Are corresponding sides and angles equal

How do you divide 2\3 divided by 7\8 using kcf answer

xz_007 [3.2K]

Answer: $\frac{16}{21}$

Step-by-Step Explanation:

KCFmeans: Keep, Change, Flip

Keep: the first fraction

Change: the sign from division to multiplication

Flip: the second fraction

$\frac{2}{3}$ ÷ $\frac{7}{8}$

= $\frac{2}{3} * \frac{8}{7}$ KCF is applied here!

= $\frac{2(8)}{3(7)}$

= $\frac{16}{21}$

7 0

3 years ago

In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow

Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0

3 years ago

What is the difference between a discrete function and a continuous function? Give examples of both.

tester [92]

Answer:

A discrete function is a function with distinct and separate values. A continuous function, on the other hand, is a function that can take on any number within a certain interval. Discrete functions have scatter plots as graphs and continuous functions have lines or curves as graphs.

Step-by-step explanation:

Hope I Helped! :D

4 0

3 years ago

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

Serhud [2]

Question:

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

A. The slope of HI is 1/2.

B. The slope of EF is 1/2.

C. The slope of GH is –2.

C. The slope of DF is –2.

Answer:

The slope of HI is 1/2

The slope of EF is 1/2

Solution:

Given that,

Triangle DEF is congruent to right triangle GHI

Which means,

These pairs of angles are congruent

{D, G}, {E, H}, and {F, I}

In triangle DEF, E is a right angle

This means that the line segments $\overline{DE}\ and\ \overline{EF}$ are perpendicular.

We know that,

Product of slope of a line and slope of line perpendicular to that line is equal to -1

Given that,

Slope of DE = -2

$\text{ Slope of DE } \times \text{ slope of EF} = -1\\\\-2 \times \text{ slope of EF} = -1\\\\\text{ slope of EF} = \frac{1}{2}$

Since the sides EF and HI are congruent,

Slopes of parallel lines are equal

$Slope\ of\ HI\ = \frac{1}{2}$

Thus, Slope of HI is 1/2

3 0

3 years ago

Read 2 more answers

Simplify this expression. I need u again pls

CaHeK987 [17]

Answer:

The answer is the Second Option

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers