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liubo4ka [24]
3 years ago
12

Two triangles are similar if there is a correspondence between their angles and their sides so that all corresponding angles are

______ and all corresponding sides are _______.
Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional (this ratio is called the scale factor) and its corresponding angles are congruent

therefore

Two triangles are similar if there is a correspondence between their angles and their sides so that all corresponding angles are <u><em>congruent </em></u> and all corresponding sides are <u><em>proportional</em></u>

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Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
2 years ago
Read 2 more answers
Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.
UkoKoshka [18]
The answer is 30 because u need to add 60+90=150 and then subtract 180-150 which gives you 30
7 0
3 years ago
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(69 POINTS!!!)
marshall27 [118]

Answer:

3 (x^6 y^4)^(1/3)

Step-by-step explanation:

6 0
3 years ago
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A city known for its temperature extremes started the day at -5 degrees Fahrenheit. The temperature increased by 78 degrees Fahr
charle [14.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting temperature = - 5°F

Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)

Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)

Temperature at midday:

(-5°F + 78°F) = 73°F

Temperature at nightfall:

(Temperature at midday - 32°F)

(73°F - 32°F) = 41°F

7 0
3 years ago
Find the slope of f(x) = -3x +7
Arisa [49]

Answer:

-3

Step-by-step explanation:

consider f(x)=y

y=-3x+7

compare with y=mx+c

slope m=-3

3 0
3 years ago
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