Mathematics High School

If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side

If Triangle DEF Is An Isosceles Triangle With DE Is Congruent To EF, Find X And The Measure Of Each Side

Answers

Answer 1

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

Related Questions

What is the result of the arithmetic operation?
3**4 =

Answers

Answer:

81

Step-by-step explanation:

i did le math, and its right on ed2020

x2-6x+3 can be written in the form of (x+m)2 +n find the value of m and n

Answers

Answer:

2(x-3x) + 3

value of X and M is x and -3x respectively

Step-by-step explanation:

you can factor out the 2 from the 2x -6x and gets the 2(x-3x) while n is the constant that remains the value of 3

I hope this helps

Answer:

m = - 3, n = - 6

Step-by-step explanation:

Expand and compare coefficients of like terms, that is

(x + m)² + n

= x² + 2mx + m² + n

Compare to x² - 6x + 3

comparing coefficients of x- term

2m = - 6 ( divide both sides by 2 )

m = - 3

Comparing constant terms

m² + n = 3 , that is

(- 3)² + n = 3

9 + n = 3 ( subtract 9 from both sides )

n = - 6

Sovle -5x + 8 < - 2x + 23

Answers

Answer:

_3x>+31 but I am not sure

Step-by-step explanation:

-5x<-2x+8+23

-3x>+31

Answer:

x > -5

Step-by-step explanation:

1.) Add +5x on both sides

-5x + 8 < - 2x + 23

+5x         +5x      

8    <    3x + 23

2.) Subtract 23 from both sides

8    <    3x + 23

-23            -23

-15  <  3x

3.) Divide by 3 on both sides

-15 <  3x

 3        3

-5 < x

Because you divided by a negative, the sign flips

-5 > x

Need help please help.

What are the answers for this and please explain thank you.

Answers

slope is 3/4
the equations is y=3/4x+5
don’t know the vertical intercept
no
no

Replace the ? with a number that balances the equation. -3.4 = -2 + ? ​

Answers

Answer:

?=-1.4

Step-by-step explanation:

The number that fits the ? is -1.4. Hope it helps!

Answer:

-1.4

Step-by-step explanation:

Please help me !!!! ASAP

Answers

Answer:

the slope is 3/2

Step-by-step explanation:

(x1,y1)= (2,7)

(x2,y2)= (4,10)

slope=

[tex] \frac{y2 - y1}{x2 - x1} = \frac{10 - 7}{4 - 2} = \frac{3}{2} [/tex]

does anyone know this?

Answers

1.37x10^9 is the correct answer:)

Answer:

1.37×10^9 is in scientific notation

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(

Answers

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

-9 more than a number results in -20

Answers

Answer:

-11

Step-by-step explanation:

-20-(-9)= -11

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (5,3). Find the slope of the linear function. Write the slope in fraction form.​

Answers

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

Find the unknown length given that the triangles are similar.

Answers

Answer:

20 is the answer.

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

x = 20

Hope this helped,

Kavitha Banarjee

who good with graphs

Answers

Not me I suck at them

what is 358.21 rounded to the nearest hundreth?

Answers

Answer:

358.2

Step-by-step explanation:

thats the answer because .21=.2

I’ll post part one but plz help it’s worth 15POINTS I’ll mark as Well!!!!

Answers

Answer:

Wellll

Step-by-step explanation:

What is the answer I need it quick 3/4 + 3/7 A 1 5/28. B 1 7/28 C 6/28 D 6/11

Answers

Answer:

33/28

Step-by-step explanation:

(3/4) + (3/7) = 33/28

~1,18

Please please please help me I’m stupid Please thank you I would really appreciate it

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I need help, please, I'm not that good at math

Answers

Answer:

Please help me

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

Which quadrilaterals must have at least one pair of congruent sides? Check all that apply.
square
rectangle
parallelogram
rhombus
trapezoid
kite

Answers

Answer:

All of the following except a trapezoid

Step-by-step explanation:

I checked it

A square, rectangle, parallelogram, rhombus and kite have at least one pair of congruent sides.

Quadrilateral

A quadrilateral is a polygon that has four sides and four angles. A square, rhombus is a quadrilateral in which all sides are congruent.  A rectangle, parallelogram is a quadrilateral with opposite congruent sides.

A kite is a quadrilateral that has adjacent congruent sides.

A square, rectangle, parallelogram, rhombus and kite have at least one pair of congruent sides.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

The football team has a total of jerseys 20 There are 14 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

I think it's 70%.

87% of 70 do not round

Answers

Answer:

60.9

Step-by-step explanation:

PLEASE HELP ME! I NEED YOU TO HELP ME! WHOEVER ANSWERS CORRECTLYWILL GET A BRAINLEST AND POINTS!!!

On a chapter test, Stephanie uses the rules of equation solving and inverse operations to solve the cubic equation below. The directions on the test are not very specific, however, they do say to give an exact solution. Stephanie is not sure if she should submit a decimal approximation or a simplified radical as the answer.

4x3 = 756

What recommendation can you make to Stephanie regarding her answer to the cubic equation above? In your recommendation, explain what the term "exact" indicates with regards to the solution.
Solve the cubic equation from Stephanie’s test. Submit two solutions for the equation- a) your answer as a decimal approximation, rounded to the nearest hundredth, and b) as a simplified radical. Use substitution to check each version of your solution in the original equation.
After solving the test question and checking both the decimal solution and the simplified radical form, would you change your recommendation (in Part 1) to Stephanie regarding the format of her answer? Use complete sentences to explain your reasoning.

Answers

Answer:

Since, we are asked to present an exact solution, we are not able to give approximations.

The term exact means that you need to give the answer like this:

If we were asked to give an approximate result it would be like this x = 5,738.

f=4x%5E%7B3%7D%20%3D%20756%5C%5Cx%5E%7B3%7D%20%3D%20%5Cfrac%7B756%7D%7B4%7D%20%5C%5Cx%5E%7B3%7D%20%3D%20189%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B189%7DHence, our answer is

Step-by-step explanation:

freeeeeeeeeeeeeeeeeeeeeeer pointk​

Answers

welp thank you for this

2 = 2(m − 8) − 2
m =

Answers

Use distributive property
2 = 2m - 16 - 2
Simplify
2 = 2m - 18
Add 18
20 = 2m
m = 10
2 = 2m - 16 - 2
-16 - 2 = -18
2 = 2m - 18
2 = 20 - 18
m = 10

3 divided by 2/5

100 points!!!!!!!!!!!!!! :P

Answers

Answer: its 7.5

Step-by-step explanation:you have a blessed thanksgiveing!

Answer:

7.5

Step-by-step explanation:

thank you!!!!

A 1-litermbottle of orange juice used to cost $2.85 at a food market. its price has increased; the new price is 110 percent of the original price. What is the new price? Round your answer to the nearest cent

Answers

the new price is $3.14

For Anthony’s birthday, his mother is making cupcakes for his 12 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony’s mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake

Answers

Answer:

No, there is no enough flour for each of his friends to get a cupcake

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ This recipe makes 2[tex]\frac{1}{2}[/tex] dozen cupcakes

∵ Each dozen contain 12 cupcakes

∴ The number of cupcakes can the recipe make = 2[tex]\frac{1}{2}[/tex]  × 12

∴ The number of cupcakes can the recipe make = 30 cupcakes

∵ The recipe calls for 3[tex]\frac{1}{3}[/tex] cups of flour

→ That means 3[tex]\frac{1}{3}[/tex] cups of flour can make 30 cupcakes

∴ 3[tex]\frac{1}{3}[/tex] cups of flour makes 30 cupcakes

∵ Anthony’s mother has only 1 cup of flour

→ By using the ratio method

→  flour  :  cupcake

→  3[tex]\frac{1}{3}[/tex]      :  30

→   1       :   x

→ By using cross multiplication

∵ 3[tex]\frac{1}{3}[/tex] × x = 1 × 30

∴ 3[tex]\frac{1}{3}[/tex] x = 30

→ Divide both sides by 3[tex]\frac{1}{3}[/tex]

∴ x = 9

∵ x represents the number of cupcakes  

∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour

∵ Anthony has 12 friends at his daycare

∵ The number of the cupcakes = 9

∴ The number of cupcakes is not enough for each of his friends to

   get a cupcake

-5 2/3 + 3 1/4 + -7 1/3

Answers

-9.5

I think I might be wrong

Find the equation of the line that passes through points a and b.
Please help, will award brainliest.

Answers

Find slope (y2-y1)/(x2-x1)
(-1-7)/(-3-1) = -8/-4 = 2
Y = 2x + b
Plot in point
7 = 2(1) + b, b = 5
Equation: y = 2x + 5

PLEASE HELPP. BRAINLIEST
As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation.

Answers

Answer:

12,670,000,000-I think if its moving right one

Step-by-step explanation:

x + 4 < 6
Drag your dot to a possible solution for the inequality.

Answers

Answer:

An open circle at 2, and an arrow facing left.

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