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Answer:

As x is the exterior angle

Step-by-step explanation:

therefore

let name the angle exterior angle be ACE

interior angleABC=76°and angleBAC=55°

sum of 2 interior angle is equal to exterior angle

=76+55=x

=131=x

Answer:

Positive 3/4

Step-by-step explanation:

TO find perpednicular you take the negative reciprical of the slope, so the reciprical of -4/3 is -3/4, now add the negative to get - - 3/4 or 3/4

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

Answer:

Yes.

Step-by-step explanation:

2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.

If two ratios are equal then the ratios are said to be in proportion and equivalent.

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.

We have,

Two ratios:

2/3 and 8/12

We will make the ratios in their simplest form:

2/3 is in the simplest form.

8/12 = 4x2/4x3 = 2/3 is the simplest form.

We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.

Thus,

The ratios 2/3 and 8/12 are equivalent.

The simplest form of both ratios is 2/3.

Learn more about ratios here:

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Answer:

Point D

because you go 5 to the right and 3 down.

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Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

Step-by-step explanation:

5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.

10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)

198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.

-3 > n is the same as n < -3 after you flip both sides and flip the inequality.

To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.

We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.

The graph is shown below.

Answer: strength used in an action - like lifting weights

Step-by-step explanation:

Force brings about the change in the motion or velocity of a particular object.

Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.

Answer:

A) 3.996 inches

B) 0.01

C) option B

Step-by-step explanation:

Note: The diameter of the lid is between : 3.95 and  4.05

A) calculate the supplier set mean diameter

std = 0.02 inch

P( x < 3.95 ) = 1% = 0.01

= P ( Z < [tex](\frac{3.95 - u }{0.02})[/tex] ) = P ( Z < -2.3263 ) = 0.01

therefore :

[tex](\frac{3.95 - u }{0.02})[/tex]  = -2.3263

hence : u = 3.996 inches ( mean diameter )

B) At mean diameter = 3.98 calculate the value of std

P ( X < 3.95 ) = 0.01

= P ( Z < [tex]( \frac{3.95-3.98 }{std } )[/tex] )  = P ( Z < -2.3263 ) = 0.01

therefore

[tex]( \frac{3.95-3.98 }{std } )[/tex] = -2.3263

hence std = 0.01 inch

C) option B is preferable because its mean diameter is smaller and  the percent of lids too large to fit is considered more carefully using option B

Answer:

Step-by-step explanation:

you make y2-y1 over x2-x1 with the points so -13-5 over -12- -6 and that equals -18 over -6 simplified to 3

Answer:

C.-2

Step-by-step explanation:

The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

Answer:

9/15

Step-by-step explanation:

because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.

Answer:

9/15

Step-by-step explanation:

you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator

Answer:

She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)

Step-by-step explanation:

This problem can be solved by using ratios and proportions.

Step 1: Identify the "knowns" from the "unknown."

It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.

The "unknown" here is the number of phone calls Daisy can make in 1 hour.

Step 2: The values should be plug into the proportion.

             [tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]

Step 3: We can now solve the proportion.

[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)

Step-by-step explanation:

[tex]14y - 2 = 40 > > 14y = 42 > > y = 3[/tex]

Answer:

y=3

Step-by-step explanation:

Remember PEMDAS

Answer:

epic

Step-by-step explanation:

Answer:

VERY EPIC

Step-by-step explanation:

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

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Answer:

y-intercept: (0, -2)

x-intercept: (6, 0)

Step-by-step explanation:

The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3(0) - 9y = 18[/tex]

[tex] - 9y = 18[/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2 so the y-intercept is (0, - 2).

The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3x - 9(0) = 18[/tex]

[tex]3x = 18[/tex]

[tex]x = 6[/tex]

When y = 0, x = 6 so the x-intercept is (6, 0).

Answer:

Step-by-step explanation:

0.416<0.42

because minimum value of 0.42=0.420

and 0.416<0.420

Answer:

21

Step-by-step explanation: