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Vladimir [108]
3 years ago
10

The following triangles are similar. Find x.

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Let's use the line on the right side. In the smaller triangle, the length is 4. The same side on the bigger triangle is 12. The ratio of the smaller triangle to the bigger triangle is:

\frac{4}{12} \rightarrow 4:12

12 \div 4 = 3

To find a side length for the bigger triangle, all you need to do is multiply by 3. The same side on the smaller triangle is 5. Multiply by 3

5 \times 3 = 15

That means x = 15

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Natasha_Volkova [10]

Answer:

mans latvietis nav lielisks, bet spordai būtu 18 āboli

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Step-by-step explanation:

7 0
3 years ago
A water tower casts a 100- foot shadow. At the same time, an 8- foot street sign casts a shadow of 6 feet. what is the height of
Elina [12.6K]
Set up and solve an equation of ratios.  Comparing shadow lengths, we get 100/6; comparing heights, we get x/8.  Set these two ratios equal to one another and solve the resulting equation for x:

100       x
----- = ------      Then 6x=800, and x = 800 feet^2 over 6 feet.  Your answer 
   6        8

must have the unit of measurement "ft."


6 0
3 years ago
What is 2/7 as a decimal
Tamiku [17]
Its .2857142857(long decimal xD)
6 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

4 0
3 years ago
he table below shows 10 data values: What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for t
SVETLANKA909090 [29]
From the given data sets we shall obtain the answers as follows:
<span>301 345 305 394 328 317 361 325 310 362
Re-arrange the data in ascending order:
301, 305, 310, 317,325, 328, 345, 361, 362, 394
from the above we see that:

Minimum value=301

Q1=310

median=(325+328)/2=326.5

Q3=361

Maximum value=394

Thus the box plot will be as follows:

</span>

7 0
3 years ago
Read 2 more answers
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