A triangle can only have 1 obtuse interior angle, leaving the exterior angle next to it to be acute. For example, if you have an interior angle of 120 (obtuse) then the adjacent exterior angle is 60 (acute)

The other two interior angles must be acute if you go with 1 obtuse angle, which leaves the corresponding exterior angles to be obtuse. If you wanted the exterior angles to be all acute, then you would need 3 obtuse interior angles, but that is not possible.

Why isn't it possible to have 3 obtuse angles? Consider a triangle with interior angles A, B, C. The three angles must add to 180

A+B+C = 180

If A,B,C were all larger than 90, then

A > 90

B > 90

C > 90

A+B+C > 90+90+90

A+B+C > 270

but that contradicts A+B+C being equal to 180

6 0

3 years ago

there are 3 liters of orange juice at a school party. 10 students want to drinkable of the orange juice, and they all want to ge

Softa [21]

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

7 0

2 years ago

Replace ? with =, >, or < to make the statement true.

USPshnik [31]

First you add 3+6, then take 9 and multiply by 2 which is 18, the do 26-18 which is 8×3=24.
12×3=36-12=24.
So 24=24
Your answer is A.

8 0

2 years ago

Read 2 more answers

Diane has a hospital appointment. when she arrives at the hospital, the car park is nearly full. there are a total of 534 car pa

Oksanka [162]

In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots.

4 0

2 years ago