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alekssr [168]
3 years ago
12

Given two angles in each triangle how can you determine if two triangles are similar

Mathematics
2 answers:
Murrr4er [49]3 years ago
4 0

Answer:

Side-Angle-Side

Side-Side-Side

Angle-Angle-Side

Angle-Side-Angle

HL for right triangles

SSS, SAS, ASA, AAS, and HL

Komok [63]3 years ago
4 0

Answer:

Sample Response: To determine similarity, find the missing measure using the interior angle sum of a triangle. Then compare corresponding angles. If two pairs of angles are congruent, the triangles are similar because of the angle-angle criterion.

Step-by-step explanation:

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The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
podryga [215]

Answer:

g(x)=-2\sqrt[3]x

or

g(x) = -2f(x)

Step-by-step explanation:

Given

f(x) = \sqrt[3]x

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

(x_1,y_1) = (-1,2)

(x_2,y_2) = (1,-2)

We can represent g(x) as:

g(x) = n * f(x)

So, we have:

g(x) = n * \sqrt[3]x

For:

(x_1,y_1) = (-1,2)

2 = n * \sqrt[3]{-1}

This gives:

2 = n * -1

Solve for n

n = \frac{2}{-1}

n = -2

To confirm this value of n, we make use of:

(x_2,y_2) = (1,-2)

So, we have:

-2 = n * \sqrt[3]1

This gives:

-2 = n * 1

Solve for n

n = \frac{-2}{1}

n = -2

Hence:

g(x) = n * \sqrt[3]x

g(x)=-2\sqrt[3]x

or:

g(x) = -2f(x)

4 0
2 years ago
The function h(x) is given below:
g100num [7]

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of h^{-1}(x) = Range of h(x) = (5, -7, -9, -12, 16}

Range of h^{-1}(x) = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, h^{-1}(x) will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

6 0
3 years ago
What is the length of side AC of the triangle?
ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0
3 years ago
Need your help in trigonometry! please help
iren2701 [21]

Answer:

Step-by-step explanation:

6 0
3 years ago
What is the reason for statement 5 in this proof?
Sloan [31]

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

5 0
2 years ago
Read 3 more answers
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