The measure of ∠DCB is 128°.
The measure of ∠ECD is 52°
<u>Step-by-step explanation</u>:
- At the point of intersection, the opposite angles are equal.
- Therefore, ∠ACB = ∠ECD and ∠ACE = ∠DCB
- The measure of angle in straight line is 180°.
∠ACB + ∠ACE = 180°
(x+11)° + (3x+5)° = 180
⇒ 4x+16 = 180
⇒ 4x = 164
⇒ x = 164/4
x = 41°
∠DCB = ∠ACE ⇒ (3x+5)°
∠DCB = 3(41)+5 = 128°
∠ECD =∠ACB ⇒ (x+11)°
∠ECD = 41+11 = 52°
Answer:
Total earning of Clarissa for the november month is $3840 .
Step-by-step explanation:
As given
Clarissa works in sales for a software company.
Her pay each month varies, because each month she receives a base pay of $2,400.00 plus 8% commission on her sales.
During the month of November, Clarissa had $18,000.00 in sales.
8% is written in the decimal form
= 0.08
Commission price = 0.08 × sales in november month .
= 0.08 × 18000
= $ 1440
Total earning in november month = Base price + Commission price
= $2400 + $ 1440
= $ 3840
Therefore the total earning of Clarissa for the november month is $3840 .
Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was<u> 2/5</u>
The average tapes used in those 3 days was:
= (35 + 60 + 25) / 3
= 120 / 3
= 40 tapes
The total number of tapes that can be used are:
= 50 + 50 per rack
= 100 tapes
The fraction of the average is:
= 40 / 100
In the lowest term this is:
= 2 / 5
In conclusion, the fraction is 2/5
Find out more about fractions at brainly.com/question/233783.
Answer:
The probability that you will choose a consonant and then a vowel is 0.21....
Step-by-step explanation:
Total no of tiles = 28 + 12 = 40
First you should choose a consonant = 12/40
Second you should choose a vowel = 28/40
So the probability you choose a consonant and then a vowel:
= 12/40 * 28/40
=336/1600
=0.21
So the probability that you will choose a consonant and then a vowel is 0.21....