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Neporo4naja [7]
2 years ago
13

In triangle bcd if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Mathematics
1 answer:
MakcuM [25]2 years ago
3 0

Answer:

<b = 108 degrees

<c = 36 degrees

<d = 36 degrees

Step-by-step explanation:

The sum of angle in a triangle is 180 degrees

Hence <b + <c + <d = 180

13x-35 + 5x - 19 + 2x + 14 = 180

13x+5x+2x-35-19+14 = 180

20x-40 = 180

20x = 180 + 40

20 x = 220

x = 220/20

x = 11

Get <b

<b = 13x-35

<b = 13(11) - 35

<b = 143-35

<b = 108 degrees

Get <c

c =5x-19

<c = 5(11)-19

<c = 55-19

<c = 36degrees

Get <d

<d = 2x+14

<d = 2(11) + 14

<d = 22+14

<d = 36 degrees

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Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

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- The scale factor, measures how much larger or smaller  

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- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

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* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

6 0
2 years ago
One-half of the sum of a number and 12 is less than 27.  What is the number?  Write as an inequality.  ​
kirill115 [55]

Answer:

Call the number we need to find a.

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<=> 12 + a < 54

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3 0
2 years ago
Determine whether the given value is a solution of the equation: x + 15 = 10; x=5 *
kobusy [5.1K]

Answer:

It is not correct, x = -5

Step-by-step explanation:

5 0
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pantera1 [17]

Answer:

39 squares in all

Step-by-step explanation:

step 1 right it out

18-monday

7-tuesday

7-wednesday

7-thursday

Step 2 add them all up

then you get 39

hopes it help make me brainlist

3 0
2 years ago
Givers the linear sequence,<br> -2,7,X,Y, 2... Find the value of<br> Z.
Harrizon [31]

Answer:

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Step-by-step explanation:

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-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

7 0
2 years ago
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