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3 years ago

Whatexpression would give you a sum of 16

Mathematics

2 answers:

vekshin13 years ago

5 0

8+8 = 16 , 3x6 = 18, 20-2 = 18 !! Hope that helped you :)

sammy [17]3 years ago

4 0

Answer:

8+8

Step-by-step explanation:

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Show that triangle MPT =Triangle MTP

exis [7]

Unusual notation. I won't fuss with it.

a. We have isosceles PRT, so angle RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d. We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

3 0

3 years ago

The area of a square is 64n^36 square units. what is the side length of one side of the square

sesenic [268]

Area = (side length)^2

Here,
64n^36 = s^2. Take the sqrt of both sides, obtaining 8n^18 = s. This is the principal square root. We use this positive quantity because the measure of side length must be positive.

8 0

3 years ago

Read 2 more answers

Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50

timofeeve [1]

Step-by-step explanation:

Plan A: A = 20G

Plan B: B = 15G + 40

To see when they will be equal set the equations equal to each other

20G = 15G + 40

5G = 40

G = 8

At 8 GB they will cost the same amount.

20(8) = $160

15(8)+40 = $160

Hope it will be Helpfull

thank you

8 0

2 years ago

Here is your questions

viva [34]

Answer:

Step-by-step explanation:

strategy: find the distance of the two points, take half of that, b/c that will be the radius, Then use the area of a circle formula to find the answer

P1 = (1,-1) in the form (x1,y1)

P2= ((3,3) in the form (x2,y2)

dist = sqrt [ (x2-x1)^2 + (y2-y1)^2 ]

dist = sqrt [ 3 -1 )^2 + 3-(-1)^2 ]

dist = sqrt [ 2^2 + 4^2 ]

dist = sqrt [ 4 + 16 ]

dist = sqrt [20]

r = $\sqrt{20}$ /2

area of circle = $\pi$ $r^{2}$

area of circle = $\pi$ ( $\sqrt{20}$ /2)^2

area of circle = $\pi$ ( $\sqrt{20}$ /2)( $\sqrt{20}$ /2)

area of circle = $\pi$ (20 / 4)

area of circle = $\pi$ 5

area of circle = 5 $\pi$

3 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

Whatexpression would give you a sum of 16 ​

Whatexpression would give you a sum of 16