Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Answer:
Step-by-step explanation:
2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)
10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)
-1 - 5g = 2g - 27 (move the terms)
-5g -2g = 27 + 1 (collect like terms and calculate)
-7g = -26 (divide both sides)
so G = 26/7
Answer:
Assuming they bought the same shoes, $82.5
Step-by-step explanation:
80% of Original Shoe price = $82
Divide by 0.8 to find the original price.
82 / 0.8 = 102.5
102.5-20=82.5
Let us draw a picture to make the things more clear.
Attached is the image.
We have been given that
Therefore, we have
Now, in triangle bcd, we have
Now, in triangle acb, we have
Thus, ad is 15 cm.
2 1/2
65/26
26*2=52
65-52=13
13/26 = 1/2
