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dem82 [27]
3 years ago
10

What is the value of y

Mathematics
1 answer:
daser333 [38]3 years ago
6 0
It 72° because AB is parallel to CD
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50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
Nady [450]

Answer:

  • (1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

<h3>Side QR</h3>
  • m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

  • -1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

  • y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
<h3>Side RS</h3>
  • m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

  • -1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

  • y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

  • 5/2x + 1/2 = x + 4
  • 5x + 1 = -2x + 8
  • 7x = 7
  • x = 1

<u>Find y-coordinate:</u>

  • y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0
2 years ago
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
elixir [45]
The first option is correct. See an explanation below.

7 0
3 years ago
Please help me the last question is wrong
egoroff_w [7]

Answer:

                         

Step-by-step explanation:

5 0
3 years ago
Find 33.3% of 81 what is the answer ?
madam [21]

Answer:

27

Step-by-step explanation:

33.33% = 1/3

1/3 x 81 = 27

If I'm right follow me on gram: Greyhasnoshame

6 0
2 years ago
Read 2 more answers
Substitute teachers with Silvergrove School District get paid by the day, although subs with teaching credentials earn a differe
Firdavs [7]

Answer:

subs with credentials get paid $87 per day. subs without credentials get paid $55 per day.

Step-by-step explanation:

let x be the cost subs with credential get paid per day and y be the cost subs without credential get paid per day

so we get

4x + 6y = 678 \\ 3x + 11y = 866

using simultaneous equation by substitution method you get x=87 and y=55

3 0
3 years ago
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