how would I find the area and perimeter​

This is because alternate exterior angles are congruent when we have parallel lines like this.

Angle 2 and angle 8 are both outside the parallel lines, so that's what makes them exterior angles. Also, they are on alternating sides of the transversal line (angle 2 on the left, angle 8 on the right). So that's where the "alternating" comes from. The other pair of alternate exterior angles is angle 1 and angle 7.

Answer:

0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.

Step-by-step explanation:

We have that:

Carl's Jr on Monday.

On Tuesday:

40% probability of Carl's Junior.

100 - 40 = 60% probability of Wendy's.

On Wednesday:

If on Tuesday it was on Carl's Junior, 40% probability of Carl's Junior on Wednesday.

In on Tuesday it was on Wendy's, 100 - 10 = 90% probability of Carl's Junior on Wednesday.

What is the probability they'll eat lunch at Carl's Jr. Wednesday?

[tex]p = 0.4*0.4 + 0.6*0.9 = 0.7[/tex]

0.7 = 70% probability they'll eat lunch at Carl's Jr. Wednesday.

Answer:

Q.1 lx²+mx

=x(lx+m)

Q.2 x² - ax - bx + ab

= x(x - a) - b(x - a)

=(x - b)(x - a)

Q.3 6ab - b²+ 12ac - 2bc

= b(6a - b) - 2a(6a - b)

=(b - 2a)(6a - b)

Answer:

x=6 and y=−10

Step-by-step explanation:

You can also solve this system by elimination.)

6x+2y=16;2x−2y=32

Step: Solve6x+2y=16for x:

6x+2y+−2y=16+−2y(Add -2y to both sides)

6x=−2y+16

it's proceeds

Answer:

(x+2.25) ×24

This is how it is written

Answer:

Step-by-step explanation:

y = 24*(x + 2.25)

There, that's an algebraic expression for 24 times the sum of a number and 2.25.

Answer:

52

Step-by-step explanation:

hmm

Answer: C. O $8/hr

Step-by-step explanation:

To solve this, we divide 112 by 14.The answer is 8.

Answer:

a.

Step-by-step explanation:

Answer:

~55 ft

Step-by-step explanation:

15/1.5 = 555(12)=12x

180x = 9990

x = 55.5

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s        

First, we need to find the other side of the triangle:  

[tex]H^{2} = B^{2} + L^{2}[/tex]

[tex] L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}} [/tex]

Now, the area (A) of the triangle is:            

[tex] A = \frac{BL}{2} [/tex]  

Hence, the rate of change of the area is given by:

[tex] \frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}] [/tex]      

[tex] \frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}] [/tex]        

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}][/tex]  

[tex]\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9][/tex]      

[tex]\frac{dA}{dt} = 15.75 ft^{2}/s[/tex]  

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!                                    

The rate of change (ROC) of the area with respect to (w.r.t.) time can be

found from the ROC of the area w.r.t. x and the ROC of x w.r.t. time.

Reasons:

The length pf the ladder = 10 feet

Rate at which the ladder is pulled from the wall, [tex]\displaystyle \frac{dx}{dt}[/tex] = 9 feet per second

Required:

The rate at which the area of the triangle formed by the ladder, the wall

and the ground, is changing at the instant the ladder is 6 feet from the wall.

Solution:

The area the triangle, A = 0.5·x·y

Where;

x = The distance of the ladder from the wall

y = The height of the ladder on the wall

By Pythagoras's theorem, we have;

10² = x² + y²

Which gives;

y = √(10² - x²)

Therefore;

The area the triangle, A = 0.5 × x × √(10² - x²)

By chain rule, we have;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{dA}{dx} \times \frac{dx}{dt}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{d\left(0.5 \cdot x \cdot \sqrt{10^2 - x^2} }{dx} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}}[/tex]

[tex]\displaystyle \frac{dA}{dx} = \frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100}[/tex]

Therefore;

[tex]\displaystyle \frac{dA}{dt} = \mathbf{\frac{\left(x^2 - 50\right) \cdot \sqrt{100-x^2} }{x^2-100} \times 9}[/tex]

When the ladder is 6 feet from the wall, we have;

x = 6

[tex]\displaystyle \frac{dA}{dt} = \frac{\left(6^2 - 50\right) \cdot \sqrt{100-6^2} }{6^2-100} \times 9 = \mathbf{15.75}[/tex]

At the time the ladder is 6 feet from the wall, the area is increasing at 15.75 ft.²/sec.

Learn more about chain rule of differentiation here:

https://brainly.com/question/20341047

Answer:

This is how the graph will look like because I don't have a graph that why I use a note

Step-by-step explanation:

At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight

The temperature variations is represented on the graph attached with the answer.

A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

At 6am it is 56°.For the next 5hours it increases to 61° since it is 1° per hour and after 4 hours again it will increase to 69° because it is 2° per hour and it stayed steady till 6pm and it dropped the next 3 hours which the temperature now reduces to 66° and dropped steadily to 62° at midnight

To know more about Graph follow

https://brainly.com/question/4025726

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

All angles in a quadrilateral = 360°

b =?

b = 360 - (128 + 61 + 57)

b = 360 - 246

b = 114°

Answer:

About V≈113.1ft³

Step-by-step explanation:

Answer:

x = 3

y = 2

Step-by-step explanation:

Diagonals of a parallelogram bisect each other into two equal segments. Therefore:

3x - 1 = 2(x + 1)

Solve for x

3x - 1 = 2x + 2

Collect like terms

3x - 2x = 1 + 2

x = 3

Also:

5y + 1 = 6y - 1

Collect like terms

5y - 6y = -1 - 1

-y = -2

Divide both sides by -1

y = -2/-1

y = 2

Answer:

Yes, they are equal because of distributive property

Step-by-step explanation:

6(1 + m) = 6 + 6m

Answer:

the answer is 558175

may it help you

Answer:

The total number of pairs of jeans in her wardrobe is 15.

Step-by-step explanation:

We solve this question using proportions.

6 pairs of jeans represents 40% of the total.

The total is x. Using proportions:

[tex]\frac{6}{x} = \frac{40}{100}[/tex]

[tex]\frac{6}{x} = 0.4[/tex]

[tex]0.4x = 6[/tex]

[tex]x = \frac{6}{0.4}[/tex]

[tex]x = 15[/tex]

The total number of pairs of jeans in her wardrobe is 15.

9514 1404 393

Answer:

  $541.32

Step-by-step explanation:

Putting the given values into the given formula, you have ...

  V = P·e^(rt)

  V = $277e^(0.067·10) ≈ $541.32

Answer:

[tex]t = 0.875[/tex]

Step-by-step explanation:

Given

Brand A            Brand B

[tex]n_ 1= 12[/tex]               [tex]n_2 = 12[/tex]

[tex]\bar x_1 = 21.8[/tex]            [tex]\bar x_2 = 18.9[/tex]

[tex]\sigma_1 = 8.7[/tex]              [tex]\sigma_2 = 7.5[/tex]

Required

Determine the test statistic (t)

This is calculated as:

[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]

Calculate s using:

[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]

The equation becomes:

[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]

[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]

[tex]s = \sqrt{65.97}[/tex]

[tex]s = 8.12[/tex]

So:

[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]

[tex]t = \frac{2.9}{3.31296}}[/tex]

[tex]t = 0.875[/tex]

Answer:

I'm pretty sure this is obtuse because when you add all sides it gives you 135 and it has a 90-degree angle so if it's greater than 90 it's 100% obtuse.

Step-by-step explanation:

Answer: 51

Step-by-step explanation: QTR is the inscribed angle, so QTR = 1/2 * QSR, so QSR = 78. QSR is an isosceles triangle, since it uses the radius of the circle twice, so QRS = (180 - 78)/2 = 51

Answer:

There are 160 cats at the store.

Step-by-step explanation:

There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:

40 = 25%

40(4) = 25% (4)

160 = 100%

There are 160 cats at the store.

Answer:

160

Step-by-step explanation:

25%=1/4=0.25

=40×4

=160

Answer:

a. H0: p ≥ 0.50; HA: p < 0.50

b. H0: μ ≥ 10; HA: μ < 10

c. H0: μ = 250; HA: μ ≠ 250

Step-by-step explanation:

a. "I am going to get the majority of the votes to win this election."

This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be

H0: the probability of winning is more than 50 %

against the claim that

Ha: the probability of winning is less than 50%

So the best choice would be option c

H0: p ≥ 0.50; HA: p < 0.50

b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."

The claim is that the pizzas are less than 10 inches in size.

which can be written as alternate hypothesis

Ha: u < 10

so the best choice would be  option a

H0: μ ≥ 10; HA: μ < 10

c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."

In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.

the alternate hypothesis would be u ≠ 250 mg

Ha: μ ≠ 250  and the null hypothesis is the reverse of the aalternate hypothesis.

so the best option would be part a

H0: μ = 250; HA: μ ≠ 250

Answer:

Step-by-step explanation:

y=mx+b

y=5x-1

Answer:

Step-by-step explanation:

use the slope intercept from of a line, where

y = mx + b

we're given m , and b

y = 5x -1

that's your answer

$100 - $20 = $80

Understand?

4000 mcmcnxmamnxmxmnxnxns

Answer:

950 kilograms

Step-by-step explanation:

Fruit: vegetables = 5:7

Fruit = 5

Vegetable = 7

Total ratio = 5 + 7 = 12

If Hassan sells 1.33 tones of vegetables

1 tonne = 1000 kilograms

1.33 tonnes of vegetables = 1330 Kilograms of vegetables

how many kilograms of fruits did he sell?

Let kilograms of fruits sold = x

Fruit: vegetables = 5:7

Fruit: vegetables = x : 1330

5 : 7 = x : 1330

5/7 = x/1330

Cross product

5 * 1330 = 7 * x

6,650 = 7x

x = 6,650/7

x = 950 kilograms

kilograms of fruits sold = 950 kilograms