Answer:
<J = 45
<L = 45
<M = 90
This is an isosceles right triangle
Step-by-step explanation:
The angles of a triangle add up to 180 degrees
<J + <L + <M = 180
2x+15 + 5x-30 + 6x = 180
Combine like terms
13x -15 = 180
Add 15 to each side
13x-15+15 = 180+15
13x = 195
Divide each side by 13
13x/13 =195/13
x =15
<J =2x+15 = 2*15+15 = 30+15 = 45
<L = 5x-30 = 5*15 -30 = 75-30 = 45
<M = 6*15 = 90
The triangle is a right triangle
Since two angles are equal, that means two sides are equal so it is an isosceles triangle.
This is an isosceles right triangle
Answer:
f(-10)=53
Step-by-step explanation:
Let
f(x)=
+5x+3.............(1)
we have to find
f(-10)=?
for this we will put x=-10 in equation (1)
f(-10)=
+5(-10)+3
f(-10)=100-50+3
f(-10)=53
Answer:
B. x < -4 and x > 3
Step-by-step explanation:
Factor and set = to 0
= 0
x = - 4 or x = 3 I call these critical values
The two numbers would divide a number line into 3 intervals. Pick a value in one of the intervals and put it in the original expression. If it makes the function positive, then all the values in that interval make the function positive. If the value you picked makes the function negative, then the values in the other intervals will make the function negative. Let's pick the value of 0 and substitute it into the function
We get
+ 0 - 12 = -12 which is not positive. Therefore, all the values between -4 and 3 will make the function negative. So, the values less than -4 or greater than 3 will make the function positive. Therefore, B is the correct answer.
Another way to do this problem is to graph the function and see where the graph is above the x-axis. But, sometimes it is not easy to graph the function.
Answer:
hmm sorry
Step-by-step explanation: