3. Find the measure of the sides of the triangle if the vertices of AEFG are E
(1,4), F(5, 4), and G(1,0). Then classify the triangle by its sides.

Answers

Answer 1

The triangle EFG is an isosceles triangle as side EF is congruent to side EG.

How to determine a triangle according to its sides

In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:

Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.

Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:

l = √[(Δx)² + (Δy)²]

First, write the locations of the vertices:

E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)

Second, determine the length of every side of the triangle:

EF = √[(5 - 1)² + (4 - 4)²]

EF = 4

FG = √[(1 - 5)² + (0 - 4)²]

FG = √[4² + (- 4)²]

FG = 4√2

EG = √[(1 - 1)² + (0 - 4)²]

EG = 4

By direct comparison, we conclude that the triangle EFG is an isosceles triangle.

To learn more on isosceles triangles: https://brainly.com/question/10147636

#SPJ1


Related Questions

Put the numbers in order from smallest to largest.

1. fifth
4.9
2. third
5.0
3. sixth
3.6
4. first
3.1
5. fourth
4.2
6. second
4.5

Answers

In order of problems/numbers - 4, 3, 5, 6, 1, 2

Answer:

First - 3.1

Second - 3.6

Third - 4.2

Fourth - 4.5

Fifth - 4.9

Sixth - 5.0

Step-by-step explanation:

Hope it helped!

please help
Basic Radicals ​

Answers

Answer:

B

Step-by-step explanation:

[tex]( \sqrt{c})^{2}= \sqrt{c}* \sqrt{c}= \sqrt{c*c}= c\\[/tex]

help please it is attached thank you

Answers

6

Dividing the change in the output value (22-10) by the input value (4-2) is equal to the rate of change 22-10/4-2=12/2=6/1

If someone catches me up on edge for math I will pay 100 dollars anyway you want it. Please someone help me! If interested email me at kanemagdalene at g mail.com

Answers

Answer:

I think it will be 50$ in total

pls help me with this multiple choice !

Answers

Answer:

First option is the correct answer

[tex]m= 14 \sqrt 2, \: n = 14[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Given is a 45°-45°-90° triangle.

Measure of sides n and 14 are opposite to 45° degree angles.

Therefore, they are equal.

So, n = 14

[tex] 14 = \frac{1}{\sqrt 2}\times m[/tex]

[tex] 14 \sqrt 2=m[/tex]

Find the domain and range of the function below

Answers

x is greater than or equal to 0
y is greater than or equal to 0

Find the y-intercept of the line, Find the slope of the line and, Find the equation of the line.

Answers

Y-intercept: 4
Slope: 2/3
Equation: y=2/3x+4

Slope-Intercept Form: y=mx+b

Slope: m

HOW TO FIND m:

Rise/Run

4/6 (it can be simplified)

We get two thirds (2/3)

y-intercept: (b)

4

Equation: y=2/3x+4

I really hope it helps:)

- An Acellus Student

Plus a scientific fact:

We have 100 billion neurons in our brain:)

sin0=? cos0=? tan1=?​

Answers

Answer:

See explanations below

Step-by-step explanation:

Sin 0 = x

0 = arcsinx

Since 0 the angle is positive and lies in the 1st and second quadrant, sin 0 = 0 (in the first quadrant)

cos 0 = 1 (by punching the calculator)

tan 1 = 0.0174

All this values can easily be gotten directly from calculators

Basil has five numbered cards.

Two of the numbers are hidden. 4 9 9 ? ? 8

The mode of the five numbers is 8.

The mean of the five numbers is 6

c) Work out the two hidden numbers.

Answers

Answer:

The two hidden numbers are 8 and 1.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all its values divided by the number of values.

Mode of a data-set:

The mode of a data-set is the value that appears the most.

In this question:

4, 9, x, y, 8

Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:

4, 9, 8, y, 8

The mean of the five numbers is 6

This means that:

[tex]\frac{4+9+8+y+8}{5} = 6[/tex]

[tex]29+y = 30[/tex]

[tex]y = 30 - 29[/tex]

[tex]y = 1[/tex]

The two hidden numbers are 8 and 1.

simplify -2.2f + 0.8f - 15 - 3 please help

Answers

It would be -1.4f-18. I hope this helps!!

Answer:

Simplify the expression.

− 1.4 f − 18

Step-by-step explanation:

Suppose a rabbit population of 10 rabbits triples every month. Write and solve a function for how many rabbits will exist after 3 months.

Answers

Answer:

40

Step-by-step explanation:

10 rabbits

+ 3 months = 30 rabbits

40 rabbits

The point P(3,4) is dilated by a scale factor of 5 and the center of dilation is the origin. What are the coordinates of P'?
P (____,___)

Answers

Answer:

P' (15, 20)

Step-by-step explanation:

P' ( 3×5, 4×5) = P' (15, 20)

A hollow cylinder has solid hemisphere in one end and on the other end it is closed with a flat circular plate. The height of water is 10cm when flat circular surface is downward. Find the level of the water, when it inverted upside down, common diameter is 7cm and height of the cylinder is 20 CM.​

Answers

Answer:

this will be the correct answer

Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791

Answers

Answer: .209

Step-by-step explanation:

took the test

20=5y
Solve for Y

What would y be
No need to show to much work!!!!
Y’all are life savers

Answers

Answer:

y = 4

Step-by-step explanation:

20 = 5y

then divide both side by 5

20 ÷ 5 = 4

so y is 4

Find the proper answer

Answers

I think the answer is C

14=s/3 what does s equal​

Answers

you have to do the inverse of divide so multiply to find out a

14x 3= 42

S= 42
Answer:   s = 42

===============================================

Explanation:

To isolate s, we need to undo the division. We'll multiply both sides by 3

14 = s/3

3*14 = 3*(s/3)

42 = s

s = 42

-------

As a check,

14 = s/3

14 = 42/3 .... replace s with 42

14 = 14

We get the same thing on both sides, so this confirms we have the correct value of s.

Jason has 1/3 of a liter of milk. Jason divides the milk equally into 4 mugs of tea.

How much milk will Jason have in each mug?

Answers

Answer:

1/12 l

Step-by-step explanation:

Amount of milk = 1/ 3 l

No: of mugs = 4

Amount in each mug =  1/3 ÷ 4 = 1/3 x 1/4 = 1/12 l  

(Hope its right!)

Answer:

They will have 1/12 of a liter of milk on each mug because you are dividing 1/3 into 4 so the denominator is multiplied by 4

Redondear 492 a la decena más cercana

Answers

Answer: 500. porque 492

si es un numero mas que 5 lo pones mas

EJ. 450---> 460.

6 -12=-6 - 12 = please help me

Answers

Answer:

-18

Step-by-step explanation:

6-12=-6-12=-18

Y = 4X+3 and y= 2X+7 solve by using substitution

Answers

Answer:

x=2  y=11

Step-by-step explanation:

math

Skdhauajbsshjzmxjakxjxdj I’m confused

Answers

30% is the answer goodfdbyeeeee

Answer:

60% i think

Step-by-step explanation:

The sum of two numbers is 60, one of them is double the other. Find these numbers​

Answers

Answer:

that would be 40 and 20 !

Step-by-step explanation:

40 + 20 = 60

and 40 = 20 + 20.

Answer:

the answer is 40+20

20+20

Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x

Answers

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

f(0) = 0

y-intercept: 0

In Coach Bryant’s math class, he had his students create a net of a cube. An example of the net is below.



Net of a cube. The measurements for each side 2.5 in.



What is the total surface area of the cube?



37.5 in2


6.25 in2


31.25 in2


60 in2

Answers

Answer:7.5 in2

Step-by-step explanation:A=6a2=6·2.52=37.5in²

Pleaseee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

Find the variables first, you will have to find the segments by measuring between the whole degree which is, 180 degree.

Step-by-step explanation:

Multiply each side and divide the variable and you will find the answer for each side. Then, add all of them.

a paper balloon costs php7.50 what is the cost if i buy 6balloons?​

Answers

Answer:

45

Step-by-step explanation:

Describe each polynomial expression by type and components based on the example shown.

3x2 + 2x
2x2 − 5x + 3
6x
Example: -4x2 + 9

This polynomial expression is a quadratic binomial, with a coefficient of -4 on the quadratic term, a constant term of 9, and no linear terms.

Answers

Answer:

1) [tex]3\cdot x^{2}+2\cdot x[/tex] - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) [tex]2\cdot x^{2}-5\cdot x + 3[/tex] - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) [tex]6\cdot x[/tex] - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Step-by-step explanation:

1) [tex]3\cdot x^{2}+2\cdot x[/tex] - The polynomial expression is a second-grade binomial, with a coefficient of 3 on the second-grade monomial component and a coefficient of 2 on the first-grade monomial component.

2) [tex]2\cdot x^{2}-5\cdot x + 3[/tex] - The polynomial expression is a third-grade trinomial, with a coefficient of 2 on the second-grade monomial component, a coefficient of -5 on the first-grade monomial component and a coeffcient of 3 on the zero-grade monomial component.

3) [tex]6\cdot x[/tex] - The polynomial expression is a first-grade monomial, with a coefficient  of 6 on the first grade monomial component.

Answer:

3x2 + 2x

This polynomial expression is a quadratic binomial, with a coefficient of 3 on the quadratic term, a linear term with coefficient 2, and no constant.

2x2 − 5x + 3

This polynomial expression is a quadratic trinomial, with a coefficient of 2 on the quadratic term, a linear term with coefficient -5, and constant 3.

6x

This polynomial expression is a linear monomial with a coefficient of 6 on the linear term and no constant.

Step-by-step explanation:

plato answer

work out the size angle DEF

Answers

Answer:

Step-by-step explanation:

Here, we want to get the value of angle DEF

we have this as ;

Angle DEF = 1/2 * DOF

1/2 * 150 = 75

This is because angle at the center is twice the angle at the circumference

if i had 34567898754123179000364299964 cakes and i ate with my friends 276543234589986499 then how many do i have left?

Answers

Answer:

u have diabetes dawg

Step-by-step explanation:

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