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3 years ago

Will mark brainliest if you answer

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

10 square in.

Step-by-step explanation:

The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)

That means the width of ABCD is 3 times the width of WXYZ.

Let's say the width of ABCD is x. Then 18*x=90 because that's the area.

x=90/18=5

Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.

Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.

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abruzzese [7]

$(X-1)(\frac{37}{4} -3ix+\frac{x}{2} )$

Hope this helps

Mark me as brainliest pls begging u

3 0

3 years ago

Solve: In 2x + In 2 = 0<br> DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means $Log_e$ </em>

<em />

Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

This is the answer.

7 0

3 years ago

Show that <1+<2+<3=180, if line l and m are parallels cut by two transversals.

Svet_ta [14]

Step-by-step explanation:

Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180

so <1 +<2 +<3=180

Hope that helps :)

7 0

3 years ago

3/24 =33/x. Use equivalent ratios to find the unknown value

Tasya [4]

X/the answer is 264
because 33 times 24 is 792 and divide that by 3 is 264
hope this helps :)

7 0

3 years ago

1) Ben had three times as many nickels as dimes. If the total value of his coins was $1, how many of each kind of coin did he ha

MArishka [77]

0 quarters, 4 dimes, 12 nickels
4x3=12
12x5=60
4x10=40
60+40=100

8 0

3 years ago