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mr_godi [17]
3 years ago
6

In the diagram, △ABC≅△DEF. Find the values of x and y.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

9514 1404 393

Answer:

  • x = 5
  • y = 20

Step-by-step explanation:

We need x first.

  AB = DE

  12 = 3x -3

  4 = x -1 . . . . . divide by 3

  5 = x

Now, we can find y.

  ∠C = ∠F

  7x +y = 55

  y = 55 -7x = 55 -7(5)

  y = 20

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The Midpoint of AB dkdldl
Nutka1998 [239]
  • The Midpoint of AB is (1,0).

Given that:

  • In line AB, where the coordinates of A is (3,1) and coordinates of B is (-1,-1).

To find:

  • The Midpoint of line AB.

So, according the question

We know that,

The midpoint M of a line segment AB with endpoints A (x₁, y₁) and B (x₂, y₂) has the coordinates M ( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} ).

Now from question,

We know that the the coordinates of A is (3,1) and coordinates of B is (-1,-1) of line AB.

So, we can say that

   A is (3,1) or x₁ = 3 and y₁ = 1.

   B (-1,-1) or x₂ = -1 and y₂ = -1.

∵ The coordinates of midpoint M (X,Y)

          X = \frac{x_1 + x_2}{2}

              = \frac{3-1}{2}

              = 2/2

          X = 1.

And

          Y = \frac{y_1 + y_2}{2}

              = \frac{1-1}{2}

              = 0/2

          Y = 0.

So, the midpoint of line AB is M (1,0)

To learn more about Midpoint of line, please click on the link;

brainly.com/question/14687140

#SPJ1

8 0
1 year ago
Explain how to divide negative and positive rational numbers.
I am Lyosha [343]

Answer:

The rule for multiplying and dividing rational numbers

Ok so if both numbers are negative or positive the answer will be positive. but if one number is positive and the other is negative the answer is negative.

Hope this helps

Brainliest please

7 0
2 years ago
Find the area of the sector in terms of pi. 170 6 Area = [?] T
Harlamova29_29 [7]

Answer:

see the attachment photo!

8 0
2 years ago
Can someone help me with this? sin150° =
marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

6 0
3 years ago
Read 2 more answers
What the square root of 900 show work plz
Burka [1]
Its 30 because 30×30=900
3 0
3 years ago
Read 2 more answers
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