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3 years ago

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

Mathematics

2 answers:

just olya [345]3 years ago

8 0

Answer:

3 acute angles
2 acute angles, 1 right angle
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

Triangles exist:
3 acute angles 2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle

Triangles DON'T exist for:
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles

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Triangle EFG has vertices E(-3,1), F(1,1), and G(4,5). Find the coordinates of the image of point of E after a translation of 3

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.

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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 negative reciprocals. 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.

y-axis

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

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

x-axis

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.
hope this helped!

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.

(Note to asker: Lack of explanations can get my answer deleted)

Step 1

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.

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

Step 2.

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.

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

Step 3

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