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2 years ago

Maggie drew triangle and then triangle . Triangle is congruent to triangle only if ∠ is equal to what value?

Mathematics

1 answer:

Phantasy [73]2 years ago

7 0

Answer:

Angle ABE = 58

Step-by-step explanation:

This would fulfill the AAA theorem, or 3 angles needing to be congruent. We got 58 by subtracting 89 and 62 from 180, then multiplying that answer by 2 (because it occupies both triangles).

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A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi

Rainbow [258]

Answer:

$85 \le \frac{75 + 97 + n}{3} \le 90$ ; $83 \le n \le 98$

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: $\frac{75 + 97 + n}{3}$ .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

$85 \le \frac{75 + 97 + n}{3} \le 90$

Solve for n in each statement that makes up the compound inequality:

$85 \le \frac{75 + 97 + n}{3}$

$85 \le \frac{172 + n}{3}$

Multiply both sides by 3

$85*3 \le 172 + n$

$255 \le 172 + n$

Subtract 172 from each side of the inequality

$255 - 172 \le n$

$83 \le n$

Also,

$\frac{75 + 97 + n}{3} \le 90$

$\frac{172 + n}{3} \le 90$

Multiply both sides by 3

$172 + n \le 90*3$

$172 + n \le 270$

Subtract 172 from both sides of the inequality

$n \le 270 - 172$

$n \le 98$

Combining both together, the possible values of her third quiz score would be:

$83 \le n \le 98$

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2 years ago

Find the missing angles with reasons. plz quick it is due today

likoan [24]

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

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Brrunno [24]

Answer:

7 1/2 miles

Step-by-step explanation:

The distance to the airport is 10 miles

The distance to the lake is 3/4 the distance to the airport

d =3/4 *10

d =30/4 = 7 2/4 = 7 1/2 miles

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Step-by-step explanation:

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3 years ago

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kupik [55]

10 Triangles fit inside a Decagon

Hope it helps :)

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3 years ago