All categories

3 years ago

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9 

You might be interested in

Look at the photo and answer the question.

Tanya [424]

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

4 0

2 years ago

Read 2 more answers

Use law of sines or law of cosines to find the length of side AB Please show work !!

scoray [572]

Answer:

$AB = 11.3$

Step-by-step explanation:

Given

The attached triangle

Required

Length AB

To do this, we make use of sine law which is represented as:

$\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}$

So, we have:

$\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}$

Make AB the subject

$AB = \frac{15}{\sin(70)} * \sin(45)$

$AB = \frac{15}{0.9397} *0.7071$

$AB = 11.3$

7 0

3 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

Please help will do anything thank you

kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

$a_n=a+(n-1)d$

Here, $T_n$ = nth term of the sequence

a = first term

n = number of term

d = common difference

From the table attached,

First term of the sequence 'a' = 5

Common difference 'd' = 8 - 5 = 3

Therefore, explicit formula for the given sequence will be,

$a_n=5+3(n-1)$

$a_n=2+3n$

c). Slope intercept form of the equation will be,

y = 3x + 2

d). Input out values for the graph of the given equation,

x 0 1 2 3

y 2 5 8 11

By using this data we can graph the line.

7 0

3 years ago

Find the area bounded by y=ln x, x=2, x=4 and the x-axis.

Advocard [28]

4 sq.units

area of a rectangle = length × breadth

length = 4units

breadth = 1units

A = l × b

= 4 × 1

= 4 sq.units

<h3>HOPE IT HELPS U </h3>

IF YES 

MARK ME AS THE BRAINLIEST

8 0

4 years ago