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3 years ago

Find the length of x

Mathematics

1 answer:

qaws [65]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

Hi there!

1) Prove similarity

The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.

2) Solve for x

Now, we can set up a proportion to solve for x:

$\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3$

Therefore, x is 3 units long.

I hope this helps!

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I need help with this math problem

cricket20 [7]

F(x) = 2(x + 3), now if we distribute the 2, we get 2x + 6.

we know the lbs of apple is "x", and therefore, the lbs of orange will be the constant 3.

2x will then stand for the price for "x" lbs of apples.

and 2*3 will stand for the price of "3" lbs of oranges, which is 6 bucks.

since the 2 is multiplying the lbs quantity, it must then be the price, so both cost 2 bucks each per pound.

4 0

3 years ago

Pemdas, thank you! (-8 × -6) -4²

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

(-8 × -6) - 4²

48 - 4²

48 - 16 = 32

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

8 0

2 years ago

Read 2 more answers

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .

Marizza181 [45]

Hi there!

The answer is D. 21, 25, 29

The arithmetic sequence has a pattern of +4. From 17 you add 4, resulting to 21 and you continue.

Hope this helps !

6 0

3 years ago

8x=4x^2-1 solve by completing the square

Klio2033 [76]

Get the x terms by themselves on one side and a constant on the other side of the equal sign...

4x^2-8x=1 make the leading coefficient equal to one...

x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so

x^2-2x+1=1+1/4

x^2-2x+1=5/4 now the left side is a perfect square...

(x-1)^2=5/4 take the square root of both sides...

x-1=±√(5/4) add 1 to both sides

x=1±√(5/4)

7 0

3 years ago

Read 2 more answers