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Lemur [1.5K]
3 years ago
14

The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
The answer
5
Explanation
The shape is a pentagon
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NEED HELP WITH THESE QUESTIONS
amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =

Applying double C we have:

\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =

Canceling common terms:

\frac {mn ^ 5} {p ^ 4}

Answer:

Option A

Question 2:

We should simplify the following expression:

\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}

So, we have:

\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =

Simplifying common terms:

\frac {1} {y ^ 2z ^ 2}

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em>r ^ 2 + 7r + 10: </em>We look for two numbers that multiplied give 10 and added 7:

(r + 5) (r + 2)

<em>r ^ 2-5r-50:</em> We look for two numbers that multiplied give -50 and added -5:

(r-10) (r + 5)

<em>3r-30 = 3 (r-10)</em>

Rewriting the given expression we have:

\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =

We simplify common terms in the numerator and denominator we have:

(r + 2)

Answer:

Option D

4 0
3 years ago
Read 2 more answers
In Zachs class 3/5 of the 25 students are boys. How many boys are in Zachs class?
LUCKY_DIMON [66]

Answer:

15

Step-by-step explanation:

(3/5)*25=15

4 0
3 years ago
6x - 170 = -4x + 110​
strojnjashka [21]

Answer:

=-110

Step-by-step explanation:

:)

7 0
3 years ago
11
yulyashka [42]
The answer is C because it like adding 11.40+00.40 and that would be 12:20
3 0
3 years ago
You begin the month with $5,550 of inventory. You purchase $13,000 of stock during the month. You end the month with $2,333 of i
Zanzabum

Answer:

The correct answer is $16217

Step-by-step explanation:

You do 5550 + 13000 and get that answer and subtract 2333

3 0
3 years ago
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