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3 years ago

What is the value of x?

Mathematics

2 answers:

Scrat [10]3 years ago

7 0

Answer:

75 degrees

Step-by-step explanation:

In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.

Therefore, A+D=180.

Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:

$(x+30)+x=180$

Open up the parentheses

$x+30+x=180\\2x+30=180$

Subtract both sides by 30

$2x-30=180-30\\2x=150$

Divide both sides by 2

$\frac{2x}{2} =\frac{150}{2} \\x=75$

Therefore, x is equal to 75 degrees.

I hope this helps!

Ksenya-84 [330]3 years ago

4 0

Step-by-step explanation:

$\frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75$

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If you guys help me with this ill make a free coin giveaway soon. with 40 points. (Making a part two btw. check my account for i

zhuklara [117]

You basically plug in the x in the equation, for example if x = 4 and the equation is y = 2x + 5 you plug in 4 and the equation becomes y = 2(4) + 5. you then multiply and get y=8+5. from here u just add it and u get ur answer

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2 years ago

Read 2 more answers

4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

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3 years ago

A rectangle is twice as long as it is wide. If its length and width are both

puteri [66]

Answer:

a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle

Step-by-step explanation:

Let l = the original length of the original rectangle

Let w = the original width of the original rectangle

From the description of the problem, we can construct the following two equations

l=2*w (Equation #1)

(l+4)*(w+4)=l*w+88 (Equation #2)

Substitute equation #1 into equation #2

(2w+4)*(w+4)=(2w*w)+88

2w^2+4w+8w+16=2w^2+88

collect like terms on the same side of the equation

2w^2+2w^2 +12w+16-88=0

4w^2+12w-72=0

Since 4 is afactor of each term, divide both sides of the equation by 4

w^2+3w-18=0

The quadratic equation can be factored into (w+6)*(w-3)=0

Therefore w=-6 or w=3

w=-6 can be rejected because the length of a rectangle can't be negative so

w=3 and from equation #1 l=2*w=2*3=6

I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

5 0

3 years ago

Can you please help me on 3n-2(-2-7n)=4(1-8n)

barxatty [35]

Answer:

n=0

Step-by-step explanation:

3n+4+14n=4-32n

3n+14n=-32n

17n=-32

17n+32n=0

49n=0

6 0

3 years ago

Answer pleaseeeee?:)

gtnhenbr [62]

If I were to tell a kid how to use the formula (the SA of a pyramid it looks like):

First, find the area of the base of the figure, using length times width.

Next, find the perimeter of the base by adding up the length of each side of the base.

Multiply the perimeter of the base by the slant height of the figure, which is the line on the side of the figure that is diagonal.

Divide the answer you got from multiplying the perimeter of the base times the slant height of the base by 2.

Now add up the area of the base of the figure with the answer you just got by dividing the perimeter of the base times the slant height by 2.

That is how you use the formula: SA = B + 1/2(P · l)

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3 years ago