Answer:

Step-by-step explanation:

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°
40° the answer is C
6 and 4 measure 140 then 5 and 3 measure 40
the same goes for 8 and 2 measure 140 and 1 and 1 measure 40
hope this helps!
Answer:
His normal heart rate is 50 beats per minute.
Step-by-step explanation:
Since when it is hibernating it beats 10 times per minute and that is 20 % of the normal volume we can use a rule of 3 to find his normal herat rate. If 10 times per minutes is 20% of its normal volume then x times per minutes is 100%. So we have:
10 -> 20%
x -> 100%
10/x = 20/100
20x = 1000
x = 50 beats per minute