Question 17 of 25
Which is the graph of the following inequality?
1x1 <3
A
5
-4
-2
-1
0
1
2
3
4
5
B.
-5
4
3
2
1
0
1
2
3
4
5
C.
-5
-4
3
2
-1
0
1
2
3
4
5
D.
-5
-4
-3
-2
1
0
1
2
3
4
5
A. Graph A

The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.

Thus:

ΔADB and ΔCBE have:

Therefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

Learn more about the SAA congruence theorem on:

https://brainly.com/question/2102943

Answer:

y=2x-1

y=x+4/3

Step-by-step explanation:

Answer:

(1, 2)

Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

Since, solution of any system of linear equations is a common point of the two lines.

In other words, point of intersection of these lines represent the solution of linear system of equations.

Solution of the linear system of equations → (1, 2)

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

Therefore 3c = 4d = 180°, c = 60° and d = 45°.

Answer:

C = 100 + 40n

The independent variable is n (number of months) and the dependent variable is C ( total cost)

Step-by-step explanation:

Let the total cost of the fitness center = C

Given fixed cost = $100

given cost per month = $40

let number of month = n

The total cost of the fitness center in a given 'n' month is calculated as;

C = 100 + 40n

From the above equation;

the independent variable is n (number of months) and

the dependent variable is C ( total cost)

C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)

Answer:

Step-by-step explanation:

first one : 67/100 = .67 per sq feet

Second one: 130/200 = .65 per sq feet

Third one 240/400 = .6 per sq feet

Fourth one: 504/800 .63 per sq feet

so C is the best deal (C.

400 square feet of carpet for $240)

Answer:

75

Step-by-step explanation:

it will take 3 week for 3×25 and 5 week for 5×15. I hope this helps.

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

Answer:

c)-2 is greater than -6

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

multiply 900 by .025 to get 22.5.

When you multiply by a percentage to find an amount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you receive is the answer.. :)

Answer:

Given:

Principal= $5,000

After 3 years, Amount= $7,100

After 8 years, Amount= $10,350

Step-by-step explanation:

Interest after 3 years= $7,100- $5,000

                                   =$2,100

Interest in last 5 years= $10,350- $7,100

                                    =$ 3,250

Difference between first 3 years and last 5 years= $3,250- $2,100

                                                                                 =$1,150

Amount= Principal*[tex](1+r/100)^{t}[/tex]

10,350=5000[tex](1+r/100)^{8}[/tex]

[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]

2.07=[tex](1+r/100)^{8}[/tex]

[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]

1.095-1=[tex]\frac{r}{100}[/tex]

0.095*100=r

r=9.5%

Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]

                    =$475

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

Answer:

I think the correct answer of these qusion is g(x)=(x_2)2+3

Answer:

I use an app called Cymath to figure these kind of problems out i think it will help get your answer, it goes down step by step to show how it works.

Step-by-step explanation:

Answer:

2Girls:3Boys

Step-by-step explanation:

gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg

Answer:

You will save 6,500

Explanation:

There are 52 weeks in one year multiply 52 times 125

Answer:

yes i think so

Step-by-step explanation:

Answer:

A) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation:

Edge2020

Answer: A.) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation: edge 2023

9514 1404 393

Answer:

  15

Step-by-step explanation:

Solving for x, we have ...

  [tex]3x+\dfrac{2}{x}-4=2(x+9)-\left(7-\dfrac{1}{x}\right)\\\\3x+\dfrac{2}{x}-4=2x+18-7+\dfrac{1}{x}\\\\\boxed{x+\dfrac{1}{x}=15} \qquad\text{subtract $2x+\dfrac{1}{x}-4$}[/tex]

Answer:

multiplication

Step-by-step explanation:

Answer:

y = 18

Step-by-step explanation:

[tex] \frac{28}{36} = \frac{14}{y} [/tex]

[tex] \frac{28 \div 4}{36 \div 4} = \frac{14}{y} [/tex]

[tex] \frac{7}{9} = \frac{14}{y} [/tex]

[tex] \frac{7}{9} = \frac{14}{y} [/tex]

[tex]7y = 14 \times 9[/tex]

[tex]7y = 126[/tex]

[tex] \frac{7y}{7} = \frac{126}{7} [/tex]

[tex]y = 18[/tex]

Answer:

Step-by-step explanation:

Apply proportions

y =(36*14)/28 = 18

Answer:

40

Step-by-step explanation:

How many people i helped proves im right

Answer:

32.36

Step-by-step explanation:

Answer:

32.36

Step-by-step explanation:

You need to calculate the height of the cone which would be OV, not VB

Using Pythagorean theorem:

OV = sqrt(37^2-12^2)

OV = 35

Now you have the height to solve everything.

This is a semi circle so volume and surface area would be 1/2 of a full cone.

A) v = 1/2 x pi x r^2 x h/3

V = 1/2 x pi x 12^2 x 35/3

V = 1/2 x pi x 144 x 35/3

V = 840pi

B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))

Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))

Sa= 923.63 round as needed.

C) volume of hemisphere with 4cm diameter:

2/3 x pi x 2^3 = 5.33pi

Divide volume of semi cone by volume of hemisphere:

840pi/5.33pi = 157.5