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valentina_108 [34]
2 years ago
8

Find the value of x that makes the two triangles equal

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

5

Step-by-step explanation:

\triangle CDE \sim\triangle FGH...(given)

\therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)

\therefore \frac{4x}{28}=\frac{25}{35}

\therefore \frac{x}{7}=\frac{5}{7}

\therefore x=\frac{7\times 5}{7}

\therefore x=5

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Think about all of the ways in which a circle and a parabola can intersect.
xeze [42]

There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle and a parabola:

As we know the standard form of a circle:

\rm (x-h)^2 +(y-k)^2=r^2

The standard form of the parabola:

\rm y = a(x-h)^2+k  

If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)

The solution of the quartic equation will be 4.

Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.

Learn more about circle here:

brainly.com/question/11833983

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7 0
2 years ago
The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?
goldfiish [28.3K]
Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

------------------------------------------------------------------------------

Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
8 0
3 years ago
Express 3km 2m as a decimal of 1km.
puteri [66]

Answer:

3.002 km

Step-by-step explanation:

1000 m = 1 km

1 m = 0.001 km

3 km + 2 m = 3 km + 2(0.001 km)

3 km + 2(0.001 km) = 3.002 km

6 0
3 years ago
Write 14/5 as a mixed number in simplest terms.
VladimirAG [237]
The answer you are looking for is 2 4/5. Hope this helps.
3 0
3 years ago
Read 2 more answers
Please help me! 15 pts! + Brainliest!
WITCHER [35]

Answer:

D

Step-by-step explanation:

It increased 3 meters every second if you look closely at chart

4 0
3 years ago
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