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Lyrx [107]
3 years ago
10

Need help on test Angles and triangles 2

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
6 0
Alternate interior: <2 and <7
(They are on opposite sides of the transversal line, but inside the parallel lines.)

Corresponding: <1 and <3
(They have the same measure because they are in the same spot above the parallel line.)

Alt exterior: <1 and <8
(They are on opposite sides of the transversal, but on the outside of the parallel lines.)
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Katena32 [7]

Answer:

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Step-by-step explanation:

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bogdanovich [222]

Answer:

\displaystyle y = -   \frac{1}{2} x  - 3

Step-by-step explanation:

we are given a line

we want to figure out the equation of theline remember the slope-intercept form of linear equation:

\displaystyle y = mx + b

where:

  • m is the slope of the equation
  • b is y-intercept

from the graph we can clearly see that the line passes y-intercept at <u>(</u><u>0</u><u>,</u><u>-</u><u>3</u><u>)</u> point therefore b is <em>-</em><em>3</em>

to figure out m we can consider the following formula:

\displaystyle m =   \frac{ y_{2} -  y_{1}}{ x_{2} -  x_{1}}

from the graph we obtain:(0,-3),(2,-4)

\displaystyle m =   \frac{  - 4 - ( - 3)}{ 2 - 0}

simplify substraction:

\displaystyle m =    - \frac{   1}{ 2 }

now altogether substitute:

\displaystyle y = -   \frac{1}{2} x  - 3

and we are done!

3 0
3 years ago
Read 2 more answers
Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximum
sladkih [1.3K]

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

7 0
3 years ago
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