In the figure shown, which theorem can be used to show that ABC = ADEF?

O A The triangles are not congruent.
OB SAS Triangle Congruence Theorem
OC AAS Triangle Congruence Theorem
OD ASA Triangle Congruence Theorem

Answer:

call 911 if you are in a emergency.

Answer:

c

Step-by-step explanation:

y = -5/2 + b (substitute the co-ordinates in y and x)

5 = -5/2 × (-2) + b

5 = 5 + b

b = 5-5

b = 0

Answer:

131.58 feet

Step-by-step explanation:

Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).

So, we find the distance, d between the Ferris wheel and the swing using

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).

Now  (x₁, y₁) = (95, 156) and  (x₂, y₂) = (-23, 124)

So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-23 - 95)² + (124 - 156)²]

d = √[(-118)² + (-68)²]

d = √[13924 + 4624]

d = √18548

d = 136.191 feet

Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet

We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use

d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now  (x₁, y₁) =  (0, 0)  and  (x₂, y₂) = (95, 156)

So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]

d" = √[(95 - 0)² + (156 - 0)²]

d" = √[95² + 156²]

d" = √[9,025 + 24,336]

d" = √33,361

d" = 182.65 feet

Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel =  d" - d'

= 182.65 feet - 51.07 feet

= 131.58 feet

As per linear equation, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.

Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.

Therefore, x ×  [tex]\frac{1}{4}[/tex]  =  [tex]\frac{5}{8}[/tex]

⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)

⇒ x = 2.5

Therefore, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

Learn more about linear equation here: https://brainly.com/question/18761688

#SPJ2

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

[tex]Difference = 4 * 3 - 3 * 3[/tex]

[tex]Difference = 12 - 9[/tex]

[tex]Difference = 3[/tex]

Hence, Joe reads 3 more books

Option D answers the question.

Answer: The probability of spinning a 3 is 1/9

Step-by-step explanation:

If there are 9 equal sections, that means there is an equal percent chance for each number to be landed on. Since there are 9 pieces, the denominator would be 9. There's a 1/9 chance because it is 1 section out of 9.

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

Answer:

What do you mean???

Step-by-step explanation:

Answer:

[tex]n = - \frac{170}{3} [/tex]

Ayan po ng answer sana makatulong

#carrying_learning

Step-by-step explanation:

Firtsly we know that the slopes must be perpendicular, which means the equations slope would be

[tex] - \frac{1}{2} [/tex]

Now with the slope we can find the y-intercept, which is

[tex]1[/tex]

Therefore the equation is

[tex]y = - \frac{1}{2} x + 1[/tex]

Answer:

22.7?

Step-by-step explanation:

Answer:

8.02,8.025,8.2,8.225

Step-by-step explanation:

Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Answer:

Yes

Step-by-step explanation; vertical line test!!! have a great day

32°

Step-by-step explanation:

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Answer:

x=80

Step-by-step explanation:

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

Answer:

x < -115

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define inequality

-3 - x - 27 > 85

Step 2: Solve for x

Here we see that any number x smaller than -115 would work as a solution.

Answer:

The formula for slope:

[tex]y2-y1/x2-x1[/tex]

so[tex](3-9)/(-10--15)[/tex]

which is

this:[tex]-6/5[/tex]

so the slope is

this:    [tex]-6/5[/tex]

Hope this helps :D

Answer:

43

Step-by-step explanation:

56-13=43............

Answer:

d = 43

Step-by-step explanation:

56 = 13 + d  Subtract 13 from 13 and subtract 13 from 56.

43 = d

Answer:

47.33

Step-by-step explanation:

I solved it on paper

Answer:

142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3

Step-by-step explanation:

142/3=47.3333333

47.3333333333 = 47 1/3

Answer:

There is no graph

Step-by-step explanation:

Answer:

the blank is 2 <3

Answer:

2

Step-by-step explanation:

You can do the inverse to find the answer like this.

8-6=