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prohojiy [21]
3 years ago
13

Help!!! Need Anwser!!!​

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Hello.

The answer is choice A. angle 1 = 118, angle 2 = 118

Explanation:

The four angles above are congruent (meaning the same) to the ones beneath.

Angles 1 and 2 are also congruent, so they will measure the same.

Lets label the angles above A, B, C, D.    B being the known angle, which is 118°. The angles beneath can be labelled E, F, G, H.

∠B ≅ ∠D

∠ABCD ≅ ∠EFGH

∠BD ≅ ∠FH

FH (or 1 and 2) equal 118.

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Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression
Vlad1618 [11]

Answer:

Step-by-step explanation:

Given the expression (x+11)(2x+3)

We want to expand it and write equivalent expression

Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other

E.g, (a+b) × (c + d)

Then, we take a × (c+d) and also b × (c+d)

We can do it the other way round too and it will give the same results.

So, applying this to the given expression

(x+11)(2x+3)

x(2x+3) + 11(2x+3)

2x² + 3x + 22x + 33

2x² + 25x + 33

Then, the equivalent expression is 2x² + 25x + 33

(x + 11)(2x + 3) = 2x² + 25x + 33

5 0
3 years ago
In the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this
Eddi Din [679]

Answer:

181 penguins on the last day of June.

250th penguin on 7 September.

Step-by-step explanation:

We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.  

First of all we need to find number of days in January to June.    

January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

\text{Days from January to June}=31+28+31+30+31+30

\text{Days from January to June}=181

Since penguin family receives 1 penguin each day, so 181 penguins will be in 181 days.

Therefore, the penguin family will have 181 penguins on the last day of June.

Now, we need to find the day, which will be on 250th day.

We already know that 181st day would be 30th June.

We know that July and August each has 31 days, so we will add 62 days to 181 that is 181+62=243.

243rd day would be 31st August.

Now, we will add 7 days to 243 days to get 250th day.

Since next month to August is September, therefore, the family will receive 250th penguin on 7 September.

6 0
3 years ago
How does making a list help you find common factors
Flura [38]
Is the greatest factor that two or more numbers have in common. One way to find the GCF is to make lists of the factors for two numbers and then choose the greatest factor that the two factors have in common.
6 0
3 years ago
Read 2 more answers
If a18-a12=24.Find d.<br>with steps.....​
kolbaska11 [484]

Answer:

let common difference be d.

a 18=a+17 d

a 14=a+13 d

a+17d - (a+13d) =32

a+17d - a - 13d =32

17d - 13d = 32

4d = 32

d=32/4

d=8

common difference=8

Step-by-step explanation:

(Brainliest if im correct?)

5 0
2 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18
kogti [31]

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

  • Side #1 = 18
  • Side #2 = 2x - 3
  • Side #3 = x

<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>

<u />2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7

<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>

<u />18+x>2x-3\\18+3>2x-x\\x<u />

<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>

<u />18+2x-3>x\\15>x-2x\\15>-x\\x>-15<em />

<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>

3 0
3 years ago
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