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BigorU [14]
2 years ago
7

FIND THE MEASUREMENT OF THE MISSING ANGLES ON THE GIVEN FIGURE BELOW AND STATE YOUR REASON

Mathematics
1 answer:
marusya05 [52]2 years ago
3 0

Answer:

Step-by-step explanation:

1) ∠1 +  ∠2 = 180    {linear pair}

    105 +∠2 = 180

            ∠2 = 180 - 105

            ∠2 = 75°

Reason: Linear pair

2) ∠3 = ∠1          {Vertically opposite angles are congruent}

   ∠3 = 105

Reason: Vertically opposite angles are congruent

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A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
julsineya [31]

Answer:

A: 6,804

Step-by-step explanation:

189 x 36 = 6804

8 0
3 years ago
What ratio is less than 15:24.these are the answer choices  > 1:2, 7:8, 19:24, 6:8
Drupady [299]
15:24 is divisible by 3, simplifying it down to 3:8. 19:24, 7:8, and 6:8 are all obviously larger than this ratio, and 1:2 can be equalized to 4:8, which is also bigger than 3:8, so none of the answer choices are less than 15:24.
5 0
3 years ago
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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
2 years ago
Bro helpppppfrpeagera
Oksana_A [137]

Answer:

bro whatisthequestion

4 0
2 years ago
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Pls need help 100 points and crown if right!!!
nekit [7.7K]

Answer:

\sf  2\dfrac{1}{4}\ cups \ of \ sugar

Explanation:

Let the full batch be x

Here given:

3/4 cup of sugar required to make 1/3 batch of cookies

Build equation:

\sf \rightarrow \dfrac{1}{3}x  = \dfrac{3}{4} \ cup \ of \ sugar

Solve:

\sf \rightarrow x  = \dfrac{3(3)}{1(4)}

\sf \rightarrow x  = \dfrac{9}{4}

\rightarrow \sf  x = 2\dfrac{1}{4}

5 0
1 year ago
Read 2 more answers
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