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maksim [4K]
3 years ago
6

You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles

can you construct using these measurements?
Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0

Answer:

0 triangles you can construct

Evgesh-ka [11]3 years ago
5 0

Answer: Only one.

Step-by-step explanation:

We are given that in a triangle two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°.

Suppose there is also a triangle with the same measures.

Then both the triangles are congruent by SAS congruence postulate.

Thus, every triangle with the given measurement are congruent to each other by SAS postulate.

Therefore, only one triangle can be possible with the given measurement.

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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Expand and simplify(2x-3)(3x-5)
Andrews [41]

Answer:

6x^{2} - 19x + 15

Step-by-step explanation:

(2x - 3) (3x - 5)

2x(3x-5) - 3 (3x-5)

6x^{2} - 10x - 3 (3x - 5)

6x^{2} - 10x - 9x + 15

6x^{2} - 19x + 15

8 0
1 year ago
Read 2 more answers
Will give brainliest
klemol [59]

Your question is calling the figure ABCD, but the image is showing PQRS


Using the letters that you wrote:

Because the figure was only rotated and not scaled , the sides with the same letters would still be the same

So AB would be the same as A'B' ( Length of AB = Length of A′B)

and

BC = B'C'

CD = C'D'

AD = A'D'


Or by the picture:

PQ = P'Q'

QR = Q'R'

RS = R'S'

PS = P'S'





7 0
3 years ago
Read 2 more answers
HELP ME PLEEEAASSEEE I SUCK AT MATH
irakobra [83]

Answer:

the answer is letter d

5 0
2 years ago
Read 2 more answers
Pls help ASAP !!
Nutka1998 [239]

Answer:

1. The corresponding sides of the two triangles must be proportional.

Step-by-step explanation:

Option 1, is the only statement that makes GHI = JKL true. If the triangles are congruent, it means that the sides have to be proportional.

5 0
2 years ago
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