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Natali5045456 [20]
2 years ago
6

Find the unknown sizes of angles:​

Mathematics
2 answers:
pav-90 [236]2 years ago
7 0
First we find X:
3x+x=180
4x=180
x=180/4
x=45.

3x=135

135+y=180
y=180-135
y=45

45+z=180
z=180-45
z=135

In conclusion, x=45, 3x=135, y=45 and z =135

Also note that the opposite angles are equal so you can just find 3x and that will be equal to z and x will be equal to y.

Hope this helped
Elis [28]2 years ago
6 0

Step-by-step explanation:

<u>We </u><u>have</u><u> </u><u>,</u>

  • x = y ( vertically opposite angles )
  • 3x = z ( ,, )

<u>As </u><u>we</u><u> know</u><u> </u><u>,</u>

  • Complete angle = 360°
  • x + y + 3x + z = 360°
  • x + x + 3x + 3x = 360°
  • 8x = 360°
  • x = 45°

<u>Hence</u><u> </u><u>,</u>

  • x = 45°
  • y = x = 45°
  • z = 3x = 45*3 = 135°
  • 3x = 135°.
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Answer:

  See attached for a graph

Step-by-step explanation:

We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.

The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...

  (x, y) = (0, -8)

The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.

The second point you will put into your sine tool is ...

  (x, y) = (8, -3)

7 0
2 years ago
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t
sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be  4180 AED

6 0
3 years ago
Which of the following is equivalent to 25 7/2?
pickupchik [31]

Answer:

{25}^{ \frac{7}{2} }  =  \sqrt[2]{ {25}^{7} }  =  \sqrt{ {25}^{7} }  \\

4 0
3 years ago
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Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D​
Anna71 [15]

Answer:

B. Line B

General Formulas and Concepts:

<u>Algebra I</u>

Undefined slopes are when x equals a certain number.

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

From the given choices, B is the correct answer.

A has a slope of 0, so <em>m</em> = 0 and would become a horizontal line.

C has a negative slope, so it is not undefined.

D has a positive slope, so it is not undefined.

B shows a vertical line, and so it has an undefined slope.

8 0
2 years ago
Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)
Nadusha1986 [10]

Answer:

Option 3 is correct that is (6+s)(s^2-6s+36)

Step-by-step explanation:

 We have general formula for sum of cube which is

a^3+b^3=(a+b)(a^2+b^2-ab)

Here, we have a=s and b=6

on substituting the values in the formula we will get

6^3+s^3=(6+s)(s^2+6^2-6s)

After simplification we will get

6^3+s^3=(6+s)(s^2+36-6s)

After rearranging the terms we will get

6^3+s^3=(6+s)(s^2-6s+36) which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is (6+s)(s^2-6s+36)



4 0
3 years ago
Read 2 more answers
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