All categories

3 years ago

Help me plsss ill give ten pointsssss

Mathematics

2 answers:

marshall27 [118]3 years ago

7 0

Answer:

The correct answer is option A. 5

Step-by-step explanation:

It is given a rectangle ABCD

<u>To find the value of x</u>

It is given that,

AE = 5x - 10 and EC = 2x + 5

Since ABCD is a rectangle, All diagonals are equal.

AC = BD and AE = EC

AE = EC

5x - 10 = 2x + 5

5x - 2x = 5 + 10

3x = 15

x = 15/3 = 5

Therefore the correct answer is option A. 5

Bond [772]3 years ago

6 0

Answer:

Step-by-step explanation:

AE=EC

5x-10=2x+5

5x-2x=5+10

3x=15

x=5

You might be interested in

A new toy store had expenses of $50,000 for designing and building the shelves and counters and $150,000 for the first year’s to

Naya [18.7K]

The answer would be C.

3 0

4 years ago

7th grade math packet

ololo11 [35]

Answer is 11/6
Hope this helps :)

6 0

3 years ago

Read 2 more answers

Find the equation of the normal of the curve at the given points :D thankiewss

Ahat [919]

We want to find the equation of the normal line of $y=\dfrac{20-x}{3x}$ at the point $P=(x_0,y_0)$ , where $y_0=3$ . First calculate $x_0$ . We have:

$y_0=f(x_0)=\dfrac{20-x_0}{3x_0}\\\\\\3=\dfrac{20-x_0}{3x_0}\quad|\cdot3x_0\\\\\\3\cdot3x_0=20-x_0\\\\9x_0=20-x_0\\\\9x_0+x_0=20\\\\10x_0=20\quad|:2\\\\\boxed{x_0=2}$

Now, when we know that $P=(x_0,y_0)=(2,3)$ we can write an equation of the normal line as:

$\boxed{y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)}$

Calculate $f'(x_0)$ :

$f'(x)=\left(\dfrac{20-x}{3x}\right)'=\left(\dfrac{20}{3x}\right)'-\left(\dfrac{x}{3x}\right)'=\dfrac{20}{3}\cdot\left(\dfrac{1}{x}\right)'-\left(\dfrac{1}{3}\right)'=\\\\\\=\dfrac{20}{3}\cdot\left(-\dfrac{1}{x^2}\right)-0=\boxed{-\dfrac{20}{3x^2}}\\\\\\\\f'(x_0)=f'(2)=-\dfrac{20}{3\cdot2^2}=-\dfrac{20}{3\cdot4}=-\dfrac{20}{12}=\boxed{-\frac{5}{3}}$

and the equation of the normal line:

$y-y_0=-\dfrac{1}{f'(x_0)}(x-x_0)\\\\\\y-3=-\dfrac{1}{-\frac{5}{3}}(x-2)\\\\\\y-3=\dfrac{3}{5}(x-2)\\\\\\y-3=\dfrac{3}{5}x-\dfrac{6}{5}\\\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}+3\\\\\\\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}$

4 0

3 years ago

How do you know whether a number is a multiple of another number?

emmasim [6.3K]

You can know that the number is a multiple of another number if a number is divisible by another number. Then it can be a multiple of that number. :)

4 0

3 years ago

Read 2 more answers

Can someone please answer this ASAP?

Ipatiy [6.2K]

Answer:

Letter C

Step-by-step explanation:

Given:

$5a+18$

Subtract 18 from both sides

$5a$

Divide 5 from both sides to get $a$ alone

$a$

Letter C is the correct answer choice because the dot is at -9, the arrow is facing to the left, and the dot is open indicating that it's not greater/less than ""or equal to"".

Hope this is helpful

6 0

3 years ago