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3 years ago

In the following figure find a deg,2adeg and bdeg

Mathematics

1 answer:

vampirchik [111]3 years ago

8 0

From the figure. a and b are equal because the lines are parallel. The jargon is alternate interior angles are equal.

The two remote interior angles are equal to the exterior angle. That interprets to
b + 2a = 84o But b = a
a + 2a = 84o
3a = 84
a = 84/3
a = 28 <<<< answer
b = 28 <<<< answer
2a = 56 <<<< answer.

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Pleeeaaseee helllppppp!!!!

Phoenix [80]

Answer:

$sin\theta=\dfrac{1}{2}$

=============

<h3>Given</h3>

$cos \theta=\dfrac{\sqrt{3} }{2}$

The value of $sin\theta$

<h3>Solution</h3>

Use <u>identity</u> $sin^2\theta+cos^2\theta=1$ :

$sin^2\theta=1-cos^2\theta$
$sin^2\theta=1-(\dfrac{\sqrt{3} }{2} )^2$
$sin^2\theta=1-\dfrac{{3} }{4}$
$sin^2\theta=\dfrac{{1} }{4}$
$sin\theta=\sqrt{\dfrac{{1} }{4} }$
$sin\theta={\dfrac{{1} }{2} }$

3 0

1 year ago

A man's average speed is 36km/h. How far will he travel in 35 minutes?

JulijaS [17]

Answer:

$\huge\boxed{\sf S = 21\ km}$

Step-by-step explanation:

<u>Given Data:</u>

Speed = v = 36 km/h

Time = t = 35 mins = 35 / 60 = 0.58 hr

<u>Required:</u>

Distance = S = ?

<u>Formula:</u>

S = v × t

<u>Solution:</u>

S = 36 × 0.58

S = 21 km

$\rule[225]{225}{2}$

Hope this helped!

8 0

3 years ago

Read 2 more answers

[Angles question]

11111nata11111 [884]

Here is my friendly solution i'll skip the proof part for now. I am working on the others.

8 0

3 years ago

Doug is in line at the store. He has three items that cost $4.50, $3.05, and $1.50. Explain how Doug can add the cost of th

Angelina_Jolie [31]

Answer:

He can add through calculater or by doing addition in his mind

4 0

3 years ago

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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$

6 0

3 years ago

Read 2 more answers