Simplify the following by combining like terms:

1y - 8xy + 7x - 5y + 4xy + 9x

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

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

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

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Answer:

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Step-by-step explanation:

Least Common Multiple

We are given the polynomials

[tex]5m^7+ 35m^6+50m^5[/tex]

[tex]-20m^5-80m^4+100m^3[/tex]

Find the common factors of each polynomial, first the coefficients:

5 = 5

35 = 5*7

50 = 5*5*2

The common factor with the least exponent; 5

Now for the variables:

[tex]m^7, m^6, m^5[/tex]

The common factor with the least exponent; m^5

LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]

Similarly:

20 = 2*2*5

80=2*2*2*2*5

100 = 2*2*5*5

Common factor of the coefficients: 2*2*5=20

Common factor of variables: [tex]m^3[/tex]

LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]

LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]

Answer:

=  2.1 meters

Step-by-step explanation:

Answer:

4 times 15 = 60 answer 4

Step-by-step explanation:

4 times

15+15+15+15=60

Answer:

Step-by-step explanation:

(==========================)

(                        12.024               )

(                        12.04                 )

(                   1,204.2                   )

(==========================)

12.024          12.04        1,204.2

=========,=========,=========

hope this helps

Answer:

Step-by-step explanation:

Let the number be x, and we have equation:

The number is -1

Answer:

-1

Step-by-step explanation:

"a number" = x

-- "Two more than 16 times a number." | 16 times a number means "16x" | Two more than just means add 2.

(16x + 2)

-- "Is the same as" means equals.

(16x + 2) =

-- 21 less than the product of -7 and the number | The product of -7 and the number means "-7x" | 21 less than means subtract 21.

(16x + 2) = (-7x - 21)

-- solve for x.

(16x + 7x) = (-21 - 2)

-- combine like terms.

23x = -23

-- Divide.

x = -1

Answer:

4.5%

Step-by-step explanation:

I am pretty sure that 6 percent of 75 is 4.5..

I hope that this helps u

Answer:

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Step-by-step explanation:

Step(i):-

Given

                 h(t)=-16t²+100t   ...(i)

Differentiating equation (i) with respective to 't'

              [tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]

              -32t + 100 =0

            ⇒ -32 t = -100

           [tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]  

         t = 3.125 > 0

Step(ii):-

 Given h(t) = -16t²+100t  = 0

t ( -16 t + 100 ) =0

t =0 and  -16t = -100

t =0 and  t = 6.25

Step(iii):-

             h(t) = -16t²+100t ...(i)

put t=0  in equation (i)

           h(0) = 0

put t = 3.125 in equation (i)

h(t) = -16(3.125)²+100(3.125)

         h (t) =  156.25

Put t = 6.25

h(t) = -16(6.25)²+100(6.25)

    = 0

The maximum value h(t) = 156.25 at 3.125

final answer:-

The maximum height of the golf ball h(t) = 156.25m

The maximum height of the golf ball at  t = 3.125 seconds

Answer:

x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]

Step-by-step explanation:

Answer:

11.x=100

12.x=118

Step-by-step explanation:

using the interior angles theorem the space below x is 80 degrees

the space below 80 is x

Every paralellogram equals 360 degrees

add all angles and subtract from 360 to find x

80+80+x+x=160+x2

x2=200

x=100

Use the same thing for 12

62+62+X+X=360

124+2X=360

2X=236

x=118

i hope you understand

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

Answer:

3.11637

Step-by-step explanation

I got it right ayyy :p

Answer:

.

Step-by-step explanation:

Answer:

she spends 50% of her budget on her car

Step-by-step explanation:

300 is half of 600. I hope this helps :)

Answer:

0.545436

Step-by-step explanation:

First convert the fraction into a decimal

36/121 is 0.2975

Then find the square root which is 0.545436

Answer:

y = 2/3x + 1.5

Step-by-step explanation:

The Formula for that is

y = mx + b

m = slope

b =  y -intercept

so to find the slope I would do y/x or rise over run

So your slope is 2/3 ( it goes up 2 and right 3 times)

Since the line is going up and not down, it is a positive slope

y = 2/3x + b

we need to find where the line crosses the  vertical / y-axis and it's at the point.... (0,1.5)

y = 2/3x + 1.5

Hope this helped a little!

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

"It is a line that passes through two lines in the same plane at two different points."

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

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Answer:

-3 (-6)+1

18 +1

19

-3 (-2) +1

6 +1

7

-3(0)+1

0+1

1

-3(2) +1

-6 +1

-5

-3(6) +1

-18 +1

-17

Step-by-step explanation:

you plug in the numbers for x into the equation and solve, and that's the value that goes into the box below the number you just plugged in

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded

ok imma try...

Answer: the corresponding sides are proportional. and they arent the same shape, please correct me if im wrong

Answer:

10x-20y

Step-by-step explanation:

5 x 2x - 5 x 4y

10x - 20y

Answer:

10 • (x - 2y)

Step-by-step explanation:

Pull out like factors :

    2x - 4y  =   2 • (x - 2y)

Final Result:

 10 • (x - 2y)

Answer:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

Answer:

b

Step-by-step explanation:

just took the test edg 22

Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic function is f(x) = 4x²+24x+11

We have to find the zero of the function.

Let us use the quadratic formula to find the zero.

a=4, b=24 and c=11

Let us plug in these values in quadratic formula

x=- 24±√24²-4(4)(11)/8

=-24±√576-176/8

=-24±√400/8

=-24±20/8

=4(-6±5)/8

=(-6+5)/2  or -6-5/2

=-1/2 or -11/2

=-0.5  or -5.5

Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11

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Answer:

18 rotations.

Step-by-step explanation:

As there are 360 degrees in a circle, by proportion, the time for 1 rotation

= (360/107) * 1

= 3.364 minutes.

So the number of rotations in 1 hour (60 minutes)

=  60 / 3.364

= 17.83

Number of rotations does the pulley make in an hour is 18.

Here,

A pulley rotates through 107° in one minute.

What is rotations?

The action or process of rotating on or as if on an axis or center.

Now,

As there are 360° in a circle, by proportion;

Time for one rotation = (360/107) x 1

                                = 3.364 minutes

Hence, number of rotations in 1 hour

= 60 / 3.364

= 17.83

So, Number of rotations does the pulley make in an hour is 18.

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Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.