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aleksklad [387]
2 years ago
15

Triangle Proofs Please help

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
4 0

Explanation:

There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.

<u>Statement</u> . . . . <u>Reason</u>

2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle

3. AD ≅ BD

and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle

4. ∠CAE = ∠CAD +∠DAE

and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate

5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality

6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality

7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality

8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate

9. ∠ACD ≅ ∠BCD . . . . CPCTC

10. DC bisects ∠ACB . . . . definition of angle bisector

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Rina8888 [55]
To elaborate:

To do this problem, we assume that Mr. Sanchez is driving at a constant rate.

According to this information, he has driven 120 mi in 3 hr. To find how much he drives in 5 hr, we first have to find how many mi he drives in 1 hour. To do this, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.

120/3=40

Therefore Mr. Sanchez drove at a rate of 40 mph.

However, this isn't the final answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.

40 times 5=200

In conclusion, Mr. Sanchez will drive 200 miles in 5 hours.
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3 years ago
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Ierofanga [76]

Answer:

<u>The probability of winning three games in a row is 1/64 or 1.6%</u>

Step-by-step explanation:

Probability of winning a game = 1/4

Probability of winning two games in a row = 1/4 * 1/4 = 1/16

Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64

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Step-by-step explanation:

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Angela asked each member of her class if they ever been to six flags over Georgia the class consists of 10 males and 14 females.
Feliz [49]

Answer:

2 male students didn't visit six falgs.

Step-by-step explanation:

Hello!

You have the following information:

The class has 10 male students and 14 female students.

From the females, 8 visited six flags over Georgia.

And from the total of students of class 16 visited the six flags over Georgia.

Using this information you have to calculate the number of male students that did not visit six flags.

First step: Calculate the number of male students that visited six flags.

The total of students that visited is 16 from those 8 are female then 16 - 8 = 8 male students visited six flags.

Second step: Calculate the number of students that didn't visit it.

From the total of male students in the class, 8 visited six flags so 10 - 8 = 2 male students didn't visit six flags over GA.

I hope this helps!

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