HELP. I DONT WANNA FAIL

The exterior angle of a triangle is equal to the sum of 2 opposite interior angles of the triangle.

Here,

2 opp. interior angles = 30° & (4x + 2)°

Exterior angle = (8 + 6x)°

So,

8 + 6x = 4x + 2 + 30

8 + 6x = 4x + 32

8 - 32 = 4x - 6x

-24 = -2x

=》 12 = x

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

4/3

Step-by-step explanation:

You can simplify the exponent expression using exponent rules. The rules are:

A positive exponent is the number of times the base multiplies by itself.

A negative exponent is the number of times the base divides itself.

Multiplying same bases with exponents is simplified by adding the exponents.

Dividing same bases with exponents is simplified by subtracting the exponents.

A zero exponent always evaluates as 1.

The expression \frac{4^{-3}3^44^2}{3^54^{-2}}

3

5

4

−2

4

−3

3

4

4

2

can be simplified first using the negative exponent rule to move base with negative exponent to the other part of the fraction.

\frac{4^{-3}3^44^2}{3^54^{-2}} = \frac{4^{2}3^44^2}{3^54^{3}}

3

5

4

−2

4

−3

3

4

4

2

=

3

5

4

3

4

2

3

4

4

2

Now use the multiplication rule to simplify numerator and denominator.

\frac{4^{2}3^44^2}{3^54^{3}} = \frac{4^{2+2}3^4}{3^54^{3}} = \frac{4^{4}3^4}{3^54^{3}}

3

5

4

3

4

2

3

4

4

2

=

3

5

4

3

4

2+2

3

4

=

3

5

4

3

4

4

3

4

Finally, use the division rule to reduce the fraction.

\frac{4^{4}3^4}{3^54^{3}}= 4^{4-3} 3^{4-5} = 4*3^{-1} = \frac{4}{3}

3

5

4

3

4

4

3

4

=4

4−3

3

4−5

=4∗3

−1

=

3

4

Answer:

why?

Step-by-step explanation:

Answer:thank

have a great day

Answer:

(-7,8), (2,1),(-8, -9), (-8,6)

Step-by-step explanation:

the x values repeat

The x values are not supposed to repeat to create a function

Answer:

15 times

Step-by-step explanation:

The relative velocity of one plane with respect to the other plane is given

by the sum of the velocity of the two planes.

Reasons:

The distance between the two airports = 2,400 km

Speed of the plane from NAIA = 800 kilometer per hour

Speed of the plane coming from SIN = 640 kilometers per hour

Let t represent the time after which the two planes meet, we have;

800 × t + 640 × t = 2,400

[tex]\displaystyle t = \frac{2,400 \ km}{800 \ km/hr + 640 \ km/hr} = \frac{5}{3} \ km/hr = 1.\overline 6 \ km/hr[/tex]

The time after which the two planes meet, t = [tex]\underline{1. \overline 6 \ km/hr}[/tex]

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Answer:

The ramp is changing over time

It affects its accelaration because its going at different speeds

Thats all i can help you with now

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

If ABCD is dilated by a scale factor of 1/2

then A'B'C'D' becomes half the size of ABCD

so if side D'A' is 3.5

Then D'A' = 1/2 DA

3.5 = 1/2 DA

DA = 7

Answer:

13.

parallel: y = 1/3x -3

perpendicular: y = -3x - 3

14.

parallel: y = 4x - 1/2

perpendicular: y = -1/4x - 1/2

15.

parallel: y = -2x + 4

perpendicular: y= 1/2x + 4

16.

parallel: y = -2x-2

perpendicular: y= 1/2x-2

17.

parallel: y = -2x+8

perpendicular: y= 1/2x + 8

Step-by-step explanation:

A perpendicular has a negative reciprocal slope and a parallel has the same slope

Answer:

y = 20 degrees.

Step-by-step explanation:

Both base angles are 25 degrees so 5x = 25 giving x = 5.

3y + 70 = 180 - 2(25) = 130

3y = 130 - 70 = 60

y = 60/3 = 20.

Using the formula for the margin of error, it is found that Haley should sample 12,724 soldiers.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Estimate of the proportion of 64%, hence [tex]\pi = 0.64[/tex].

94% confidence level

So [tex]\alpha = 0.94[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so [tex]z = 1.88[/tex].  

Margin of error of less than 0.008 is wanted, hence, we have to find n when M = 0.008.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.008 = 1.88\sqrt{\frac{0.64(0.36)}{n}}[/tex]

[tex]0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)}[/tex]

[tex]\sqrt{n} = \frac{1.88\sqrt{0.64(0.36)}}{0.008}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.88\sqrt{0.64(0.36)}}{0.008})^2[/tex]

[tex]n = 12723.84[/tex]

Rounding up, Haley should sample 12,724 soldiers.

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Answer:

Answer:

answe are ,

1). (n+10)

2) (3n+4)

3). (7x -9)

4). (x+6)

5). (5x+2)

6). (x+10)

Answer:  y = 7x

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

In this case, the y-intercept is 0.

Slope = (y2 - y1) / (x2 - x1)  

           = (7 - 0) / (1 - 0)

           = 7 / 1

           = 7

Plug in the slope and y-intercept, we get y = 7x + 0 = 7x

Answer: There are 640 kilocalories in the 2 cups of dog food.

Step-by-step explanation: I hope it helps you!

Answer:

It's 3 [tex]\frac{7}{10}[/tex]

Hope that helps and that I didn't take too long.

To find the mixed number, take how many times that the denominator (bottom number) can divide into the numerator (top number). In this case, it is 3 times, with 7 remaining. So, it will be [tex]3\frac{7}{10}[/tex].

Answer:

Step-by-step explanation:

b

Answer:

A.

B. (if the black block represents a multiplication sign)

D.

Step-by-step explanation:

We have the expression "Nine more than the product of 5 times the number of tires t". Let's focus on nine more to cross out some answers, "nine more than the" indicates that there must be a certain operation to happen first before 9 is added onto it. So cross out the answers that do not have this property. C and E.

Leaving us with the only last three answers that represent it. (If B. is a multiplication sign)

Answer:

3 squear meator of concrete

Step-by-step explanation:

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = 4x + 3

The graph of the line crosses the y-axis when x = 0.

This is called the y-intercept.

There are two ways to get the y-intercept point.

From the definition of the equation of a line in slope intercept form we have,

y = mx + c

Where c is the y-intercept.

y = 4x + 3

So,

c = 3

We can also find the y-intercept when x = 0.

y = 4x + 3

y = 4 x 0 + 3

y = 3

Thus,

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

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Answer:

-6 on edge

Step-by-step explanation:

Consider the cubic equation,

x³ - x² = 9 (x - 1)

We can solve this by factoring:

x³ - x² - 9x + 9 = 0

x² (x - 1) - 9 (x - 1) = 0

(x² - 9) (x - 1) = 0

(x - 3) (x + 3) (x - 1) = 0

So the cubic has roots at x = 3, x = -3, and x = 1. Split the real line into the open intervals (-∞, -3), (-3, 1), (1, 3), and (3, ∞). Check if the inequality holds for some test point taken from each interval:

• in (-∞, -3), take x = -4. Then

(-4)³ - (-4)² = -80

9 (-4 - 1) = -45

but -80 > -45 is not true. So this interval is not in the solution set.

• in (-3, -1), take x = -2. Then

(-2)³ - (-2)² = -12

9 (-2 - 1) = -27

and -12 > -27 is true. So x in (-3, -1) satisfies the inequality.

• in (1, 3), take x = 2. Then

2³ - 2² = 4

9 (2 - 1) = 9

but 4 > 9 is not true.

• in (3, ∞), take x = 4. Then

4³ - 4² = 48

9 (4 - 1) = 27

and 48 > 27 is true.

So, the complete solution set is

(-3, -1) U (3, ∞)

(where U denotes union)

Answer:+0.5 is the slope

Step-by-step explanation:

(-2,-4) (-1,-3.5) (0,-3) (1,-2.5) (2,-2)

Answer:

320 rolls

Step-by-step explanation:

Because there are ten boxes, and four packages fit into one box, 40 packages fit into ten boxes. If you then multiply 40 by 8, you get 320. You multiply 40 by 8 because 8 rolls of paper towels fit into one package.