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2 years ago

For each set of three measures determine if they can be angle measures of a triangle

Mathematics

1 answer:

Orlov [11]2 years ago

8 0

Only the second set of measures qualifies as angle measures of a triangle. Angles 25°, 130°, 25°

Step-by-step explanation:

Step 1: To find whether angles qualify as angle measures of a triangles, calculate their total sum and verify whether they add up to 180°

Set 1 - 41° + 112° + 52° = 205°

Set 2 - 25° + 130° + 25° = 180°

Set 3 - 30° + 40° + 90° = 160°

Set 4 - 132° + 141° + 31° = 304°

Therefore, only set 2 qualifies.

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Help me solve this Algebra problem please

sp2606 [1]

Answer:

39858075

Step-by-step explanation:

Hello,

One basic way to see it is to compute the values.

75 = 25 * 3

225 = 75 * 3

675 = 225 * 3

etc ...

We can notice that this is multiplied by 3 every 10 years so we can compute as below.

year population

1970 25

1980 75

1990 225

2000 675

2010 2025

2020 6075

2030 18225

2040 54675

2050 164025

2060 492075

2070 1476225

2080 4428675

2090 13286025

2100 39858075

So the correct answer is 39858075

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

2 years ago

A basketball player attempts 18 baskets in a game. He makes 8 of the attempted baskets. Which ratio describes the number of bask

EleoNora [17]

Answer:

4:9

Step-by-step explanation:

8:18 in simplest form is 4:9

7 0

1 year ago

The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0

2 years ago

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

2 years ago

Evaluate. 4-6 | 3-5 | /3

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

4-6 is -2 and |3-5| is -2 but the |-2| makes it 2 so -2+2=0 so 0/3=0

8 0

2 years ago