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Ann [662]
2 years ago
9

If x = 2z and y = 3z, find z

Mathematics
2 answers:
LenKa [72]2 years ago
5 0

Answer:36

Step-by-step explanation:

Let name the missing angle in the triangle w.

We know that x+z+w=180

We also know that z+w=3z=y.

That means that w=2z.

x=2z, so, 2z+2z+z=180

z=36

castortr0y [4]2 years ago
5 0

Answer:

Z=36 degrees

Step-by-step explanation:

Since angles x and y are supplementary, you know that they add up to 180 degrees.

Since we know that:

=x+y

=2z+3z

=5z

=180 degrees

180/5=36 degrees, so Z=36 degrees

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Brand A= 0.17 per pencil Brand B= 0.14 per pencil

Step-by-step explanation:

To find the price of each pencil, you divide the price by the number of pencils and then round to the nearest hundredth.

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3 years ago
On a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula
fredd [130]

Answer:

D. 914 feet

Step-by-step explanation:

We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;

d=\frac{5}{6}\sqrt{h}

Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;

We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;

\sqrt{h}=\frac{6}{5}d

The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;

h=1.44d^{2}

Given d is 25.2, h becomes;

h=1.44*25.2^{2}\\h=914.4576

To the nearest whole number, h becomes 914

8 0
3 years ago
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Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5
Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

log  \: {x}^{3}  + log \: 5x = 5log \: 2 - log \:  \frac{2}{5}  \\  \\  \therefore \: log( {x}^{3}  \times 5x) = log  {2}^{5} - log \:  \frac{2}{5}  \\  \\ \therefore \: log( 5{x}^{4}) = log 32 - log \:  \frac{2}{5} \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(32  \times  \frac{5}{2}  \bigg) \\  \\ \therefore \: log( 5{x}^{4}) = log  \bigg(16  \times  5) \\  \\ \therefore \: 5{x}^{4}=  16  \times  5 \\  \\ \therefore \: {x}^{4}=   {2}^{4}   \\  \\  \huge \purple{ \boxed{\therefore \: {x} = 2}}

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3 years ago
The circumference of a rug is 47.1 feet. What is its area?<br> Please help for 13 points
photoshop1234 [79]

Answer:

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Step-by-step explanation:

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