Answer:
A. d, e, f
Step-by-step explanation:
Suppose there is a triangle DEF in which,
EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,
∵ Sum of all interior angles of a triangle is 180°,
⇒ ∠D + ∠F + ∠E = 180°,
⇒ 48° + 73° + ∠E = 180°,
⇒ 121° + ∠E = 180°,
⇒∠E = 59°,
Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,
∵ ∠F > ∠E > ∠D
By the above statement,
f > e > d
Hence, FIRST OPTION is correct.
Answer:
D
Step-by-step explanation:
Remember that the formula for the area of a rectangle is:
Where l is the our length and w is our width.
If we increase our length by 20%, this means that we add 20% or 0.2 of our old length to our old length. So, our new length will be:
Combine like terms:
Similarly, if we increase our width by 10%, this means that we add 10% or 0.1 of our old width to our old width. So, our new width is:
Combine like terms:
Therefore, our new area will be:
Substitute 1.2l and 1.1w. This yields:
Multiply:
Our old area is:
So, our area increased by a factor of 1.32.
This is the same as 32% of our old area.
So, our answer is D.
And we're done!
Answer:
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
Step-by-step explanation:
g(x) = -3(1/2)^x
Putting values of x
x g(x)
-2 -3(1/2)^-2 = -12
-1 -3(1/2)^-1 = -6
0 -3(1/2)^0 = -3
1 -3(1/2)^1 = -3/2
Now, making the graph we will plot
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
The graph is shown in figure below.
