what is the name of the relationship between
∠1 and ∠5 ?

corresponding angles

adjacent angles

alternate interior angles

alternate exterior angles

Solved

Show answers

Ответ:

aliami0306oyaj0n

28.05.2023

Mathematics

leftover cards:

$2\dfrac{1}{2}, 3\dfrac{1}{4}$

Step-by-step explanation:

There are total 6 cardsthe numbers on the cards follow a pattern4 cards were taken out, and they are:

$\dfrac{1}{2}, 6\dfrac{1}{2}, 1\dfrac{1}{4}, \dfrac{1}{4}$

we can covert these directly into decimal forms (remember $\frac{1}{4}$ = 0.25 and $\frac{1}{2}$ = 0.5)

0.5, 6.5, 1.25, 0.25

we can now easily arrange them from least to greatest

0.25, 0.5, 1.25, 6.5

a pattern is still not coming out, but we needed to arrange them in order to understand the pattern

we can convert these into just fractions

$\dfrac{1}{4}, \dfrac{1}{2}, \dfrac{5}{4}, \dfrac{13}{2}$

And a pattern is indeed emerging here:

the denominators change alternatively between 2 and 4, and the numerator stays the same during this change. (see the first two fractions in the series)

originally all the six cards when aligned in ascending order should look like

$\dfrac{1}{4}, \dfrac{1}{2}, \dfrac{5}{4}, \dfrac{5}{2}, \dfrac{13}{4}, \dfrac{13}{2}$

Now you clearly see which ones are the missing ones: 5/2 and 13/4

we rewrite them as mixed fractions (as they originally printed on the cards)

$\dfrac{5}{2} = 2\dfrac{1}{2}$

$\dfrac{13}{4} = 3\dfrac{1}{4}$

These were the leftover cards from the bag!

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

what is the name of the relationship between ∠1 and ∠5 ? corresponding angles adjacent angles alternate interior angles alternate exterior angles