Answer:
ABC- Isoceles DEF- Scalene GHI- Equilateral
Step-by-step explanation:
I think for the first part you just pick shapes from your room that have the same equal/unequal sides as the triangle
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
We’re told that QR and RS are equal, so this is an isosceles triangle.
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Answer:
Aplha=105
Step-by-step explanation:
The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105
