Answer:
76
Step-by-step explanation:
arrange the data set from least to greatest:
16, 31, 55, 61, 92
Range = Highest value - Lowest value = answer
Range = 92 - 16 = 76
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
Answer:
5
Step-by-step explanation:
k(x)=5 says I'm 5 no matter the value of x...
So therefore
k(-4)=5
k(56)=5
k(66378)=5
k(whatever)=5
k(x) is constantly 5 for whatever input x.
Answer:

Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have
----> equation of the line into point slope form
Convert to slope intercept form
Isolate the variable y
Distributed left side

subtract 5 both sides

2 - 28x - 35 = -33 + 5x
-33 - 28x = -33 + 5x
-33+33 = 5x+28x
0=33x
x=0