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3 years ago

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.

1 answer:

6 0

No, these do not always forma unique triangles because it depends on what size your sides are because if you have 3 sides of the same length then that’s a equilateral and if you have two sides of the same length and one side that’s not then that would be an Isosceles triangle and if you had no sides of the same length then that would be a scalene triangle.

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Graph the image of the given triangle under a dilation with a scale factor of 1/4 and center of dilation (0, 0)

schepotkina [342]

Answer:

The image in the attached figure

Step-by-step explanation:

we know that

The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor

In this problem the scale factor is 1/4

The height of the pre-image is 4 units

The base of the pre-image is 8 units

Find out the dimensions of the image

The height of the image is $(4)\frac{1}{4}=1\ unit$

The base of the image is $(8)\frac{1}{4}=2\ units$

The image in the attached figure

6 0

3 years ago

2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.

sergeinik [125]

Answer:

AW=10

Step-by-step explanation:

In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...

Solving for XA and AZ

XA=AZ

3m=5m-4

-2m=-4

m=2

If YW=10m then 10 x 2 = 20

20 divided by 2 = 10

4 0

2 years ago

Haben knows that the angle of elevation from the top of a rock formation to a stake in the ground 50 feet from its base is 42°.

Murrr4er [49]

Answer:

The height of the rock formation is $45.02\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

$tan(42\°)=h/50$

solve for h

$h=50*tan(42\°)=45.02\ ft$

4 0

3 years ago

Read 2 more answers

Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

5 0

3 years ago

Mandarinka [93]

Answer: D:{8,-6,2,0}: R:{5,-9,5,-8}

Explanation:
The domain is x and the range is y, so I'll go through each coordinate;
(8,5) domain=8; range=5
(-6,-9) domain=-6; range=-9
(2,5) domain=2; range=5
(0,-8) domain=0; range=-8
So the answer is D:{8,-6,2,0}: R:{5,-9,5,-8}

3 0

3 years ago

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.​

A triangle is formed using three given side lengths. Do these lengths always forma unique triangle? Explain.