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:
h≈4.2cm
Step-by-step explanation:
Answer:
14. m = 7/8
15 x =63
16. y= 21/2
Step-by-step explanation:
14. 7 16
---- = --------
m 2
using cross products
7 * 2 = 16 * m
14 = 16m
divide by 16
14/16 = m
simplifiy
7/8 =m
14. x 14
---- = --------
18 4
using cross products
4 * x = 18 * 14
4x = 252
divide by 4
4x/4 = 252/4
x = 63
15. 30 y
---- = --------
20 7
using cross products
30*7 = 20 y
210 = 20 y
divide by 20
210/20 =y
21/2 = y
Answer:
j = 2s
Step-by-step explanation:
j is for juice
s is for seltzer
1j = 2s This could be simplified to j = 2s
Answer:
- 1008
- 3024
Step-by-step explanation:
1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.
The least common multiple of 72 and 112 is 1008.
__
2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...
3 × 1008 = 3024
Peter's house number is 3024.
