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frozen [14]
3 years ago
5

What is measure 1, 2, 3, 4, 5?

Mathematics
2 answers:
Sonja [21]3 years ago
6 0
1 = 27
2 = 27
3 = 27
4 = 27
5 = 126
ELEN [110]3 years ago
3 0

Answer:

The triangles formed are iscocleles triangles making their bases the same angle measures. Additionally, RST anf RGT are congruent since they are each equal to 1/2 of RQTS

We also know that the interior angles of any triangle add up to 180°

Therefore,

m<R + m<T + 126 = 180

m<R + m<T = 54

Since m<R and m<T are equal, R and T must be equal to 27

m<R=27

m<t=27

Therefore,

m<1=27

m<2=27

m<3=27

m<4=27

m<5=126

Step-by-step explanation:

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HELPPPP!!!
Hatshy [7]

Answer:

(x - 1)²/4² - (y - 2)²/2² = 1 ⇒ The bold labels are the choices

Step-by-step explanation:

* Lets explain how to solve this problem

- The equation of the hyperbola is x² - 4y² - 2x + 16y - 31 = 0

- The standard form of the equation of hyperbola is

  (x - h)²/a² - (y - k)²/b² = 1 where a > b

- So lets collect x in a bracket and make it a completing square and

  also collect y in a bracket and make it a completing square

∵ x² - 4y² - 2x + 16y - 31 = 0

∴ (x² - 2x) + (-4y² + 16y) - 31 = 0

- Take from the second bracket -4 as a common factor

∴ (x² - 2x) + -4(y² - 4y) - 31 = 0

∴ (x² - 2x) - 4(y² - 4y) - 31 = 0

- Lets make (x² - 2x) completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 2x ÷ 2 = x

∴ The product of the 1st term and the 2nd term is x

∵ The 1st term is x

∴ the second term = x ÷ x = 1

∴ The bracket is (x - 1)²

∵  (x - 1)² = (x² - 2x + 1)

∴ To complete the square add 1 to the bracket and subtract 1 out

   the bracket to keep the equation as it

∴ (x² - 2x + 1) - 1

- We will do the same withe bracket of y

- Lets make 4(y² - 4y) completing square

∵ √y² = y

∴ The 1st term in the bracket is x

∵ 4y ÷ 2 = 2y

∴ The product of the 1st term and the 2nd term is 2y

∵ The 1st term is y

∴ the second term = 2y ÷ y = 2

∴ The bracket is 4(y - 2)²

∵ 4(y - 2)² = 4(y² - 4y + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

   the bracket to keep the equation as it

∴ 4[y² - 4y + 4) - 4]

- Lets put the equation after making the completing square

∴ (x - 1)² - 1 - 4[(y - 2)² - 4] - 31 = 0 ⇒ simplify

∴ (x - 1)² - 1 - 4(y - 2)² + 16 - 31 = 0 ⇒ add the numerical terms

∴ (x - 1)² - 4(y - 2)² - 16 = 0 ⇒ add 14 to both sides

∴ (x - 1)² - 4(y - 2)² = 16 ⇒ divide both sides by 16

∴ (x - 1)²/16 - (y - 2)²/4 = 1

∵ 16 = (4)² and 4 = (2)²

∴ The standard form of the equation of the hyperbola is

   (x - 1)²/4² - (y - 2)²/2² = 1

4 0
3 years ago
What is the value of x?
Alex_Xolod [135]

Answer:

x=4

Step-by-step explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4

7 0
3 years ago
Read 2 more answers
Jacob\ makes\ a\ scale\ drawing\ for\ a\ crate\ with\ a\ scale\ factor\ \ of\ 1:20,\ The\ Dimentions\ of\ his\ scale\ drawing\ a
timama [110]

I'm sorry but what was the question? Uploading the Image would be helpful.

7 0
3 years ago
Can u solve the answer
pickupchik [31]

Answer:

She needs 50 ft² of wood to cover the table

Step-by-step explanation:

You need to know the formula for area of a trapezoid, which is

A = (B1 + B2)h/s     (add the bases together, multiply by the height, then divide

                                by 2)

We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify

A = (12 + 8)(5)/2

 

    A = (20)(5)/2

       A = 100/2

         A = 50 ft²

5 0
3 years ago
Write an expression that represents the sum of a number and 12
vodka [1.7K]
X+12=y
Hope this helps :)
5 0
3 years ago
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