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DaniilM [7]
3 years ago
5

I need help answering this question

Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

x = 32

Step-by-step explanation:

seeing that this angle is 180 degrees when they are all added together, 180 - 20 = 160. there are 5 x's in the picture, so 160 ÷ 5 = 32. x = 32

4x = 138

hope this helps :)

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Find three consecutive even integers such that the sum of the squares of the first two is four less than twice the square of the
velikii [3]

Answer:

the three consecutive even integers are -2, 0, 2

Step-by-step explanation:

Let the first even integer = n

Let the second even integer = n + 2

Let the third even integer = n + 4

From the given statement, we form the equation below

(n²) + (n + 2)²  + 4 = 2(n + 4)²

Expand this equation;

n² + (n + 2)(n + 2) +  4 = 2(n + 4)(n + 4)

n² + n² + 2n + 2n +  4 +  4 = 2(n² + 4n + 4n + 16)

2n² + 4n + 8 = 2(n² + 8n + 16)

2n² + 4n  + 8 = 2n² + 16n + 32

collect like terms together;

2n² - 2n² + 4n - 16n = 32 - 8

- 12n = 24

-n = 24/12

-n = 2

n = -2

Second integer = n + 2

                          = -2 + 2 = 0

Third integer = n + 4

                      = -2 + 4

                      = 2

Therefore, the three consecutive even integers are -2, 0, 2

6 0
3 years ago
2(12x + 16y) + 5(3y +4z) + 7(6x – 3y - 2z)
Phantasy [73]

Answer:

52x + 26y + 20z

Step-by-step explanation:

Assuming you needed the answer to be simplified!

7 0
3 years ago
Alguem pra me ajudar na minha prova de matematica daqui 10 min? 8 ano
o-na [289]
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3 years ago
Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend le
Umnica [9.8K]

Answer: x+y\geq12

2.75x+3.50y\leq35

Step-by-step explanation:

Let x represents the number of red roses and y represents the number of white roses.

Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.

i.e. the required inequality for this statement will be :-

No. of red roses +No. of white roses ≥ 12

i.e. x+y\geq12

Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.

i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35

i.e. 2.75x+3.50y\leq35

Now, From (1) and (2) the system of inequalities represents the situation :

x+y\geq12

2.75x+3.50y\leq35

8 0
3 years ago
Read 2 more answers
Please help with this question!!
mars1129 [50]

Answer:

second one

Step-by-step explanation:


7 0
3 years ago
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