Answer:
b = 80°
Step-by-step explanation:
The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.
Thus, the angle is = 80°
Therefore, b + 80° = 180° (angle on a straight line = 180°).
Thus, b = 180° - 80° = 100°.
The measure of b is 80°.
If he starts earning 40% more after he worked more than 30 hours and worked for 35 hours , that means that those 5 extra hours were worth 1.40(5) hours
Which is 7
So he earned what he would have earned if he had worked for 37 hours.
If he earned 436.60 in 35 hours ( which is equivalent to 37 normal hours )
he earns 436.60 ÷ 37 per hour
436.60 ÷ 37 = 11.8
Which means he normally earns $11.8 per hour !
I hope you understood my brief explanation
And please consider marking this as the Branliest awnser if you think it deserves! Thank you. :)
The sum of all angles in an octagon is given by
180*(n-2) >>>>>>>>>with n = 8
180*(8-2) = 1080 degrees
A + B = 1080 .......where
A is the <span>angle of an octagon which is twice that of the other seven angles
</span><span>
B equals the sum of the other seven angles
If we assume each angle of B is equal to each other, then
B = x+x+x+x+x+x+x = 7x
</span>
And A = 2x
The equation that results is
A + B = 2x +7x = 9x =1080
x = 120 degrees
2x = A = 240 degrees
Top and bottom the are parallel and the sides are also parallel
Answer:
°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
![a = c](https://tex.z-dn.net/?f=a%20%3D%20c)
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
![86=\frac{a+c}{2}](https://tex.z-dn.net/?f=86%3D%5Cfrac%7Ba%2Bc%7D%7B2%7D)
Substitute,
![86=\frac{a+c}{2}](https://tex.z-dn.net/?f=86%3D%5Cfrac%7Ba%2Bc%7D%7B2%7D)
![86=\frac{a+a}{2}](https://tex.z-dn.net/?f=86%3D%5Cfrac%7Ba%2Ba%7D%7B2%7D)
Simplify,
![86=\frac{a+a}{2}](https://tex.z-dn.net/?f=86%3D%5Cfrac%7Ba%2Ba%7D%7B2%7D)
![86=\frac{2a}{2}](https://tex.z-dn.net/?f=86%3D%5Cfrac%7B2a%7D%7B2%7D)
![86=a](https://tex.z-dn.net/?f=86%3Da)