Answer: The answer is D, obtuse angles must be larger than 90 degrees
Hello there!
An equation to model this situation is 3n - 50 = -11
The unknown number has a value of 13.
Okay, so let's start by breaking down the question - we'll use <em>n</em> to model the unknown number.
-50 added to three times an unknown number equals -11?
This means we are adding -50 to something else. (We can use + -50 or - 50 since they are the same thing, I'll use - 50 since it's easier to follow.)
-50 added to three times an unknown number equals -11?
This phrase can be modeled as 3n. This is what we are taking 50 from, so we can add that to the end of the equation so far.
3n - 50
-50 added to three times an unknown number equals -11?
This can means the equation equals -11. We can model it as = -11. Now, let's add it to our equation.
3n - 50 = -11
Now, solve for n.
You want to start by canceling -50 out on the left side, so n is on it's own side, and to do this you add 50 to both sides.
3n - 50 + 50 = -11 + 50
3n = 39
To finish isolating n, divide both sides of the equation by 3.
3÷3n = 39÷3
n = 13.
I hope this helps and have a great day!
Answer:
The value of x is 16
Step-by-step explanation:
The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle
In Δ QPR
∵ QS is the angle bisector
∵ PR is the opposite side
→ By using the rule above
∴ =
∵ PS = x and PQ = 30
∵ PR = 40
∵ RS = PR - PS
∴ RS = 40 - x
∵ RS = 40 - x and RQ = 45
→ Substitute them in the rule above
∴ =
→ By using the cross multiplication
∵ x × 45 = 30 × (40 - x)
∴ 45x = 30(40) - 30(x)
∴ 45x = 1200 - 30x
→ Add 30x to both sides
∵ 45x + 30x = 1200 - 30x + 30x
∴ 75x = 1200
→ Divide both sides by 75
∴ x = 16
∴ The value of x is 16