Explain how the exterior angle relates to the interior angles. A triangle has angles A, B, C. The exterior angle to angle C is angle D.

Answer:

[tex]x = -17[/tex]

Step-by-step explanation:

Step 1:  Subtract 32x from both sides

[tex]36x + 32 - 32x = 32x - 36 - 32x[/tex]

[tex]4x + 32 = -36[/tex]

Step 2:  Subtract 32 from both sides

[tex]4x + 32 - 32 = -36 - 32[/tex]

[tex]4x = -68[/tex]

Step 3:  Divide both sides by 4

[tex]4x / 4 = -68 / 4[/tex]

[tex]x = -17[/tex]

Answer:  [tex]x = -17[/tex]

Answer:

B is the correct answer

Answer:

31 degrees

Step-by-step explanation:

The 2 angles are vertical and vertical angles are always equal!! So, y=31 degrees. Hope it Helped!!

Answer:

See explanation.

Step-by-step explanation:

Hello, your question is not very clear.

Based on the limited information, this is how we go about it.

If the rate at which people learn about a secret is directly proportional to the number of people who know the secret and 20 people know it on day 2, then the unit rate is 10.

That is the constant of proportionality is 10.

The direct variation equation is

[tex]y = 10x[/tex]

We want to find how long it will take take for a whole school population of 4000 people to know the secret.

We put y=4000 and solve for x.

[tex]4000 = 10x[/tex]

[tex]x = 400[/tex]

Hence it will take 400 days.

Answer:

I think it’s ^ 105 is slightly more than 10 so 15-^105 is greater than 5

Step-by-step explanation:

That’s my guess

Answer:

^ 105 is slightly more than 10 so 15-^105 is Less than 5

Step-by-step explanation

I ready math

Answer: 0.21871

Step-by-step explanation:

28

14

7

3.5

1.75

0.875

0.4375

0.21871

Final answer:

To find the 8th term in a geometric sequence, identify the common ratio and use the formula for the nth term. The 8th term of the sequence is 1.75.

Explanation:

Geometric Sequence:

Identify the common ratio: The common ratio is found by dividing any term by the previous term in the sequence. In this case, the common ratio is 0.5 (14/28 = 0.5).

Find the 8th term: Using the formula for the nth term of a geometric sequence [tex](a_n = a_1 * r^{(n-1)}),[/tex] plug in [tex]a_1 = 28[/tex], r = 0.5, and n = 8 to find the 8th term.

The 8th term of the sequence will be equal to 1.75.

Answer:

36.7

Step-by-step explanation:

Divide it into 2 shapes: the cylinder and the cone

The volume of the cylinder is 1^2 * (13-2) * pi = 11pi

The volume of the cone is 1^2 * 2 * 1/3 * pi = 2/3 pi

11pi + 2/3pi = 11 2/3 pi

11 2/3 pi is approx. 36.7

Answer : The length of an edge of cube is, 10 inches.

Step-by-step explanation :

The formula used for area of cube is:

Area of cube = [tex]6a^2[/tex]

where,

a = edge

We are given that:

Area of cube = [tex]600in^2[tex]

Now put all the given values in the above formula, we get:

Area of cube = [tex]6a^2[/tex]

[tex]600in^2=6a^2[/tex]

[tex]a=10inches[/tex]

Therefore, the length of an edge of cube is, 10 inches.

The perimeter of the parallelogram with these vertices.(-2,2) ,(-2,-2) ,(6,-1) ,(6,-5) is 26 units.

In this explanation, we will find the perimeter of a parallelogram using its vertices' coordinates. The perimeter is the total length of all sides of the parallelogram. To find it, we'll apply the distance formula from coordinate geometry.

A parallelogram is a four-sided polygon with opposite sides parallel and equal in length. To calculate its perimeter, we need to find the lengths of all four sides and then add them together.

Step 1: Find the length of side AB.

Using the distance formula, the length of AB is

= √((-2 - (-2))² + (2 - (-2))²)

= √(0² + 4²)

= √16

= 4 units.

Step 2: Find the length of side BC.

Again, applying the distance formula, the length of BC is

= √((-2 - 6)² + (-2 - (-1))²)

= √((-8)² + 1²)

= √(64 + 1)

= √65 units.

Step 3: Find the length of side CD.

By using the distance formula, the length of CD is

= √((6 - 6)² + (-1 - (-5))²)

= √(0² + 4²)

= √16

= 4 units.

Step 4: Find the length of side DA.

Once more, applying the distance formula, the length of DA is

= √((6 - (-2))² + (-5 - 2)²)

= √((8)² + (-7)²)

= √(64 + 49)

= √113 units.

Step 5: Calculate the perimeter.

The perimeter is the sum of all four sides:

= AB + BC + CD + DA

= 4 + √65 + 4 + √113

≈ 4 + 8.06 + 4 + 10.63

≈ 26 units.

Therefore, the perimeter of the parallelogram defined by the given vertices is approximately 26 units.

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Answer:

See photo

Step-by-step explanation:

To graph a straight line, you need two points, then connect them.

Your first point is given: (-2, 4)

To get the next point, use the slope.

The slope 2/5 is written rise / run.

Rise is the number of units going up, or down if it's a negative number.

Run is the number of units rightwards.

Take the first point (-2, 4), and add the rise to the y-value. Add the run to the x-value.

x = -2, run = 5

New x = 3

y = 4, rise = 2

New y = 6

New point: (3, 6)

Plot the two points on the grid, then connect the dots.

Remember to put arrows at both ends of your graph.

Answer:

I NEED HELP ON A QUESTION LIKE THIS PLEASE

Step-by-step explanation:

Hope this will help u...:)

To find the maximum height reached by the rocket, we need to find the vertex of the quadratic equation. The maximum height is approximately 270.6 feet.

To find the maximum height reached by the rocket, we need to find the vertex of the quadratic equation. The equation is in the form of y = ax^2 + bx + c, where a = -16, b = 165, and c = 78. The x-coordinate of the vertex is given by -b/2a, and the y-coordinate is the value of y when x is the x-coordinate of the vertex. Plugging in the values, we find that the maximum height reached by the rocket is approximately 270.6 feet.

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Answer:

Answer is none of these

Step-by-step explanation:

ask questions with correct options.

anyway don't repeate the mistakes again.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Sum

Step-by-step explanation:

Its right

The degree of the product is the sum of the degrees of the factors.

The degree of a polynomial is the highest power of the variable in the polynomial.

The length of a box is (4x -1)

The width of a box is  x

The height of a box is x³

The volume of the box is determined by

Length * Width * Height

Volume =  (4x -1) * x * x³

Volume = 4x⁵ - 4x⁴

The degree of length is 1

The degree of width is 1

The degree of height is 3

The degree of Volume = 5

The degree of the product is the sum of the degrees of the factors.

It seems that your question is incomplete, the complete question is attached with the answer.

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Answer: 61740

Multiply

Answer:

where is the image?

Answer:

The answer is 12

Step-by-step explanation:

[tex]\frac{4x-4}{5x+10}*\frac{30x+60}{2x-2}[/tex] We need to factor the expression

[tex]\frac{2(2x-2)}{5x+10} *\frac{30x+60}{2x-2}[/tex] Now we reduce the expression

[tex]2*6[/tex] Then we multiply the numbers

[tex]12[/tex] Now we have the answer

In this example, the minute hand is our radius, because it’s half the internal length of the circle.

The circumference of the circle is equal to pi x diameter.

Since diameter is twice the radius, we can do 5.25 x 2 = 10.5.

From there, we can substitute and solve.

pi x diameter

pi x (10.5)

If we’re representing pi as 3.14, the answer will come out to 32.97.

If we’re representing pi in its calculator function form, it’ll be roughly 32.986723.

So either of those could be your answer depending on how pi is represented.

Hope that helps! :)

Answer:

324Pi

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because c is in ordered pair

Answer:

5 and 6

Step-by-step explanation:

it would be about 5.7 because the square root of 5 is 25 and the square root of 6 is 36

Answer:

1031 Meters

Step-by-step explanation:

You would use the Pythagorean Theorem to solve it which would be a^2 + b^2 = c^2 and a would be 800 and b would be 650 in this circumstance you would try to find C which would be glenn blvd.

The length of the Glenin Blvd road is 1030.77 m.

Step-by-step explanation:

Given,

Length if Main street (b) = 800 m

Length of Oak street (l) = 650 m

To find the length of Glenin Blvd (h) road

The given diagram forms a right angle triangle where Main street is the base, Oak street is the height and Glenin Blvd road is the hypotenuses.

Formula

Pythagoras theorem: b²+l² = h²

So,

h² = 800²+650²

or, h² = 1062500

or, h = 1030.77 (approx)

Hence,

The length of the Glenin Blvd road is 1030.77 m.

[tex] \bold{answer \: \: : } \\ \rm{volume = \frac{1}{3} \pi{r} ^{2} t} \\ = \frac{1}{3} \times 3.14 \times {(18 \div 2) }^{2} \times 8 \\ = \frac{1}{3} \times 3.14 \times {9}^{2} \times 8 \\ = \frac{1}{3 } \times {3.14} \times 81 \times 8 \\ = \frac{1}{3} \times 254.34 \times 8 \\ = \frac{1}{3} \times 2034.72 \\ = \frac{2034.72}{3} \\ = \boxed{ \boldsymbol{678.24 }\: \: \rm{units}}[/tex]

Answer:

1.

Step-by-step explanation:

That would be x^0 which is 1.

Any number, variable or expression taken  to the power  0 is equal to 1.

Answer:

1

Step-by-step explanation:

X2,x5,x°

X2=1,x,x

X5=1,x,x,x,x,x

X^0=1

So when comparing the factor is greater in the 3 give Variables

It was observed that 1 is the greatest variables

Hope this will help u..

Look at the attached picture...⤴⤴

Answer:

x=23/2+3y/2

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

y=mx+b

m is always the slope. In this m is 17.

The slope is the tangent of the curve thus the slope of y = 17x will be 17.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope could be positive or negative.

A linear equation or function is given as ;

y = mx + b

Here, m is the slope.

At x = 0 ⇒ y = b so it will be a y-intercept.

By comparing y = 17x

m = 17

Hence "The slope of the given line will be 17".

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Sunil can use scale factors to resize his photo. By multiplying the original dimensions by the scale factor, he can create photographs of different sizes. A scale factor greater than 1 will expand the photo, while a scale factor less than 1 will reduce its size.

Yes, Sunil can definitely use scale factors to make different sizes of the photo. The original dimensions of the photo are 2 inches by 3 inches. A scale factor is a number which scales, or multiplies, some quantity. In this context, the quantity is Sunil's original photo. If Sunil wanted to double the size of his photo, for example, he would use a scale factor of 2. This would make his new photo 4 inches by 6 inches.

Similarly, if he wanted to make his photo smaller, he could use a scale factor of less than 1. For example, a scale factor of 0.5 would result in a photo that is 1 inch by 1.5 inches. This is because 2 inches (width) times 0.5 equals 1 inch, and 3 inches (height) times 0.5 equals 1.5 inches.

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Answer:67

Step-by-step explanation:

42+30+79+99+72+24+89+91+78+69=673

673÷10=67.3

You divide by ten because that is how many numbers there are

Answer:

8

Step-by-step explanation:

4-2=2

2x9=18

18+6=24

24/4=6

6+2=8

=8

To solve the expression [6+9 x (4-2)] ÷ 4+2, use the order of operations (PEMDAS), resulting in the answer 8.

The subject of this question is Mathematics and it involves the steps of evaluating the given mathematical expression, [6+9 x (4-2)] ÷ 4+2, which is a task typically encountered in middle school.

To solve this problem, we employ the Order of Operations, which can be remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Solve the expression in the parentheses: 4-2 = 2

Multiply 9 by the result from the parentheses: 9x2 = 18

Add 6 to the product: 6+18 = 24

Divide the sum by 4: 24 ÷ 4 = 6

Add 2: 6+2 = 8

Thus, [6+9x(4-2)] ÷ 4+2 equals 8.

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