Answer:
m<BDC = 62 degrees
Step-by-step explanation:
Using the expression;
<ABC = <ABD + <DBC
107 = 7x-4 + 9x - 1
107 = 16x-5
16x = 107 + 5
16x = 112
x = 112/16
x = 7
Get m<DBC
m<BDC = 9x - 1
m<BDC = 9(7)-1
m<BDC = 63 - 1
m<BDC = 62 degrees
Answer:
15 yards, 45 feet and 540 inches are equal.
Step-by-step explanation:
To know if the measurements are equal, we first need to convert all the measures to the same unit. In this case, I will convert them all to feet.
a.6 feet
b.15 yards ≈ 45 feet
c.45 feet
d.600 inches ≈ 50 feet
e. 12 feet
f. 540 inches ≈ 45 feet
Therefore, b, c and f are equal.
If 2x+7>=0, x>=-3.5 then |2x+7|=2x+7.
Then the inequality becomes:
2x+7>23, 2x>16, x>8.(which is an acceptable result since we already assumed x>=-3.5)
If 2x+7<0, x<-3.5 then |2x+7|= -(2x+7).
Then the inequality becomes:
-(2x+7)>23, 2x+7<-23, 2x <-30, x<-15.
(which is an acceptable result since we already assumed x<-3.5)
Thus the answer is x<-15 or x>8.
The graph is simple. You draw the line of real numbers and "shadow" all numbers above 8 and all numbers bellow - 15.
The standard form for a circle is

. We have our h and k, and we also have x and y. So let's fill in accordingly and solve for the radius squared term.

. Simplifying we get

or 25. Now let's rewrite the equation with the radius term: