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nydimaria [60]
2 years ago
6

In the picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

Mathematics
1 answer:
hichkok12 [17]2 years ago
5 0

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

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Jay and Alex have a total of 77 toy cars between them. Jay has 20% more than Alex. How many toy cars do they each have?
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Answer:

0.1

Step-by-step explanation:

100% - 20% = 0

77% - 20% = 0

100% - 77% = 0.1

8 0
2 years ago
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on
Vlada [557]

Answer:

See the explanation

Step-by-step explanation:

(a)  

H0: Consultant with more experience has the higher population mean service rating.

H1: Consultant with more experience doesn't have the higher population mean service rating.

(b)  

t = 1.9923 (see the attached image)

(c)

The degrees of freedom for the test statistic,

df = 16

The P-value of the one tailed t- test with 16 degrees of freedom is,

P−value = tdist(X,df,tails)

P-value = tdist(1.9923,16,1)

P-value = 0.032

(d)​

Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.

Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.

Hope this helps!

8 0
3 years ago
Here is a parallelogram with its diagonals shown.
pogonyaev
A. False

B. True

C. True
8 0
3 years ago
Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many
laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

Therefore, Robin will have 12 dimes in his pocket.

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3 years ago
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The slope or also known as “m” equals 4/4 or 1 in simplified form.
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3 years ago
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