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:
6.
Step-by-step explanation:
We can start by defining a couple things.
x = amount of nickels
y = amount of dimes
Since he has the same amount of each, we can say this.
x = y
And because we know it totals 0.90, we can say this.
0.05x + 0.10y = 0.90
then, we substitute and get this.
0.05x + 0.10x = 0.90
Simplify.
0.15x = 0.90
Divide both sides by 0.15.
x = 6
So we have 6 nickels, and they both are the same, so we have 6 dimes.
For Three hours = 84 ,bus stop
For four = 112 ,bus stops
