Answer: No, it is not possible
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
Step-by-step explanation:
5ˣ⁻² = 6
Take log of both sides.
log 5ˣ⁻² = log 6
Use log exponent property.
(x − 2) log 5 = log 6
Solve for x.
x − 2 = log 6 / log 5
x = 2 + (log 6 / log 5)
x = 3.1133
Step-by-step explanation:
If the library surveyed 240 people and only 15% chose documentaries, then only 36 people chose documentaries and the other 204 chose something else other than documentaries. You had to get 15% into decimal form and to do that you move the "." in 15.0% left 2 places so you get 0.15. Then you multiply 240 by 0.15 and you get 36.
Answer:
8a+10=b
Step-by-step explanation:
In maths, you normally do division before multiplication, and you have to turn the words into numbers, so it would look like this=
10+8*a=b
10+8a=b.
This is writing a function rule. It says this at the top.
