2)=0

x+1=0

3x-2=0

x=-1 or 2/3

x=2/3 = 0.7

The two whole numbers that are the closest to √42 are 6 and 7.

The given number is √42.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The square root of √42 =6.48

The two whole numbers that are the closest to √42 are 6 and 7.

Therefore, the two whole numbers that are the closest to √42 are 6 and 7.

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Step-by-step explanation:

11. step 1. m = (4 - 7)/(-3 - (-5))

step 2. m = -3/2.

[tex]volume = lwh[/tex]

[tex]volume = (80)(40)(100)[/tex]

[tex]volume = 320000 \: {cm}^{3} [/tex]

You need a volume of 320000 cm³ of water to fill the water cooler.