Answer:
Step-by-step explanation:
For the first few exponents multiply and the rest they add because like terms.
The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.
A circle is a curve sketched out by a point moving in a plane. The measure of the ∠ACB or θ is 50°.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
In order to solve the problem, we need to draw a line segment AB. Since A is the center of the circle AC and AC both will be the radius of the triangle ΔABC. Since two sides of the triangle are equal, the measure of ∠ABC and ∠ACB will be equal therefore, we can write,
∠ACB + ∠ABC + ∠BAC = 180°
2∠ACB + 80° = 180°
∠ACB = 50°
Hence, the measure of the ∠ACB or θ is 50°.
Learn more about Circle:
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Answer:
x=25
Step-by-step explanation:
DEF=180, Therefore GED+GEH+HEF=180
x+30+x+40+2x+10=180
Combine like terms:
4x+80=180
subtract 80 by both sides:
4x=100
divide by 4 on both sides
x=25
