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34.12 thirty four=34 and=. twelve hundredths=.12
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, <u>cos(A + B) = cos 90º = 0</u>
Answer:
Greater than 21
Less than 45
Step-by-step explanation:
You add and subtract the two numbers you are given.
33 - 12 = 21
The third side has to be bigger than 21.
33 + 12 = 45
The third side has to be less than 45.
It can be written in one math sentence:
21 < x < 45
