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2 years ago

Please, i need help by tomorrow or I’m going to fail geometry. It’s for 20 points

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

Step-by-step explanation:

the first statement and reason is usually found in what's given at the beginning.

1.a 1. given

the last one is what they want you to prove (also found under what was given)

4. g ( the symbol just means congruent)

supplementary means if I take how far the angle opens up and add it to the other angle I will get a straight line or 180°

the middle letter tells me the corner (vertex) and like opening a book you can see how much the angle opens up. it is a definition for supplementary angles

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URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

Find the missing side and angles.

sweet [91]

Answer:

Step-by-step explanation:

This is an equilateral triangle.

The altitude bisects the 60 degree angle, so a=30

b=60 since its an interior angle of the isosceles triangle.

e = 4 since the two triangles formed by the altitude are congruent.

c = 8 since the side length is 4 + 4 = .

f = 4sqrt3 by the properties of 30 60 90 triangles.

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2 years ago

Answer this question please.

grandymaker [24]

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

3 0

2 years ago

A circle has an area of 50 square meters what is the diameter

topjm [15]

Area = πr²
50 = πr²
r = √50/π

so diameter = 2√50/π
which is = 7.98m to 3sf

7 0

3 years ago

Read 2 more answers

Mariana signed up for a streaming music service that costs $7 per month. The service allows Mariana to listen to unlimited music

valkas [14]

Answer:

50$

Step-by-step explanation:

$1.25x40= 50 so she would have to pay 50$

8 0

2 years ago