Find the surface area of the triangular prism. Will mark brainliest!

ΔWCO and ΔPIG are congruent by SSS.

Option B is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

From ΔWCO and ΔPIG

The ratio between the corresponding sides is same.

i.e

WC/GP = WO/GI = 7/21 = 5/15 = 1/3

Now,

Since the ratio of the two corresponding sides in the two triangles are same,

The ratio of the remaining corresponding sides will also be the same.

Now,

C0 = IP = 1/3

So,

ΔWCO and ΔPIG are congruent by SSS.

Thus,

ΔWCO and ΔPIG are congruent by SSS.

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Answer:

y= 15x+35

Step-by-step explanation:

Answer:

y=15x+35

Step-by-step explanation:

It increases 15 per hour (slope)

And Initial is 35 y-intercept

Answer:

C is the answer if you count 8 down, if not. sorry

Answer:

c. -3, -4 if you go 8 numbers down from point P then that's what you should get.

Answer:

1st one because they make less than the actual house

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

Answer:

noooooooooooooooooooooooooooo

Step-by-step explanation:

yeahhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

not sure sorry

Step-by-step explanation:

Answer:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

Yes, they are perpendicular

Step-by-step explanation:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

slope 2 = - 1/1 = - 1/slope 1

Answer:

let mw know if im wrong but i think the answer would most likely be 150

Answer:

9,15

Step-by-step explanation:

3x3=9

3x5=15

both timed by 3 and they are both rates so there you go hope this helps!

Answer

1;120

2;60

3;20

Step-by-step explanation:

Answer:

A=60

Step-by-step explanation:

Add 28+20+12

A=60

Answer:

3.

Step-by-step explanation:

12a+20a+28a=180(sum of interior angle of a triangle )

or, 60a=180

or, a= 180/60

therefore ..... a=3

Answer:

The answer is 2.00.

Step-by-step explanation:

45.15 ÷ 21 = 2.15

2.15 rounded off to the nearest whole number is 2.00.

This was because you asked for an estimate.^

Answer:

x-intercept = 2/3

y-intercept = -1/3

Step-by-step explanation:

Here, we want to get the x and y intercept of the given linear equation

the x-intercept is the value of x when y is 0 while the y-intercept is the value of y when x = 10

For 3x - 6y = 2

Let x = 0

-6y = 2

y = -2/6 = -1/3

Let y = 0

3x = 2

x = 2/3

X-intercept is (2/3,0)

y-intercept is (0,-1/3)

Answer:

Step-by-step explanation:

2a+3b+2k= $3.19

3a+4b+2k=$4.12

1a+1b+4k=$3.01

The system of equation that can be used to solve these scenario are          2a + 3b + 2k = 3.19, 0a + 4b + 2k = 4.12 and  1a + 1b + 4k = 3.01.

A linear equation consist of variables and constant sperated by arithmetic operations which has highest degree of 1.

We know that a system of equations is formed when we have two or more than two linear equations in two or more than two variables and a system of equations is consistent when the number of variables is equal to or less than the number of equations.

Given in this questin is 3 variables Applles(a). Bananas(b) and Kiwis(k) and we can form three equations in three variables they are,

2a + 3b + 2k = 3.19...(i)

0a + 4b + 2k = 4.12...(ii)

1a + 1b + 4k = 3.01...(iii)

We can solve this system of equation by first multiplying eqn(iii) by 2 and then subtracting it from eqn(i) to eliminate variable 'a' and then equating with eqn(ii) to eliminate variable 'b' or 'k'

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Answer: 0.002 inches

Step-by-step explanation:

A stack of 500 pieces of paper is 1.015 inches tall. The appropriate estimate for the thickness of each piece of paper would be gotten by dividing 1.015 by 500. This will be:

= 1.015 / 500

= 0.00203

= 0.002 inches

Answer:

[tex]quadrilateral \: and \: parallelogram[/tex]

Answer: yes the answer is 2:5 it isn’t right in just saying sum things

Step-by-step explanation:

Answer:

1. Answer: F = P123,514.09

Step-by-step explanation:

1. Peter started to deposit P5,000 quarterly in a fund that pays 1% compounded quarterly. How much will be in

the fund after 6 years?

1. Answer: F = P123,514.09

The fund after six years is 123,514.09.

Given that,

Based on the above information, the calculation is as follows:

Given that,

PV = 5,000

PMT = 0

NPER = 24

RATE = 0.25%

The formula is

=-FV(RATE,NPER,PMT,PV,TYPE)

After applying the above formula, the future value be 123,514.09.

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Answer:

Parallel 6 10 13 17 and perpendicular 2 8 14 16 18 I think

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Answer:

multiplication and subtraction

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Edge 2020

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

[tex](25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216[/tex]

Taking square root on both sides

[tex]\sqrt{w^2}=\sqrt{216}\\w=14.70[/tex]

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

Answer:

The y intercept is 1 because that's there the line passes through the y line

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

because the y intercept is 1 because there is the line passes through the y line

Answer:

[tex]y = 2x - 5 - - - eqn \: (i) \\ 5x - 2y = 19 - - - eqn \: (ii) \\ substitute \: for \: y \: in \: eqn \: (ii) \: from \: eqn \: (i) \\ 5x - 2(2x - 5) = 19 \\ 5x - 4x + 10 = 19 \\ x + 10 = 19 \\ x = 19 - 10 \\ x = 9 \\ from \: eqn \: (i) \\ y = 2x - 5 \\ y = (2 \times 9) - 5 \\ y = 18 - 5 \\ y = 13[/tex]

Answer:

15.49

Step-by-step explanation:

A^2+B^2=C^2

Answer:

Well, 48 divided by 8 is 6. And 6 times 3 is 18. So I belive that there would be 18 bottles of paint.

Step-by-step explanation:

The number of bottles of paintbrushes is 18.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A ratio shows how often one number is contained in another.

For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given that the ratio of paintbrushes to bottles of paint in Ms. Nelson's supply closet is 8 to 3. If there are 48 paintbrushes.

The number of the bottles will be calculated as:-

P / B = 8 / 3

3P = 8B

3 x 48 = 8B

B = 3 x 6

B = 18

Therefore, the number of bottles of paintbrushes is 18.

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