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gogolik [260]
3 years ago
11

Under which angle conditions could a triangle exist? Check all that apply.

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

  1. 3 acute angles
  2. 2 acute angles, 1 right angle
  3. 2 acute angles, 1 obtuse angle

Step-by-step explanation:

We have to check under which condition a triangle will exist.

  • According to angle sum property of the triangle, the sum of all the three angles of a triangle is 180 degrees.
  • An acute angle is an angle with a a measure less than 90 degrees
  • A right angle is an angle with a measure of 90 degrees.
  • An obtuse angle is an angle with a measure of greater than 90 degrees.

1. It is possible to have triangle with three acute angle

Example: A triangle with all the three angles of 60 degrees

2. It is possible to have a triangle with 2 acute angles and 1 right angle.

Example: A triangle with all the two angles of 45 degrees and one right angle.

3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle.

4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle.

5.  It is possible to have a triangle with 2 acute angles and 1 obtuse angle.

Example: A triangle with all the  angles of 45 degrees, 40 degrees and 95 degrees

Komok [63]3 years ago
6 0
<span>Triangles exist:
</span>3 acute angles<span> 2 acute angles, 1 right angle
</span><span>2 acute angles, 1 obtuse angle
</span>
Triangles DON'T exist for:
<span>1 acute angle, 1 right angle, 1 obtuse angle
</span><span>1 acute angle, 2 obtuse angles</span>


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Answer:

  • Equation: (650 + 20) < (450 + 25)
  • Sentence to answer with: Cardinal Gold Club is the better golf couse because it is cheaper when we compare to total of both prices altogether.

Step-by-step explanation:

The reason why this club is better is because in Red Crest the fee is 650 and the charges per round is 20 so we add 650 + 20 to get the total of 670. Now we have to find the total of the Cardinal Golf Club and to do that we have to add their fee of 450 + the charges for each round which is 25 and 450 + 25 equals to 475. Lastly we have to compare to find the less/cheaper one ehich is Cardinal.

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Step-by-step explanation:

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=4x-4 +2x^2 -3x

= 2x^2 + x -4

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= 2x^2 -2 -4x -1

= 2x^2 - 4x -3

Q3. h(x)=3x−3 and g(x)=x^2+3

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Q4.f(x)=x+4 and g(x)=x+6

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7 0
3 years ago
I need to finish this, can someone please help!
taurus [48]

Answer:

13

Step-by-step explanation:

a parallelogram has sides that are parallel to the opposite side. This means that y + 7 is going to be parallel to 20.

Two opposing sides of a parallelogram are parallel and equal

You know that the length of both of the sides is equivalent because the other set of opposing lines is also parallel (you can think of it as cutting off the line segment of y+7 and 20 at the same length. )

this means that we can set up the equation to find y as:

y + 7 = 20

then, you can proceed to find y by isolating it:

y + 7 = 20 ; so therefore

y + 7    =    20

   - 7           -7

y           =     13

y = 13

So, the value of y is 13

4 0
2 years ago
Steve got his car fixed for $557. After taxes it cost him $594. What was the tax rate to the nearest %?
I am Lyosha [343]
You're nearly there. Just some more steps.
557 * x = 594 tells us 
x = 594 / 557 (divide both sides by 557)
x ≈ 1.066427

When we've found this number we must realise the following:
the '1' in this answer is the 100% the car fixing costs (without taxes)
the '0.66427' stands for the tax rate.

To find the tax rate we multiply 0.66427 by 100, which gives us:
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So, rounded to the nearest %, the tax rate is 7%
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Stells [14]

Answer:

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Step-by-step explanation:

Given that:

Number of trucks: 28

Paper cases each truck can load = 3

Total cases of white paper = 283

So the cases delivered will be = 28 *3 = 84 cases will be delivered today

i hope it will help you!

4 0
3 years ago
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