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°
For this case the first thing you should know is the following unit conversion:
1 yard = 3 feet
Applying the conversion we have:
6 * (1/3) = 2 yards
Therefore the number of skeins of yarn is:
N = (36) / (2)
N = 18
Answer:
You need 18 skeins of yarn
First, we need to work out the total number of students who were being surveyed.
We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population
That means total number of students being surveyed is 13+13=26 students
Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13
The probability distribution is shown in the table below. Let
be the number of pets and
is the probability of owning the number of pets
Answer:
£270
Step-by-step explanation:
Works 7.5 hours per shift and there are 5 shifts in a week, hence
hours worked per week = 7.5 × 5 = 37.5
Pay per hour = £7.20, thus
Earnings for a week = 37.5 × 7.20 = £270
