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°
Answer:
x = 63
y = 47
Step-by-step explanation:
Given that the number of cookies sold is x and that of cupcakes i y, we have:
x + y = 110
2x + 4y = 314
Please see the image for the detailed steps.
Hey!
Answer:
4/1
Step-by-step explanation:
- The multiplicative inverse of a number is the reciprocal of it. (a/b → b/a).
- Basically you divide 1 by the other number. (1 ÷ 1/4 = 4 or 4/1).
Hope This Helps :)
