Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
This is the associative property, since any numbers can <em>associate </em>with each other, via the parentheses.
Answer:
Y = -3(x - 5/6)^2 - 59/12 and x = 5±i√59/6
Step-by-step explanation:
Pls give brainllest
answer: $9248
explanation:
well, we know the cost for one, so if each computer costs the same, multiply the cost of one of them by 8 to get the total.
8 x 1,156 = 9248.
so, we can assume this is what the computers will cost in total because there seems to be no added tax or fees.
<em>i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom </em>
Answer:
1 5/6
Step-by-step explanation:
first convert to /12 and put the wholes in the fraction:
6 3/4 = 81/12
4 11/12 = 59/12
Then perform the subtraction
81/12 - 59/12 = 22/12
... and simplify
22/12 = 11/6
separate the wholes
11/6 = 6/6 + 5/6 = 1 5/6