Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
B. 88.8
Step-by-step explanation:
let x represent class y
(x+71.2)/2=80 multiply each side by 2
x+71.2=160 subtract 71.2 by both sides
x=88.8
or
trial an error
replace x with each of the numbers and see if it plugs in.
example:
(80.5+71.2)/2=80
151.7/2=80
75.85=80?
false. incorrect
another example:
(88.8+71.2)/2=80
160/2=80
80=80?
true. correct
It's linear
If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)
The formula for linear functions is y=mx +b
In this case b is 7
M=7-5/0+1
M=2
Now you just write the function down, it would be
F(x) =2x + 7
Answer:
its 11/6
Step-by-step explanation:
GCD of 11 and 6 is 1
Divide both the numerator and denominator by the GCD
11 ÷ 1
6 ÷ 1
Reduced fraction:
11/6
Answer:
300
Step-by-step explanation:
The total number of ratio units in 6:5 is 6+5=11, so each of those ratio units must stand for 550/11 = 50 detectives. Then the 6 ratio units of police detectives stand for 6·50 = 300 police detectives.
