Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
Answer:
12 dollars
Step-by-step explanation:
29+12=41 or 12-49=29
9514 1404 393
Answer:
D 9/DF = 18/16
Step-by-step explanation:
Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.
For these isosceles triangles, the similarity statement could be written either of two ways:
ΔDEF ~ ΔABC or ΔDEF ~ ΔCBA
Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...
DF and AC (short sides)
DE and AB (long sides)
EF and BC (long sides)
For each (short side, long side) pair, we can write the proportion 4 ways:
- DF/DE = AC/AB ⇒ DF/9 = 16/18
- DF/AC = DE/AB ⇒ DF/16 = 9/18
- DE/DF = AB/AC ⇒ 9/DF = 18/16 . . . . . matches choice D
- AC/DF = AB/DE ⇒ 16/DF = 18/9
Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.
Answer:
127.75
Step-by-step explanation:
In this geometric series, it is clear that every number is half of the previous number. From that, we can continue on the series as shown below...
64+32+16+8+4+2+1+0.5+0.25
The series above is 9 total terms. We can add those together to get our answer.
64+32+16+8+4+2+1+0.5+0.25 = 127.75
Answer:
Step-by-step explanation:
The equation for the area of a circle is A=
.
A=area
r=radius
We were given the diameter of the circle not the radius, so we need to solve for the radius.
Radius=(1/2)Diameter So,
(1/2)6=3mm
Now we can solve for the area.
3^2(3.1415926)=28.2743mm
Now round to two decimal places.
28.27mm
