What is the value of x?

Answers

Answer 1

Answer: straight line = 180, so 180-100=80, a triangle = 180, x equals to 180-(70+80) =30, the answer is a

Answer 2

Answer: This is actually a relatively simple problem, but because the other angle is missing, it seems complex.

The angle adjacent to the 100 degree outside the triangle is 80 degrees. We know this because it is a supplementary angle, or an angle that, when added along with another angle’s measurement, makes 180 degrees. The line is straight, so the other angle must be 80 degrees to add up with the 100 to make 180 degrees.

Now that we know the other unknown angle, we can use the fact that the sum of angles within a triangle make 180 degrees. The two angles inside the triangle that we know make 150 degrees (80 plus 50), so the final angle ‘x’ must be 30 degrees (180-150=30).

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Factorize (4y-5)²+80y
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A) Calculate the magnitude of the angle a in the diagram above. b) Find the length of OT
Factor the mn+5m-3n-15

The length of a rectangle is five more than the width. The perimeter is 170. Find the length and width. Write equation and solve.

Answers

170=2l+2w
l=w+5
w=l-5
170=2l+2(l-5)
170=2l+2l-10
180=4l
l=45
w=40

Final answer:

To find the length and width of a rectangle given the perimeter and the relationship between the length and width, we can set up an equation. By solving the equation, we can determine the dimensions of the rectangle.

Explanation:

Let's assume the width of the rectangle is x units. Given that the length is 5 more than the width, the length would be x + 5 units. The perimeter of a rectangle is given by 2(length + width), so we can write the equation as 2(x + 5 + x) = 170. Simplifying the equation, we get 4x + 10 = 170. Solving for x, we have x = 40. Therefore, the length is x + 5 = 45 units and the width is x = 40 units.

Learn more about Solving Equations here:

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!What are the zeros of the polynomial function?

Select EACH correct answer.

Answers

Answer: x = {-3, -1, 1, 7}

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 22x² + 4x + 21

possible roots are: +/- 1, 3, 7, 21

Let's try x = 1

1 | 1 -4 -22 4 21

| ↓ 1 -3 -25 -21

1 -3 -25 -21 0 remainder is 0 so (x - 1) is a factor

(x - 1)(x³ - 3x² - 25x - 21)

Next, let's try x = -1

-1 | 1 -3 -25 -21

| ↓ -1 4 21

1 -4 -21 0 remainder is 0 so (x + 1) is a factor

(x - 1)(x + 1)(x² - 4x - 21)

Then, factor the third polynomial

(x - 1)(x + 1)(x + 3)(x - 7)

Now, set each factor equal to zero and solve each one.

(x - 1) = 0 ⇒ x = 1

(x + 1) = 0 ⇒ x = -1

(x + 3) = 0 ⇒ x = -3

(x - 7) = 0 ⇒ x = 7

Answer:

-3, -1, 1, 7

Step-by-step explanation:

Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.

f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0

x = -3 is a solution

f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0

x = -1 is a solution

f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21

x = 0 is not a solution

f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0

x = 1 is a solution

f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192

x = 3 is not a solution

f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0

x = 7 is a solution

What is the greatest common factor of 8m, 36m3, and 12?

4
8
4m
8m

Answers

The greatest common factor is exactly as it sounds: the greatest factors of two or more expressions.

Factorize the numbers and identify all common factors. To get the GCF multiply all common factors:

$8m=2\cdot 2\cdot 2\cdot m,\n36m^3=2\cdot 2\cdot 3\cdot 3\cdot m\cdot m\cdot m,\n 12=2\cdot 2\cdot 3$ .

Common factors are: 2 and 2, their product is 2·2=4, then the greatest common factor is 4.

Hello,
the gcd is 4 .

How much helium to lift 1pound

Answers

About 13.4 cubic feet. (rounded)

Read the following paragraph and select the correct answer.For the night-wind has a dismal trick of wandering round and round a building of that sort, and moaning as it goes; and of trying, with its unseen hand, the windows and the doors; and seeking out some crevices by which to enter. And when it has got in; as one not finding what it seeks, whatever that may be, it wails and howls to issue forth again: and not content with stalking through the aisles, and gliding round and round the ...

Answers

OK. Even though you only gave me part of the paragraph, I read that much, and I think I'm ready to select the correct answer now. What are the choices ?

Which of the number(s) below are potential roots of the function?p(x) = x4 + 22x2 – 16x – 12

Answers

$Potential\ roots\ of\ the\ function:\n\np(x)=x^4+22x^2-16x-12\ are:\n\n\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\}$

Answer:

6,1,3

Step-by-step explanation:

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