Answer:
The angle Matt drew = 180°
Step-by-step explanation:
The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.
Let the equal angles drawn = x
x + x + x + x + x + x + x + x = 360°
8 × x = 360°
8x = 360
x = 45°
∴ each angle drawn = 45°
Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.
Finding the measure of this angle:
1 section in the circle = 45 (<em>shown above</em>)
∴ 4 sections = 45 × 4 = 180°
∴ The angle Matt drew = 180°
Answer:
6
Step-by-step explanation:
It appears you have vertical angles. The rule with angles is that no matter what, vertical angles are always congruent (or the same). This means you would have to set up the equation to solve for "b" as:
70 - 2b = 28 + 5b
You could solve this manually, but Desmos graphing calculator is faster. Simply type this in and replace b with x and it will give you the answer, which is 6. Hope this helps!
Answer:
1.341
Step-by-step explanation:
I'm smart at maths
The four-fifths of a number, in this case, z is four times the number divided by z. That is 4z/5. When we add six to the product and equate the expression to 8, we get,
4z/5 = 8
The value of z from the equation is 10.