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3 years ago

Which best describes the construction of a triangle if given the segment lengths of 10 cm, 5 cm, and 4 cm?

2 answers:

8 0

It can't be constructed.
The lengths of 4 cm and 5 cm add to 9 cm and that is one too centimeter too short to make an angle with the 3rd side.

kkurt [141]3 years ago

7 0

Answer:

It is not possible to construct a triangle with the given side lengths.

Step-by-step explanation:

We have been given three segment lengths and we are asked to describe about the construction of a triangle with given lengths: 10 cm, 5 cm, and 4 cm.

We will use triangle inequality theorem to answer our given problem.

Triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So let us check our given using triangle inequality theorem as:

$5+10>4$

$15>4$

Now check another side.

$5+4>10$

$9\ngtr 10$

Since the sum of our given two sides is less than third side, therefore, we can not construct a triangle with our given side lengths.

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If x = 2y = 3 find xy-y+ x × x

olga_2 [115]

Answer:

here ....x = 2 and y = 3

$= xy - y + x \times x$

$= 2 \times 3 - 3 + 2 + 2 \times 2$

$= 6 - 3 + 2 + 4$

$= 12 - 3$

$= 9$

4 0

1 year ago

triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what

scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0

2 years ago

What is the first quartile of the box-and-whisker plot?

iogann1982 [59]

B) 48 is your answer

Hope this helps!!

6 0

3 years ago

Read 2 more answers

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Anna007 [38]

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

First term (a₁): 1033 Common difference (d): -101

Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): -39 Common difference (d): +10

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): 3.75 Common difference (d): -1.25

Explicit rule: $a_{n} = 5 - 1.25n$ Recursive rule: $a_{n} = a_{n-1} - 1.25$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 3.75 - 1.25(n - 1)$

$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

6 0

3 years ago

Find the value of unknown angle x,y,z,a,b,c with reasons and full process

Oduvanchick [21]

Answer:

Step-by-step explanation:

x = 70 degree (being vertically opposite angles)

y + 70 degree =180 degree (being linear pair)

y = 180 - 70

y = 110 degree

In triangle,

x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)

70 + 60 + missing angle =180

130 + missing angle = 180

missing angle = 180 - 130

missing angle = 50 degree

c = missing angle (being vertically opposite angles )

c = 50 degree

x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)

70 + 50 = a

120 degree = a

a = b (being vertically opposite angle

120 =b

therefore b is 120 degree

Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree

7 0

2 years ago