You already have the equation given which is <span>y=0.5x+40. To graph, you just have to replace random values of x to determine the corresponding values of y. Plot these points and connect them. The graph is shown in the attached picture. As you can observe, the range starts from y=40. This is because the y-intercept is 40. So, you don't have to show the y-values below because it would just minimize your linear graph.</span>
Answer:
m∠XMN = 80°
Step-by-step explanation:
you know that:
4x + 5 + 6x - 10 = 145
solve for x:
10x - 5 = 145
10x = 150
x = 15
Use this information to solve for m∠XMN
6(15) - 10
90 - 10
80
m∠XMN = 80°
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
Answer:
2/5
Step-by-step explanation:
Probability is the chance that a certain event occurs out of the total events.
Here, the event of "choosing a blue card". The total events are just "choosing any card".
There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60: 
. Simplifying, we get:
Thus, the answer is 2/5.
Hope this helps!
Tan(30deg) = n/rt(3)
1/rt(3) = n/rt(3)—> n=1
sin(30deg) = 1/m
1/2=1/m—> m=2
Thus m=2 ,n=1
