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adelina 88 [10]
3 years ago
6

Please help I'm desperate :(

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

<u>Similar Triangles</u>

By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

\displaystyle \frac{45}{36}=\frac{5x}{20}

Simplifying both fractions

\displaystyle \frac{5}{4}=\frac{x}{4}

Solving for x

x=5

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mrs. johnson gave a sum of money to her son and daughter in the ratio 5:6. Her daughter received $2400. how muh did Mrs. Johnson
Tresset [83]
To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son.  Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.

So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.

The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.
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3 years ago
When building a house, the number of days required to build varies inversely with with the number of workers. One house was buil
Helga [31]

Let d represent number of days and n represent number of workers.

We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.

We know that the equation y=\frac{k}{x} represents the relation where y is inversely proportional to x and k is the constant of proportionality.  

So our required equation would be d=\frac{k}{n}

Upon substituting our given values, we will get:

19=\frac{k}{35}

k=19\cdot 35

k=665

Since constant of proportionality is 665, so our equation would be d=\frac{665}{n}.

To find the number of days it will take to build a similar house with 5 workers, we will substitute n=5 in our equation as:

d=\frac{665}{5}

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Therefore, it will take 133 days for 5 workers to build a similar house.

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2 years ago
Can someone walk me through these? I need a better understanding. Or maybe just one of them so I can understand and do the rest
Olin [163]

Step-by-step explanation:

I'll do the first one as an example.

"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"

Let's call the point we're trying to find P.  Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.

KP / PL = 3 / 2

Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.

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First, let's use the x coordinates:

(x − (-5)) / (5 − x) = 3 / 2

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And now with the y coordinates:

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So the point P is at (1,-1).

4 0
3 years ago
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