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3 years ago

Find the value of x for which ABCD must be a parallelogram

Mathematics

2 answers:

svp [43]3 years ago

6 0

Parallelograms have opposite sides that are equal, so you can set BC and AD equal to each other to find the value of x if the figure is a parallelogram.
x + 3 = 2x - 1
3 = x - 1
4 = x

Now check
4 + 3 = 2(4) - 1
7 = 7

The value of x that makes ABCD a parallelogram is x = 4.

Hope this helps =)

Nezavi [6.7K]3 years ago

4 0

X+3=2x-1
x=2x-4
-1x=-4
x=4

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A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a

Nastasia [14]

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8 0

3 years ago

If a scalene triangle has its measures 4 m, 11 m and 8 m, find the largest angle.

soldier1979 [14.2K]

Answer:

129.8 approximately

Step-by-step explanation:

So this sounds like a problem for the Law of Cosines. The largest angle is always opposite the largest side in a triangle.

So 11 is the largest side so the angle opposite to it is what we are trying to find. Let's call that angle, X.

My math is case sensitive.

X is the angle opposite to the side x.

Law of cosines formula is:

$x^2=a^2+b^2-2ab \cos(X)$

So we are looking for X.

We know x=11, a=4, and b=8 (it didn't matter if you called b=4 and a=8).

$11^2=4^2+8^2-2(4)(8)\cos(X)$

$121=16+64-64\cos(X)$

$121=80-64\cos(X)$

Subtract 80 on both sides:

$121-80=-64\cos(X)$

$41=-64\cos(X)$

Divide both sides by -64:

$\frac{41}{-64}=\cos(X)$

Now do the inverse of cosine of both sides or just arccos( )

[these are same thing]

$\arccos(\frac{-41}{64})=X$

Time for the calculator:

X=129.8 approximately

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3 years ago

What is the square root of 1

almond37 [142]

Answer:

Step-by-step explanation

3 0

3 years ago

Read 2 more answers

Given that 2x − 1∶ − 4 = 16x + 1 ∶ 2x − 1 find the possible values of

IRISSAK [1]

The possible values of x are 5 and -1/12

<h3>Complete question</h3>

Given that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x

<h3>How to determine the possible values of x?</h3>

The ratio is given as:

2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1

Express as fraction

$\frac{2x - 1}{x-4} = \frac{16x + 1}{2x -1}$

Cross multiply

4x^2 -4x + 1 = 16x^2 + x -64x - 4

Collect like terms

-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0

Evaluate the like terms

-12x^2 + 59x + 5 = 0

Divide through by -1

12x^2 - 59x - 5 = 0

Expand

12x^2 + x - 60x - 5 = 0

Factorize

x(12x + 1) - 5(12x + 1) = 0

Factor out 12x + 1

(x - 5)(12x + 1) = 0

Expand

x - 5 = 0 or 12x + 1 = 0

Solve for x

x = 5 or x = -1/12

Hence, the possible values of x are 5 and -1/12

Read more about ratios at:

brainly.com/question/2328454

#SPJ1

8 0

1 year ago

Drag the tiles to the correct boxes to complete the pears. Match the values based on parallelogram ABCD, shown in the figure.

faust18 [17]

Answer:

$L$ength of \overline{BC} \rightarrow 4$ units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\$Value of x \rightarrow 2$ units$

Step-by-step explanation:

In parallelogram ABCD, BC=AD

Given:

BC=(6-x) units

AD =(x+2) units

Therefore:

6-x=x+2

x+x=6-2

2x=4

x=2

BC=(6-x) units

=(6-2) units

BC=4 units

The opposite angles of a parallelogram are equal. Therefore:

$m\angle BCD=m\angle BAD\\12^\circ+y^\circ=100^\circ-y^\circ\\y^\circ+y^\circ=100^\circ-12^\circ\\2y^\circ=88^\circ\\y=44^\circ$

$m\angle DAB=100^\circ-y^\circ\\=100^\circ-44^\circ\\m\angle DAB=56^\circ$

Therefore, the match is:

$L$ength of \overline{BC} \rightarrow 4$ units\\Value of y\rightarrow44^\circ\\m\angle DAB\rightarrow56^\circ\\$Value of x \rightarrow 2$ units$

3 0

2 years ago