Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answer:

15

Step-by-step explanation:

(12/8) ×10 is the correct answer

If triangle JKL is similar to triangle RST then the value of x is 15.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Triangle JKL is similar to triangle RST

Let us find the value of x by forming a proportional equation

10/x = 8/12

Apply cross multiplication

120=8x

Divide both sides by 8

x=15

Hence, if triangle JKL is similar to triangle RST then the value of x is 15.

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Answer:

Ok so it is a function

A. Yes; no value in the domain corresponds to more than one value of the range.

Step-by-step explanation:

Since there is one value of  

y

for every value of  

x

in  

( 2 , 5 ) ,

( 3 , − 5 ) ,

( 4 , 5 ) ,

( 5, -5) , this relation is a function.

The relation is a function.

Answer:

1=True

2=false

3=False

4=True

5=False

6=False

7=True

8=False

9=true

Step-by-step explanation:

As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.

Parallel lines are coplanar straight lines that do not intersect at any point.

We have,

Parallel lines L and M ,

Transversal line N,

[tex]\angle 2 =125^0[/tex], [tex]\angle 5 =55^0[/tex]

Now,

Using the Parallel lines properties,

Hence, we can say that As Parallel lines L and M are intersected by line N, so given questions have following answers True, False, False, True, True, True, True, False, False, False.

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Answer: -38

Step-by-step explanation:

Answer:

2 is what is it

Step-by-step explanation:

Answer:

13.5 ounces

Step-by-step explanation:

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

Answer:

Y intercept (0, 0.4)

x intercept (0.3, 0)

Step-by-step explanation:

no need explanation. it ia clear from the picture.

Answer:

Y-intercepts 0,0.4

X-intercepts 0,0.3

Answer:

10

Step-by-step explanation:

Use the distance formula.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

We have x1 = 2; y1 = 0; x2 = -6; y2 = 6.

[tex] d = \sqrt{(-6 - 2)^2 + (6 - 0)^2} [/tex]

[tex] d = \sqrt{(-8)^2 + 6^2} [/tex]

[tex] d = \sqrt{64 + 36} [/tex]

[tex] d = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Answer: 10

Answer:

Yesss, that's correct!

Step-by-step explanation:

Good luck!!!!

Answer:

75

Step-by-step explanation:

its right

Answer:

75 degrees

Step-by-step explanation:

delta math told me

Step-by-step explanation:

He jarred 21 in 7 days because there is 3 liters per day

Answer:

0.9 cm

Step-by-step explanation:

c is the length of the side. a is the altitude. b is the base. a is the vertical bisector if the base, so the base is 0.5 cm.

c² = a² + b²

1² = a² + 0.5²

1² - 0.5² = a²

1 - 0.25 = a²

√0.75 = a

0.8660254 = a

round to 0.9

Answer:

72

Step-by-step explanation:

As 3 lions & 3 tigers are to be arranged in a way that lions are not together. It can be done as per following arrangements

LTLTLT , or TLTLTL

Lions can be positioned in six ways, Tigers can also be positioned in 6 ways. There are two alternative positions.

Hence the arrangement can be done in 2 x 6 x 6 = 72 ways  

The different ways should be 72.

As 3 lions & 3 tigers are to be arranged

So, it can be

LTLTLT , or TLTLTL

Now the arrangement should be

[tex]= 2 \times 6 \times 6[/tex]

= 72 ways  

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Answer:

176

Step-by-step explanation: Teachers correction 119 minus 57

Answer:

i d k

Step-by-step explanation:

look it up

Answer:

I don't sleep

Step-by-step explanation:

Answer:

12 + 4x

Step-by-step explanation:

You take all of the ones which you can group together and so, you can take the 5+7 and make it 12 and the 2x + 2x = 4x. I hope this helps!

Answer:

the X intercept is the horizontal line on the cordintae plane while the Y intercept is the vertical line :)

Step-by-step explanation:

Answer:

x -intercept- the point where the line cuts across the x-axis. the coordinate is always in the form (0, y)

y -intercept- the point where the line cuts across the y-axis. the coordinate is always in the form (x, 0)

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9

8v + 8b = 240

4v + b = 54

------

Modify:

8v + 8b = 240

8v + 2b = 108

------

Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

-----

Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)

Answer:

hi its  been a good minute since we talked i hope ur okay

Step-by-step explanation:

Answer:

[tex]LO = 14 \\ NO = 14[/tex]

Step-by-step explanation:

[tex]m + 7 = 2m \\ 2m - m = 7 \\ m = 7 \\ (7 + 7) = LO \\ (2 \times 7) = NO[/tex]

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

cxv

Step-by-step explanation:

xcv

Answer: 13/8 or 1.625

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

let 'n' = original value

(17.1 - n) / n = -85/100

cross-multiply:

1710 - 100n = -85n

1710 = 15n

n = 1710/15

n = 114

Answer: 3x+6=9

3x=3

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

To solve this, we must first isolate the variable 'x':

3x + 6 = 9

      -6   -6

3x = 9 - 6

Combine like terms

3x = 3

Isolate 'x' fully

3x = 3

/3    /3

x = 1

Hope this helps :)