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elixir [45]
3 years ago
13

Trying to find the missing segment to the triangle in the attached image.

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

36 units.

Step-by-step explanation:

we will use concept of basic proportionality theorem,

it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

In a triangle ABC

If  DE is  parallel to BC

D is a point on line AB and E is  point on AC, then

by basic proportionality theorem)

AD/DB = AE/EC

_____________________________________

in the problem  given one side has a parallel line drawn to it

Hence we can use basic proportionality theorem in it

20/30 = 24/?

2/3 = 24/?

=> ? = 24*3/2 = 36

Hence, missing segment value is 36 units.

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Alenkasestr [34]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, wha
faust18 [17]
Let x = price of shoes
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes.  Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
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4 0
3 years ago
Can you use the ASA postulate or the ASA theorem to prove the triangles are congruent?
velikii [3]
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7 0
3 years ago
Read 2 more answers
Rhianna says she can draw different functions that have the same x‑intercepts and the same domain and range. Her teammates say,
qwelly [4]

In both cases there are more than one possible function sutisfying given data.

1. If

  • x‑intercepts are (–5, 0), (2, 0), and (6, 0);
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  • the range is –4 ≤ y ≤ 10,

then (see attached diagram for details) you can build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their maximum and minimum left and right you can obtain another function that satisfies the conditions above.

2. If

  • x‑intercepts are (–4, 0) and (2, 0);
  • the domain is all real numbers;
  • the range is y ≥ –8,

then you can also build infinetely many functions. From the diagram you can see two graphs: first - blue graph, second - red graph. Translating their  minimum left and right you can obtain another function that satisfies the conditions above.

Note, that these examples are not unique, you can draw a lot of different graphs of the functions.

Answer: yes, there are more than one possible function

6 0
3 years ago
Can anybody help me, please
kvv77 [185]

Answer:

The end of the stencil is located at (8, -1)

Step-by-step explanation:

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

Location of the detail = (2, 1)

Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

Distance from beginning to detail = √((-1 - 2)² +  (2 - 1)²) = √10

Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;

√10:Length of stencil side = 1:2

Distance from detail to stencil end = 2×√10

Which gives;

Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°

x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8  

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1  

The coordinates of the end of the stencil = (8, -1)

6 0
3 years ago
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