Answer:
The equation that represents Liz's walk is:
5x + 3 = 4
Step-by-step explanation:
Liz walked 6/10 mile, stopped for a break, and walked the rest of the way to the market.
Let Liz's walk after that break be x mile.
Before the break, she had walked 6/10 miles. Adding these distances, she had walked a total of (x + 6/10) miles.
Because it is 8/10 miles from Liz's house to the market, all the walks she had to do to get to the market is 8/10 miles.
That is,
(x + 6/10) is the same as 8/10.
x + 6/10 = 8/10
Multiplying by 10, we have
10x + 6 = 8
Dividing by 2 gives
5x + 3 = 4
And this is the equation we wish to write.
Step-by-step explanation:
Below is an attachment containing the solution.
Answer: The measure of angle 1 is equaled to 20
Step-by-step explanation:
4x= 80 (You divide 80 by 4, which is 20), so the measure of angle 1 is 20.
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°.
Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.
ZYX = 60o Given
TYX + ZYX = 90o Property of a diameter and circles. That's
TYX = 90 - 60
TYX = 30.
The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.
The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o
Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60
The answer is A.