Answer:
Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.
Step-by-step explanation:
If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.
From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°
Hence, using angle addition postulate:
m∠ABD + m∠DBC = m∠ABC
20 + m∠DBC = 80
subtracting 20 from both sides (subtraction property of equality)
m∠DBC = 80 - 20
m∠DBC = 60°
Answer:
B. No, Jill is not correct, the fraction is equivalent to 0.023.
Step-by-step explanation:
The given fraction is
Observe that in the denominator there is 1000, which has three zeros after 1.
In changing the given fraction to decimal, there must be 3 significant digits after the decimal.
According to this option (b) is correct.
Moreover, when 23 is divided by 1000, we have
But Jill says that 23/1000 can be written as 0.23, so, Jill is not correct.
Hence option (b) is correct,
Answer:
Step-by-step explanation:
We can apply the distributive property then combine like terms for a simpler equation.
Hope this helped!