All categories

3 years ago

What is the answer to this fast smart people

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

Answer:

m<R = 106°

Step-by-step explanation:

Given,

m<R = (6x+10)°

m<S = (2x+5)°

m<T = (3x-11)°

Now,

6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}

or, 11x+4° = 180°

or, 11x = 180°-4

or, x = 176°/11

or, x = 16°

therefore, x = 16°

m<R = (6x+10)°

= 6×16°+10°

= 96°+10°

= 106°

You might be interested in

Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

What is (f + g)(x)?<br> f(x) = -2x^2 <br> g(x) = -2x^2 + 9x

andreyandreev [35.5K]

Answer:

-4x^2+9x

Step-by-step explanation:

Adding boh gives

(f+g)(x)=-2x^2+(-2x^2+9x)

=-2x^2-2x^2+9x

=-4x^2+9x

4 0

3 years ago

Which is the completely factored form of 12x3 – 60x2 4x – 20? 4(3x2 – 1)(x – 5) 4x(3x2 1)(x – 5) 4x(3x2 – 1)(x 5) 4(3x2 1)(x – 5

Neporo4naja [7]

The factors of the polynomial are $\rm 4(3x^2 + 1)(x-5)$ .

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; $\rm 12x^3 - 60x^2 + 4x -20$

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

$\rm 12x^3 - 60x^2 + 4x -20\\\\ 12x^3(x-5)+4(x-5)\\\\(12x^3+4)(x-5)\\\\ 4(3x^2 + 1)(x-5)$

Hence, the factors of the polynomial are $\rm 4(3x^2 + 1)(x-5)$ .

To know more about factorization click the link given below.

brainly.com/question/17595467

4 0

2 years ago

8.9× 10 to the power of 4

Wittaler [7]

Assignment: $\bold{Solve \ 8.9\cdot \:10^4}$

<><><><><>

Answer: $\boxed{\bold{89000}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Multiply

$\bold{10^4=10000}$

[ Step Two ] Rewrite Equation

$\bold{10000\cdot \:8.9}$

[ Step Three ] Multiply

$\bold{8.9\cdot \:10000=89000}$

[ Step Four ] Simplify

$\bold{89000}$

<><><><><><><>

$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

7 0

3 years ago

The points (-2, 6) and (2, r) lie on a line with slope 3. Find the missing coordinate r.

sashaice [31]

ANSWER: r=18

EXPLANATION:

6 0

3 years ago