Answer:
x=27.5
FG=72.5
GH=60
HF=47.5
Step-by-step explanation:
Sum of angles in a triangle=180
Therefore, FG+GH+HF=180
Substituting the values we have,
(3x - 10) + (2x+5) +(x+20) = 180
Collecting like terms
3x+2x+x = 180 +10 - 5 - 20
6x = 165
X= 27.5
FG = (3x - 10) = 3(27.5) - 10
FG= 72.5
GH= (2x+5) = 2(27.5)+5
GH=60
HF= x+20 =27.5+20
HF=47.5
Answer:
320
Step-by-step explanation:
5x4=20, 20x4=80, so that means the sequence is just multiplying by 4. 80x4=320, which is your answer.
Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if : 
then: 
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
C because that’s where the lien is going
The answer is 2^12 = 4096.
Look at a tree diagram. With one spin there are two possible outcomes (branches). Every time you spin, each of the branches split into two more branches.
With 12 spins, first there are 2 branches, then 2*2, then 2*2*2, ... In the end it's 2^12
