Angelica calculated the distance between the two points shown on the graph below.

On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).

Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.

Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.

Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.

Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.

She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The length of the side AB is 8 units, which Angelica calculated correctly.

What is the distance formula between two points?

The distance formula between two points,

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the given information AC = 6 units and BC = 10 units.

Therefore, The length of the side AB² = 10² - 6².

AB² = 100 - 36.

AB² = 64.

AB = 8 units.

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Related Questions

5 more than the product of a number and 4 is equal to 3 use variable y for unknown number

Answers

Answer:

[tex](y + 4) + 5 = 3 \\ y + 9 = 3 \\ y = - 6 \\ [/tex]

I'm not sure

Is parallelogram VWXY a rhombus?

Answers

Answer:

it is a a rhombus......... parallelogram is also called as a rhombus....

Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,

Answers

box 1: 1/4

first arrow: - (less than)

second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)

box 2: 1/4

third arrow: same as second arrow

last arrow: =

box 3: 104 ÷ 1/4 = 416

message if you dont understand

hope this helped

The inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

We have,

Nine less than the product of a number n and 1/4 is no more than 95.

Let the number be n.

Now,

No more than means,

We have less than, greater than, and equal to.

We can use less than and equal to.

The inequality can be written as,

1/4 x n - 9 ≤ 95

(1/4)n - 9 ≤ 95

Add 9 on both sides.

(1/4)n ≤ 95 + 9

(1/4)n ≤ 104

Multiply 4 on both sides.

n ≤ 416

Thus,

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

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36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?​

Answers

Answer:

200.4 at 0.25%

Step-by-step explanation:

Given data

P= P200

r= 0.25%

t= 1 year

n= 12

A= P(1+ r/n)^nt

substitute

A= 200(1+ 0.0025/12)^12*1

A= 200(1+ 0.00020833333)^12

A= 200(1.0002)^12

A= 200* 1.002

A= 200.4

Hence the amount is 200.4 at 0.25%

What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form

Answers

Answer:

Here ig

Step-by-step explanation:

An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?

Answers

Answer:

$24

Step-by-step explanation:

(1+5) x 4 = 24 dollars

You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.

Answers

Yes it’s larger then the medium pizza. I took the test

Which numbers make a true statement when placed in the box?
11.436 > 0
Select each correct answer.
11.422
11.484
11.621
11.286
o
Please help

Answers

The 11.422 one I hope I get u the right one sorry if not

Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Danny offers a better deal

Which measurements are for a rectangle with an area of 16 square units?


4 units wide, 2 units long


2 units wide, 6 units long


4 units wide, 3 units long


2 units wide, 8 units long

Answers

Answer:

2 Units wide , 6 units long

In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.

Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?

Answers

Answer:

A. Mean = 10.5, standard deviation = 2.61247

B. Mean = 4.5, stand deviation = 1.955761

Step-by-step explanation:

Number in a group = 30

So n= 30

A.

It follows the binomial distribution

n = 30, probability p = 0.35

The mean = n*p

= 30x0.35

= 10.5

The standard deviation = √np(1-p)

= √10.5(1-0.35)

= √10.5(0.65)

= √6.825

= 2.61247

B. Probability of a new skier carried = 0.15

n = 30

Mean = n*p

= 30x0.15

= 4.5

The standard deviation = √np(1-p)

= √4.5(1-0.15)

= √4.5(0.85)

= √3.825

= 1.955761

¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?​

Answers

Answer:

32 pedasos

Step-by-step explanation:

Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units

Answers

Answer:

Step-by-step explanation:

radius of unit circle = 1

θ = 218° × π/180° = 109π/90 radians

arc length = rθ = 109π/90 ≅ 3.80 units

Find the missing lengths or missing angles

Answers

Answer:

hj=6

because it's angle are equal and equilateral triangle have equal angles so, the length is 6

The missing lengths is hj = 6

Ples help i will give you the best

ITS 10 POINTS
Can u tell me how to slove

Answers

Answer:

1024.

Step-by-step explanation:

4^5=4x4x4x4x4=1024.

4x4x4x4x4

Explanation: it's just 4 five times

Check your solution!

5 • x = 12

Answers

Answer:

x = 2.4

Step-by-step explanation:

isolate x \/

x=12/5

12/5 = 2.4

Answer:

i dun know wut u mean by check ur solution but I'll anyways solve it

x=12/5

x=2.4

I hope it helps

Is ABC= DEF? If so, name the congruence postulate that applies.

Answers

Answer= congruent ASA

Step by step: in the question it tells you the two of the angles are the same and one of the sides are the same so it’s angle side angle(ASA)

Answer:

B)

Step-by-step explanation:

a p ec

What value of x would make AABC an isosceles triangle?
А
C с
2x + 4
3x - 8


Answers

Step-by-step explanation:

step 1. 2x + 4 = 3x - 8

step 2. x = 12.

Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.​

Answers

respondo por qué el juego me lo diste 2+24

Answer:

y = -2/3x + 6

Step-by-step explanation:

Equation in slope-intercept form:

y = mx + b

Substitute values:

y = -2/3x + 6

how is 3 x 3/6 the same as 9 x 1/6

Answers

Answer:

3/1 times 3/6 = 9/6

9/1 times 1/6 = 9/6

Step-by-step explanation:

What is the y intercept of the line 5x-2y=10

Answers

Answer:

Step-by-step explanation:

The y intercept occurs when x=0.

5(0)-2y=10

-2y=10

y=-5 or the point (0,-5)

4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5

Answers

Options c and d are correct.

What is inequality?

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

What is solution for inequality?

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

According to the given question

We have an inequality

3x - 5 > 4x - 3

⇒ 3x - 4x > -3 + 5

⇒ -x > 2

x < -2

Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.

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The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.

Answers

area= 1/2 b*h

242=1/2 4h*h=2h^2

h^2=121

h=11

b=4h=44

Solve this systems of equations.
Will mark brainlest!

{4y + 7x =6}

{4y + 7x = -5}

Answers

Answer:

No solution

Step-by-step explanation:

The coefficient of x and y in both the equations are the same

That represents that  both the lines are parallel

Hence no intersection is possible

this means that there is no solution possible

7x+4=6
7x+y4=-5 hkkb

Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45

Answers

Answer:

2, 5, 7, 11

Step-by-step explanation:

2,5,11,7............

equation.
1. h - 9= 2h - 1

Answers

H= -8. H-2h= 9-1; -h=8; h= -8
h-9=2h-1
Add 9 to both sides
h-9+9=2h-1+9
h=2h+8
Subtract 2h from both sides
h-2h=2h+8-2h
-h=8
Divide both sides by-1
-h/-1=8/-1
h=-8 is your answer

WILL MARK BRAINLYIST

Answers

What are the options?

What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.

Answers

Answer:

volume = (Pi)(r^2)(height)

57.5 cm^3 difference in volume

Step-by-step explanation:

Assuming that the 3.5 cm and the 4 cm are diameters of the cans:

The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.

The radius of the soda can is one-half of the diameter and that would be 2 cm.

The formula for the volume of a cylinder is Pi times the radius squared times the height.   (Pi)(r^2)(height)

Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3

Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3

The soda can has more volume so:

163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.

242m/min express this in km/h​

Answers

Answer:

14.52 km/h

Step-by-step explanation:

Please see the picture attached.

I hope this helps!

Jerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >

Answers

Answer:

I would say that the answer is 1000=273+m

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