All categories

11 months ago

The following angles are supplementary to each other.

Mathematics

2 answers:

Elan Coil [88]11 months ago

4 0

The value of x in given angles is 36°

<h3>What are supplementary angles?</h3>

When the sum of two angles is 180°, then they are said to be supplements of each other.

Given are two angles which are supplements of each other,

Then according to definition of supplementary angles,

m∠A+m∠B = 180°

(2x − 27)°+(3x + 27)° = 180°

2x+3x = 180°

5x = 180°

x = 180°/5

x = 36°

Hence, The value of x in given angles is 36°

For more references on supplementary angles, click;

brainly.com/question/13045673

#SPJ2

choli [55]11 months ago

3 0

Answer:

Step-by-step explanation:

(2x - 27) + (3x + 27)= 180 (supplementary)

2x - 27 + 3x + 27 = 180

2x + 3x + 27 - 27 = 180

5x + 0 = 180

180 ÷ 5 = x

36 = x

You might be interested in

A concession stand sells two sizes of popcorn. The small bag holds 20 ounces and costs $4, and the large bag holds 32 ounces and

Usimov [2.4K]

Step-by-step explanation:

The answer is in the picture

4 0

2 years ago

Read 2 more answers

Find the sum or difference

klasskru [66]

Answer:dd and subtract the remaining numbers in the math problem. The sum will be the result of adding numbers, while the difference will be the result of subtracting them. For instance, in the math problem 4 + 3 - 5, the sum of 4 and 3 will be 7, and the difference between 7 and 5 will be 2.

Step-by-step explanation:

5 0

2 years ago

What is the area of the top of the water buoy as shown in the figure?

gayaneshka [121]

Answer:

The answer is 28.26 square in

Step-by-step explanation:

As, the diameter if the top = 6 inches

And the area of a circle = 3.14(pi) x radius^2

So here radius = Diameter /2 = 6/2 = 3

So radius = 3 inches

So area = 3.14 x (3)^2

= 3.14 x 9

= 28.26 square in

4 0

2 years ago

Read 2 more answers

4(x − 3) − 5(x + 1) = 3 Which of the following algebraic properties is not needed to solve this equation?

skelet666 [1.2K]

Hi there!

To solve this problem, you need to use the distributive property. You distribute the 4 inside the parenthesis as well as the 5.

Hope this helps!

7 0

2 years ago

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices R'(0, –2), S'(

sleet_krkn [62]

Answer with explanation:

Pre -image= Vertices of Δ R ST=R(2, 0), S(4, 0), and T(1, –3)

Image of Δ R ST after rotation= R'(0, –2), S'(0, –4), and T'(–3, –1)

Pre-Image lies in Fourth Quadrant and Image lies in Third Quadrant.

If triangle is rotated by different angles in anticlockwise direction,then

$(a,b)_{90^{\circ}}=(-b, a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(b, -a)$

If triangle is rotated by different angles in Clockwise direction,then

$(a,b)_{90^{\circ}}=(b, -a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(-b, a)$

⇒→So, Pre image that is ,Δ R ST having vertices ,R(2, 0), S(4, 0), and T(1, –3) when rotated by either 90° in clockwise direction or by 270°, in anticlockwise Direction to get Image Δ R' S'T' having vertices R'(0, –2), S'(0, –4), and T'(–3, –1) .

7 0

2 years ago