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3 years ago

In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.

Mathematics

2 answers:

Kobotan [32]3 years ago

8 0

91 because 180- 89=91

Mumz [18]3 years ago

5 0

Alright, lets get started.

Angle 3 and angle 4 are adjacent angles because they are having the common side.

They both are on straight line, so, their addition will be 180°.

Suppose angle 4 is x , hence

angle 4 + angle 3 = 180

$x + 89 = 180$

Subtracting 89 from both sides

$x + 89 - 89 = 180 - 89$

$x = 91$ °

Hence angle 4 is 91°. : Answer

Hope it will help :)

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Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1

krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

$a_{n} =4-3(n-1)$

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, $a_{n} =a+(n-1)d$

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence for nth term

$a_{n} =4-3(n-1)$

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

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2 years ago

I need help on my homework

soldi70 [24.7K]

Answer:

$\displaystyle m\angle AED=32.5^\circ$

Step-by-step explanation:

<u>Angles in a Circle</u>

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

$\displaystyle m\angle AED=\frac{AD-BC}{2}$

$\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}$

$\displaystyle m\angle AED=32.5^\circ$

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