Find the value of X and perimeter.

Answer:

90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.

Step-by-step explanation:

67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.

22.5 and 90 added is 112.5 which is an obtuse angle

60 and 120 added is a supplementary angle because 60 + 120 is 180

135 and 45 is also a supplementary angle because 135+45 = 180

Answer:

7.6

Step-by-step explanation:

a^2 + b^2 = c^2

6.5^2 + x^2 = 10^2

42.25 + x^2 = 100

isolate x by subtracting 42.25 on both sides

x^2 = 57.75

square root of 57.75 or 7.6

Concept :-

⠀

We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.

Solution :-

⠀

Let us assume the missing angle to be x,

Therefore,

→ 66° + 71° + x = 180° ( Angle sum property of a triangle )

→ 137° + x = 180°

→ x = 180° - 137°

→ x = 43°

Thus, the measure of the missing angle is 43°.

Hope that helps :)

Answer:

28?

Step-by-step explanation:

Answer:

○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]

I am joyous to assist you at any time.

Answer: C

Step-by-step explanation:

the equation for X is

[tex]\frac{2+x}{2} =\frac{8}{1}[/tex]  use proportion to solve

2 + x = 16

x = 14

(14,y)

The equation for Y is

[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve

-1 + y = 6

y = 7

(14,7)

now use the distance formula

(14,7) (2,-1)

which gets you 14.4 or C

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]

Thus the missing side length is 8 cm

Hope that helps!

Answer:

A. 3.    B. 20

Step-by-step explanation:

2 divided by 2/3 is 2/ 2/3 or  6/2   which is 3.

3 divided by 1/10 is  3/ 1/10 or 30.

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736

Answer:

$1225

$33,775

Step-by-step explanation:

Given:

To find a percentage of an amount, convert the percentage into a decimal and multiply it by the amount:

3.5% = 3.5/100 = 0.035

⇒ Decrease in price = 0.035 × 35000 = $1225

Price of next model = price of current model - decrease in price

                                 = 35000 - 1225

                                 = $33,775

Decrease amount:-

So

New price:-

Answer:

  (d)  N = 25

Step-by-step explanation:

The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.

  (4/5)N = 20

  (5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient

  N = 25 . . . . . simplify

Answer:

Athletes swim 3/20 kilometer for every kilometer they run.

Step-by-step explanation:

3/20 = .15

multiply 10 by 3/20

10 * .15 = 1.5

Answer:

3/20 kilometers for every kilometer ran

Step-by-step explanation:

divide

Answer: 615.44 m^3.

Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height.  The equation is given below:

π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.

Now, we need to substitute the values with the information that is given.  π ≈ 3.14:

3.14 x 7^2 x 12 ≈ 1846.32.

We are not finished yet!  A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:

1/3 x 1846.32 ≈ 615.44 m^3.

Hope this helps! :)

Answer:

y = -3

Step-by-step explanation:

y = | x | - 4

y = | -1 | - 4

y = 1 - 4

y = -3

Comment any questions!

Answer:

-1

Step-by-step explanation:

-b+10b+2b+17=6

9b+2b+17=6

11b+17=6

11b=6-17

11b=-11

b=-1

180-135=45

Step-by-step explanation:

the angles should total 360.

the opposite angle R is 135 and is equal to P

S is equal to Q so that can help

Cost is 6 USD

Selling price is 6 + markup

Markup = 6 * 120 /100 put this expression and check again selling price

Selling price =  6 + (6 * 120) / 100

= 13,2 usd

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer: See below

Step-by-step explanation:

The function of the seat’s height from the ground level is given as,

[tex]h(t)=-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1[/tex]

Here, t denotes the time.

(a) The height will be maximum or minimum when the derivative of the function of height is equal to zero.

[tex]\begin{aligned}h^{\prime}(t) &=0 \\\frac{d}{d t}\left(-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1\right) &=0 \\-1.1 \times \frac{2 \pi}{3}\left(-\sin \left(\frac{2 \pi}{3} t\right)\right) &=0 \\t &=0,1.5\end{aligned}[/tex]

The height of the seat at time t = 0 s can be determined as,

[tex]\begin{aligned}h(0) &=-1.1 \cos \left(\frac{2 \pi}{3}(0)\right)+3.1 \\&=2 \mathrm{ft}\end{aligned}[/tex]

Therefore, the maximum height of the swing is 4.2 ft and the minimum height of the swing is 2 ft.

(b) The height of the swing is given as,

[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\t &=0.7 \mathrm{~s}\end{aligned}[/tex]

Therefore, the first time after t = 0 s that the swing’s height of 3 ft is 0.7 s.

(c) The height of the swing is given as,

[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\\frac{2 \pi}{3} t &=1.47976+2 \pi \\t &=3.7 \mathrm{~s}\end{aligned}[/tex]

Therefore, the second time after t = 0 s that the swing’s height of 3 ft is 3.7 s.

The doctoral degree educational level has the highest median income

Education level refers to the years of formal instruction received and successfully completed.

From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)

Find out more on educational level at: https://brainly.com/question/2987151

Answer: Bachelor's Degree, and Male

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

When solving the perimeter you add up all the numbers on the outside of the shape

The graph of the weight function w = 20n is an illustration of linear equations

The expected weight of honey per hive is 20 pounds

The equation of the model is given as:

w = 20n

To plot the graph, we use the following representations

See attachment for the graph of w = 20n

The graph shows that:

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Please don't spam the questions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since it must be an integer, 5 would make it up to the full length of the longest line. What you get is not quite a triangle. The way to get a triangle is to add one more to the 5 to make 6

Answer: 6 cm

Answer:

a)x=12

b)64 degress

Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).

Answer:

You have a deficit of $142.20

Step-by-step explanation:

Given

Solving