1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nana76 [90]
3 years ago
8

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

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

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

You might be interested in
Show how you can scaffold a grade 2 class to understand the following mathematics topic it’s concepts and application. 1.1.1 nam
stich3 [128]

The best way to scaffold a grade 2 class to understand the topics such as   unitary fractions, fractions in diagrammatic form, write fractions as 1 half is by first explaining the definition then real life application including physical representation.

What is fraction?

A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A common, vulgar, or simple fraction is one with a non-zero denominator that is displayed below (or after) the line on which the numerator is displayed. Examples of these fractions include 1/2 and 14/3. The uncommon fractions that use numerators and denominators are difficult fractions, compound fractions, and mixed numeral fractions.

Definition or explanation of the topics given in the question:

<u>Unitary fractions</u><u> or </u><u>Unit fractions</u>:  A fraction with the number one in the numerator is known as a unit fraction in mathematics. Of all the equally sized portions of the whole, it symbolizes one shaded part. "Unit" refers to one.

For instance, 1/4 is the numerical representation of a pizza that has been divided into 4 equal portions, each of which is being consumed by one individual similarly if it got divided between 2 people it is represented as 1/2.

<u>Recognize</u><u> fractions</u><u> in diagrammatic form</u>: This could be done by showing the diagrams which contain boxes of two different colors which represents the numerator and denominator.

<u>Write </u><u>fractions </u><u>as 1 half</u>: The 1 half fractions are the fractions in which the denominator is twice the the numerator. That is any fraction in the form n\2n where, n = 1, 2, 3, 4.... is the 1 half fraction.

To know more about fraction, go to link

brainly.com/question/78672

#SPJ9

3 0
1 year ago
The heights of a group of boys and girls at a local middle school are shown on the dot plots below. 2 dot plots with number line
andrew-mc [135]

Answer:sushi love sushi sushi is life and life is sushi

Step-by-step explanation:

6 0
3 years ago
How do I solve this problem correctly?
Anna71 [15]

Answer:

7%

11%

5%

14%

Step-by-step explanation:

To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.

Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.

Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.

Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.

Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.

Hope this helps! :)

5 0
2 years ago
What conclusion can be made based on this division problem 20 ÷ 10 = 2
ipn [44]
3. Twenty is two times the size of ten.

That's basically what the division problem says, is it not?
5 0
3 years ago
Read 2 more answers
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
AURORKA [14]

Answer:

<h2><u>26°</u></h2>

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = <u>26°</u>

5 0
3 years ago
Other questions:
  • PLEASE HELP Need the answer fast
    13·1 answer
  • Can a variable be a constant
    11·2 answers
  • PLSS HELP ASAP!!! <br><br> Given: 2x−1=6x−17<br> Prove: x=4
    5·1 answer
  • Write an exponential function in the form y=ab^xy=ab
    7·1 answer
  • Select the correct answer.
    5·1 answer
  • X3−3=x9+3 what the answer
    7·1 answer
  • Tell me if this is right
    7·1 answer
  • The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes
    11·2 answers
  • WILL GIVE BRAINLIEST ASAP!!
    10·1 answer
  • I need help please 36 points
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!