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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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torisob [31]

Answer:

E(-1,3) F(3,-2) G(6,2)

Step-by-step explanation:

It's just simple addition and subtraction. The x-coordinate would add 2 since it is going to the right, which is positive. The y-coordinate would subtract 3 since going down be negative.

7 0
3 years ago
Two perpendicular lines intersect on the -axis. The equation of one line is y- 4x-6=0. Determine the equation of the other line.
Kay [80]

Answer:

y = -\frac{1}{4}x + 6 or y = -\frac{1}{4}x - 0.375

Step-by-step explanation:

For 2 lines to be perpendicular, their slopes must be <u>negative reciprocals</u>. In order to find the perpendicular of y - 4x - 6 = 0:

SLOPE INTERCEPT FORM: y = 4x + 6

SLOPE OF LINE A: m=4

SLOPE OF LINE B (the one you are looking for): m=-\frac{1}{4}

Since I don't know if you meant that they intercept on the x or y axis I will do both.

<u>y-axis</u>

y-6=-\frac{1}{4}(x-0)

y = -\frac{1}{4}x+6

<u>x-axis</u>

y-0=-\frac{1}{4}(x-1.5)

y=-\frac{1}{4}x-0.375

7 0
3 years ago
I need to know how to solve these
My name is Ann [436]
1. make an equation
4x+7(20) = 5(x+20)
2. multiply the numbers and distribute 5 through the parenthesis
4x+140 = 5x+100
3. move variables to the left side and change its sign and move constant to the right side and change its sign
4x-5x = 100-140
4. collect the like terms and calculate the difference
-x = -40
5. change the signs on both sides of the equation
x = 40
he needs to use 40 pounds of the cheaper coffee.
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4 0
3 years ago
penny makes 6 liters of applesauce.she saves 0.56 liter for dinner and puts te rest in jars.if each jar holds 0.68 litef,how man
dusya [7]
8 jars because you subtract 0.56 from 6. Afterwards, you divide the difference which is 5.44, by 0.68 and get eight. 
6 0
3 years ago
Solve for m please. No explanation needed thank you.
liq [111]

Answer is below.

<em>(Note to asker: Lack of explanations can get my answer deleted)</em>

<em />

<u><em>Step 1</em></u>

We'll to isolate the variable, but to do that, get rid of the coefficient that multiplies it.

To do that, divide both sides by 22.

\frac{22m}{22}=\frac{22}{10}

<em><u>Step 2.</u></em>

Now we have divided both sides by 22, but we'll need to reduce the fraction \frac{22m}{22}.

We can reduce the fraction by dividing the factors that are in the numerator and denominator.

That being said, 22 appears both in the numerator and denominator.

\frac{22m}{22}=m=\frac{2\times5}{2\times11}

<u><em>Step 3</em></u>

Now, for \frac{2\times5}{2\times11}, we'll need to reduce it to the lowest terms. Like in the 2nd step, we'll divide factors that are in the numerator and denominator.

That being said, 2 appears both in the numerator and denominator.

Hence, M = 5/11

3 0
3 years ago
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