Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
#SPJ1
Answer:
-(20+z)/y = x
Step-by-step explanation:
-20=xy +z
Subtract z from each side
-20 -z = xy+z-z
-20 -z = xy
Divide each side by y
(-20 -z)/y = xy/y
Factor out a negative
-(20+z)/y = x
Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
A) 60 percent of 30 is 18
B) if there are 30 students total and 18 of them are girls then 30-18=12 so 12 are boys
:D have a good day!
<span>a^3 - b^3 = (a - b) </span><span>(<span>a^2 + </span>ab + b^2)
</span><span>so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)
hope it helps</span>
