solve for x and y in the parallelogram

Answer:

J (3; 9)

Step-by-step explanation:

Imagine each distance like a triangle and use Pythagorean theorem.

To illustrate I drew triangle ΔLON in the picture

Finding the distance between LN.

LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4

NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1

According to Pythagorean theorem

[tex]LN^{2} = LO^{2} + NO^{2}[/tex]

[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17

LN  = [tex]\sqrt{17}[/tex] (LN > 0)

Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)

Mark J coordinates as (x; y)

Draw another triangle JOL, ∠JOL = 90°)

OJ is parallel with x axis and OL is parallel with y axis.  O coordinates then are (4; y)

OL  = y - 5

OJ = 4 - x

Note that ΔLON = ΔJOL, so OL is the same as LO and therefore

OL = LO = y - 5 = 4;

y = 9

OJ = NO = 4 - x = 1

x = 3

So the coordinates of J are (3; 9)

Similarly find the coordinates of K

Answer:

a=542

Step-by-step explanation:

you welcome have a good day

Answer:

the answer will be a=524

Step-by-step explanation:

Answer:

w = 35

Step-by-step explanation:

The angle adjacent to 125° is

180° - 125° = 55°

The 3 angles on the straight line sum to 180° , that is

90 + w + 55 = 180

w + 145 = 180 ( subtract 145 from both sides )

w = 35

Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

Given:

The sequence is -8, -12, -16.

To find:

The nth and 52th term  of the given sequence.

Solution:

We have,

-8, -12, -16

It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is

[tex]r=a_2-a_1[/tex]

[tex]r=-12-(-8)[/tex]

[tex]r=-12+8[/tex]

[tex]r=-4[/tex]

The nth term of an AP is

[tex]a_n=a+(n-1)d[/tex]

Where, a is first term and d is common difference.

Putting a=-8 and d=-4, we get

[tex]a_n=-8+(n-1)(-4)[/tex]

[tex]a_n=-8-4n+4[/tex]

[tex]a_n=-4-4n[/tex]

Putting n=52, we get

[tex]a_{52}=-4-4(52)[/tex]

[tex]a_{52}=-4-208[/tex]

[tex]a_{52}=-212[/tex]

Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

17/8 = 2.125

5/4 = 1.25 meaning they do not form a proprtion, i hope i helped you!

Complete question :

35%

Answer:

Step-by-step explanation:

Selling price = $68

Markdown price = $44.20

Percentage markdown :

Markdown / selling price * 100%

((68 - 44.20) / 68) * 100%

(23.8 / 68) * 100%

0.35 * 100%

= 35%

Step-by-step explanation:

so do you have building blocks cuz you use it and then after you do that you get the cue that has an eight on it and then you would keep on adding on and then that would be the answer

Answer:

512.

Step-by-step explanation:

8 cubed is the same as 8 to the third power.

We usually use other ways to represent certain number to the power to help make equations easier and write less so,

instead of saying: 2 to the second power; we say 2 squared.

Instead of saying 2 to the third power; we say 2 cubed.

The number 2 was used just as example, it could be any number.

so 8 cubed = 8 to the third power so,

8 cubed = [tex]8^{3}[/tex] = 8x8x8 = 512

The value of x is 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.

median = (a+ b ) / 2

So, 12.5 = (3x+1 + 15) / 2

12.5 = 3x + 16 / 2

25 = 3x + 16

3x = 9

x= 3

Hence, the value of x is 3.

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Answer:

10/10

Step-by-step explanation:

pretty good looking pup good snout good fur nice colors overall good pup

Answer:

The 3rd One

Give Brainlest

Step-by-step explanation:

Answer:

Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.

the total sales") means to multiply.

So we can write an equation as:

c

=

r

⋅

s

Where:

c is the commission earned, what we are solving for in this problem.

r  is the commission rate -  1/

32  in this problem

s  is the total sales - $24,000 in this problem.

Substituting and calculating  c  gives:

c

=1/32 x $24,000

c=$24,000/

32

c

=

$

750

Answer:

hope you like it so can you make me brainlest pls

Answer:

y = x - 1 3/4*

Step-by-step explanation:

If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently

* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134

Answer:

Step-by-step explanation:

Answer:

It's the third one!!

Step-by-step explanation:

grs

[tex]\color{plum}\tt(B) \: segment \: \: MA \: ≅ \: segment \: SA[/tex]

Which means, the following are the corresponding(equal/similar) parts :

Thus, the statement (B) is false because there is no evidence to prove that segment MA ≅ segment SA.

Therefore, the correct option is - (B) segment MA ≅ segment SA

Answer:

(x+10)(x-10)

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

30%

Answer: B. horizontal line; yes

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

0

y-intercept:  

(0,0)

Yes it is a function. It is a horizontal line.  

Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.  

Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.  

Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b

m = 0 is the slope

b = 4 is the y intercept

Step-by-step explanation: A. vertical line; yes

horizontal line; yes

Yes! Horizontal line represents a function y = f(x)

(1):Firstly, lets understand a function. For a function to be defined, we have a set of independent variables(inputs) (Domain), a set of dependent variables (outputs) (Codomain). And a relation between the variables.

(2): Each input in X must be related to exactly one output in Y. Or else it won't represent a function.. like in the following image.. y is a function of x.Because each element ofX has one& only one image in Y

C. vertical line; no

Answer:

i cant help you with this sorry

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

hhhhjnbbbnhhh

Answer:

Since 1/5 is 0.2

and 1/5 × 9 is 9/5

We can do 0.2 × 9

which you should get 1.8

OR you can do 0.2 + 0.2 + 0.2 +0.2 +0.2 + 0.2 + 0.2 + 0.2 + 0.2 (which is 0.2 added 9 times)

Which also results in 1.8

Answer:

she could mabey multiply 9x0.2=1.8

Step-by-step explanation:

it might be 1.8 because if 1/5=0.2 and she needs to find out what 9/5 is so

you need to multiple 9x0.2 but im not sure if im right

The fraction 1/4 is greater than 1/5 and less than 1/3

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction that can be written as the form of p : q, which is equivalent to p / q.

We need to find the fraction that is greater than 1/5 and less than 1/3

Since we know that 1/5 < 1/4 < 1/3

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction that proper fraction is also called fraction which is less than 1.

Therefore the answer is; 1/4

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Answer:

Im hella sorry i couldn't find the answer i tried my best sorry :c

Answer:

3/56

Step-by-step explanation:

There are 8 letters in the word DECEMBER. The probability of picking a C first is 1/8, since there's only one C. Since the letter is not replaced, there are now 7 letters to choose from, out which 3 of those are the letter E. Therefore, the probability of picking an E second is 3/7. The total probability then is equal to [tex]\frac{1}{8}[/tex] times [tex]\frac{3}{7}[/tex], which is equal to [tex]\frac{3}{56}[/tex].

Hope this helps! :D