OXYZ is a pyramid whose base is a right-angled triangle where XY = 7 m and YZ = 4 m. Given that the height of the pyramid is 5 m, find its volume. ​ please answer

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B

Answer:

[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]

________o____o_____

30–(x+5)=7x-7

30 – x–5 =7x -7

7x+x = 30-5+7

8x = 32

x= 32/8

x=4

I hope I helped you^_^

Answer:

- and+

Step-by-step explanation:

Answer:

1.3x, -2.7, x^2 (x squared), -5.4x, +3 are the terms. hope this helps

Step-by-step explanation:

- Zombie

Answer:

Step-by-step explanation:

Given,

[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]

Now,

[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]

[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]

[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]

[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]

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Answer:

v = 0

Step-by-step explanation:

-2 (1 - 5v) = - (2 - 4v)

Simplify the equation down to the following:

-2 + 10v = -2 + 4v

Do the inverse operation for each side:

10v = 0 + 4v

6v = 0

6v/0 = 0/0

No solution

: 2(2x-7)+2(4x+3)=112

Step-by-step explanation:

Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2l + 2w

l = length

w = width

Solve:

Given information

l = 2x - 7

w = 4x + 3

Perimeter = 112 cm

Given expression

Perimeter = 2l + 2w

Substitute values into the expression

[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]

Expand parentheses

112 = 4x - 14 + 8x + 6

Combine like terms

112 = (4x + 8x) + (6 - 14)

112 = 12x - 8

Add 8 on both sides

112 + 8 - 12x - 8 + 8

120 = 12x

Divide 12 on both sides

120 / 12 = 12x / 12

[tex]\boxed{x=10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2/18, or 1/9

Step-by-step explanation:

Lets start by finding out how many red, glass marbles there are.

Half of the red marbles of glass, and there are four red marbles. All we need to do is divide 4 by 2.

4/2=2

There are two glass marbles.

Now we just need to add the number of red marbles to yellow marbles. That would be 14+4, which is 18.

In conclusion, there are 2 red marbles, and 18 marbles in total, so it would be 2/18. Simplified, it would be 1/9.

Answer:

5

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

Answer: 1/2 < 0.65 < 2/3 < 6.5

Step-by-step explanation:

Given information

0.65, 6.5, 2/3, 1/2

Convert fractions into decimals

0.65 = 0.65

6.5 = 6.5

2/3 = 0.67 (Rounded to hundredth place)

1/2 = 0.5

Arrange decimals from least to greatest

0.5 < 0.65 < 0.67 < 6.5

Convert terms back to the given form

1/2 < 0.65 < 2/3 < 6.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2

Step-by-step explanation:

x:14 = 1:7

x/14 = 1/7

x = 14/7

=> x = 2

Answer:

x = -15

Step-by-step explanation:

Subtract x on both sides

x + 5 = -10

Subtract 5 on both sides

x = -15

Check work:

2(-15) + 5 = -15 - 10

-30 + 5 = -25

-25 = -25

Answer:

1.69s^2h/3.

Step-by-step explanation:

New s = 1.3s

New volume = (1.3s)^2h /3

= 1.69s^2h/3.

Answer:

all real numbers

Step-by-step explanation:

The equation of x has No solution.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

−3x − 3 = −3(x + 1)

Expanding the brackets we get,

−3x − 3 = −3x − 3

Collecting like terms together we get,

−3x +  3x = −3 + 3

Solving we get,

0 = 0

So, this equation has no solution.

Thus, the equation of x has No solution.

To learn more about equations here :

https://brainly.com/question/14427555

#SPJ2

Answer:

equal to

Step-by-step:

Again, the mean reflects the slanted the most.

To summarize, generally if the distribution of data is slanted to the left, the mean is less than the median, which is often less than the mode. If the distribution of data is slanted to the right, the mode is often less than the median, which is less than the mean.

Answer:

Equal

Step-by-step explanation:

The median is the midmoint of all points (as many values below as above this value). The mean is the (sum of values) / (count of values). Since every value has the exact same count, the mean and median will be the same.

Answer:

30

Step-by-step explanation:

just divide 60 by 2

If the distance between Nikki's cousin and Nikki is 60 miles and covered in 2 hours then the speed of the train is 30 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Nikki's cousin lives 60 miles away, so Nikki decided to take the train to visit him. If the trip took 2 hours. Then the speed of the train will be

[tex]\rm Speed = \dfrac{60}{2}\\\\Speed = 30 \ miles/hour[/tex]

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Answer:

[tex] {(x - 7)}^{2} \\ = {x}^{2} - 2 \times x \times 7 + {7}^{2} \\ = {x}^{2} - 14x + 49 \\ thank \: you[/tex]

Step-by-step explanation:

( x - 7)^2 is the same as :

( x - 7)* ( x - 7)

x ( x - 7) - 7(x - 7)

x² - 7x - 7x + 49

x² - 14x + 49

hope this helps

Answer:

Area = 142 cm^2, Volume = 105 cm^3

BRAINLIEST, PLEASE! (ALMOST AN ACE!)

Step-by-step explanation:

Area: lb + bh + lh

l = 7, b = 5, h = 3

2((7)(5) + (5)(3) + (7)(3))

2(35 + 15 + 21)

2(50 + 21)

2(71)

142 cm^2

Volume: lbh

l = 7, b = 5, h = 3

(7)(5)(3)

35(3)

105 cm^3

Answer:

65°

Step-by-step explanation:

Step-by-step explanation:

I guess the answer is $200

I'm just guessing tho

Answer:

thus is so easy

Step-by-step explanation:

too easy

Answer:

108 cm²

Step-by-step explanation:

A = πr²

A = 3 * 6²

A = 3 * 36

A = 108

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Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103