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BARSIC [14]
3 years ago
14

Prove that ΔABC and ΔEDC are similar.

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer:

∠DCE is congruent to ∠CBA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.

Step-by-step explanation:

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Express each rate as a unit rate. 720 miles traveled on 60 gallons of gasoline=
Brut [27]
720 miles traveled on 60 gallons of gasoline.
Express this on its Unit Rate.
To get the answer, we need to divide 720 miles by 60 gallons of gasoline
=> 720 / 60 = 12 miles /gallons
Thus, in every 1 gallon of gasoline, you can travel 12 miles.
So, the expression would be like this:
720 miles / 60 gallons = 12 miles / gallon
Let’s check our answer
=> 12 miles x 60 gallons = 720 miles.
Thus, we got the correct answer.



7 0
3 years ago
Is 3pi/2pi a rational number or an irrational number? Explain your reasoning
Vadim26 [7]

Answer:

It is rational

Step-by-step explanation:

The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1

Therefore,

(3pi)/(2pi) = (3/2)*(pi/pi)

(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above

(3pi)/(2pi) = 3/2

we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.

7 0
2 years ago
Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. The
sweet [91]

Answer:

Option A

Step-by-step explanation:

The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.

While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.

5 0
3 years ago
Your patience while we update our system.
Masja [62]

Answer:

equation: 320+x=360, answer: 40

Step-by-step explanation:

add 100,200 and 100 to get 320

360-320=40

x=40

8 0
3 years ago
If x = -3 calculate the value of 2xsquared+x
pochemuha
33. 2x-3= -6
-6^2(squared) = 36 
36 +(-3) = 33
5 0
3 years ago
Read 2 more answers
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