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3 years ago

What is angle DFE? 119 42 19 78

Mathematics

1 answer:

Liula [17]3 years ago

6 0

Answer:

∠DFE=119°

Step-by-step explanation:

step 1

Find the measure of angle BFD

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

∠BFD=(1/2)[arc BD+arc CE]

substitute the given values

∠BFD=(1/2)[38°+84°]

∠BFD=61°

step 2

Find the measure of angle DFE

we know that

∠BFD+∠DFE=180° -----> linear pair (supplementary angles)

substitute

61°+∠DFE=180°

∠DFE=180°-61°=119°

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A total of 800 pre-sale tickets and tickets at the gate were sold to football city championship game. If the number of tickets s

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Let "p" be the number of presale tickets sold

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Given that, total of 800 Pre-sale tickets and tickets at the gate were sold

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Presale tickets + tickets sold at gate = 800

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Given that, number of tickets sold at the gate was thirteen less than twice the number of pre-sale tickets

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4 years ago

There are 4 consecutive integers that add up to 362. what is the least of the 4 integers?

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Answer:

Step-by-step explanation:

Hello!

Consecutive integers are whole numbers that are directly after each other.

The first integer can be represented as x, and the next one as x + 1, then x + 2, and lastly x + 3. The sum of all these is equal to 362.

<h3>Solve for x</h3>

$x + (x + 1) + (x + 2) + (x + 3) = 362$
$4x + 6 = 362$
$4x = 356$
$x = 89$

Since x is the smallest integer in the set, the answer is 89. The other integers would be 90, 91, and 92.

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