MATHEMATICS MIDDLE SCHOOL

Under which angle conditions could a triangle exist? Check all that apply.3 acute angles
2 acute angles, 1 right angle
1 acute angle, 1 right angle, 1 obtuse angle
1 acute angle, 2 obtuse angles
2 acute angles, 1 obtuse angle

Answers

Answer 1
Answer:

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
Answer 2
Answer: Triangles exist:
3 acute angles2 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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What is the unit rate of 25/11

Answers

What is the unit rate of 25/11?

25/11

25 ÷ 11 ≈ 2.27

2.27/11

25/11 unit rate it 2.27/1, or 2.27 per 1.

The width of a computer monitor is 30 cm. If the perimeter is 144 cm, what is the area of the computer monitor?

Answers

perimeter= 144 \ cm\n width : \ w= 30 \ cm \n length: \ l= ?\n \nPerimeter = 2 w + 2l \n \n144=2 \cdot 30 +2l \n \n 144=60+2l

2l=144-60 \n \n2l=84 \ \ /:2 \n \n l=42 \ cm \n \nArea = l\cdot w \n \nA=42*30 =1 260 \ cm^2 \n \nAnswer : \ area \ of \ the \ computer \ monitor : 1260 \ cm^2

Bill measures the circumference of a circular fish pond to be 28 ft.What is the diameter of the fish pond, rounded to the nearest foot?
Use 3.14 to approximate pi.


ft

Answers

9ft? to get the circumference, we multiply the diameter to pi, so all we need to do is divide 28 ÷ π, and round.
9ft because to get circumference you multiply by π (pi or 3.14) so to get circumference you just do it the other way around like: 28 ➗π (3.14) = 8.91710... Which rounds to 9. So, the diameter is 9ft. I hope I helped and just message me if you need anything else!

4. A class has 28 students. The ratio of girls to boys is 4.3. How many girls are inthe class?
A. 21
Girls
B. 16
c. 12
Total​

Answers

Answer:

16 girls

Step-by-step explanation:

there are 4 out of 7 girls in the class.

28/7=4 (this is the unite rate per group number)

4 x 4 =16

Step-by-step explanation:

So 4:3 means for 4 girls there are 3 boys. In total, that would be 7.

So, we divide 28 by 7 for 4 meaning 1 in the 4:3 is 4.

And since we are dealing with girls, 4*4=16

To check, 4*3=12 Boys and 16+12=28

If this helped, please feel free to pick this answer as the brainliest! Thank you very much and have a wonderful day!

A person draws a map showing the amount of silt left by the flooding of the Nile River. What type of social science does this most directly describe? A. Geography
B. Archaeology
C. Economics
D. Political Science

Answers

Answer:

Geography.

Step-by-step explanation:

Geographers use many tools in their work. Maps, globes, photos, satellite images, and models are all tools that geographers might use. Geographers who study ancient Egypt might want to know how the people used the Nile River. For example, the Nile is known to flood. Geographers might study how people dealt with flooding. They might also want to know if or how they used floods to help them.

Not owned by me.

Answer: A. Geography

Step-by-step explanation:

A box of uncooked spaghetti costs $0.1369 per ounce. How much is this cost to the nearest cent?

Answers

$0.14, because the number to the right of the 3, which is 6, will round up because it's greater than 5
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