Answer:
the temperature dropped 5 degrees in four hours
Step-by-step explanation:
Given ratio : 90 lbs on earth :15 lbs on the moon.
Let us write 90 lbs :15 lbs in fractions first.
90:15 = 90/15
Now, in order to determine different strategy, we need to find any equivalent fraction/ratio of the given fraction or ratio.
In order to find an equivalent fraction or ratio, we need to find a common number that can divide( even we can multiply) both numerator (top number) and denominator (bottom number).
For the given ratio 90/15, we can divide 90 and 15 both by 15.
90 ÷ 15 = 6
15 ÷ 15 = 1
Therefore, 90 lbs on earth :15 lbs on the moon could be written as 6 lbs on earth :1 lbs on the moon.
Answer:
Step-by-step explanation:
<u>Given</u>
<u>Property of AP</u>
- aₙ = a₁ + (n-1)d
- a₁ = -62, d = 5
<u>Applying same on the given function</u>
- f(n) = -62 + (n-1)*5 = -62 + 5n - 5 = 5n - 67
- f(n) = 5n - 67
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°
