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2 years ago

Given that arc GF has a measure of 108°, what is the measure of ∠ E?

Mathematics

2 answers:

Ainat [17]2 years ago

6 0

Angle E would also be 108°.

Anastaziya [24]2 years ago

4 0

Answer:

The measure of ∠ E is 108°.

Step-by-step explanation:

It is given that arc GF has a measure of 108°.

A part of the circumference is arc length. The arc length is defined as

$l=r\theta$

where, r is radius and θ is central angle.

In the unit the arc length is equal to the the central angle.

$Arc(GF)=108^{\circ}$

$\angle GEF=108^{\circ}$

Therefore the measure of ∠ E is 108°.

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For a given input value b, the function f outputs a value a to satisfy the following equation. 4a+7b=−52 Write a formula for ) f

Sergio [31]

Answer: Our required formula becomes :

$a=f(b)=-13-\frac{7}{4}b$

Step-by-step explanation:

Since we have given that

$4a+7b=-52\\$

We need to write a formula for f(b) in terms of b So, it becomes

$4a=-52-7b\\\\a=\frac{-52-7b}{4}\\\\a=\frac{-52}{4}-\frac{7b}{4}\\\\a=-13-\frac{7b}{4}$

Hence, our required formula becomes :

$a=f(b)=-13-\frac{7}{4}b$

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inysia [295]

Answer:

x = (40/4)-7.50

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Step-by-step explanation:

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2 years ago

Lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four

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Answer: i believe the answer is 4

Step-by-step explanation:

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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i

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Answer:

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

$z=r(\cos \theta +i\sin \theta)$

where, $r=\sqrt{a^2+b^2}$ and $\tan \theta=\dfrac{b}{a}$ , $\theta$ is called the argument of z, $0\leq \theta\leq 2\pi$ .

The given complex number is -5i.

It can be rewritten as

$z=0-5i$

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$\tan \theta=\dfrac{-5}{0}$

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So, the trigonometric form is

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

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