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Minchanka [31]
2 years ago
6

The lines a and b intersect at point C. What is the value of y?

Mathematics
2 answers:
Misha Larkins [42]2 years ago
8 0

Answer:

y is not mentioned in the question.

40°=(2z+10)°

40°-10=2z

30=2z

30/2=z

15=z

Amanda [17]2 years ago
7 0

Using the definition of vertical angles, the value of z is: 15.

<h3>Vertical Angles Pair</h3>

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

2z + 10 = 40

2z = 40 - 10

2z = 30

z = 30/2

z = 15

Therefore, using the definition of vertical angles, the value of z is: 15.

Learn more about vertical angles on:

brainly.com/question/1673457

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A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain h
Hitman42 [59]

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

<u>Sec</u><u>   |  12    |    60</u>

<u>Fts</u><u>    |  780  |    x  </u>

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900

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3 years ago
At a high school movie night, the refreshments stand sells popcorn and soft drinks. Of the 100 students who came to the movie, 6
RUDIKE [14]
Independent events. Someone does not have to buy popcorn to buy a drink and someone does not have to buy a drink to buy popcorn.
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3 years ago
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Vsevolod [243]

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Step-by-step explanation:

6 0
3 years ago
Which properties would you use to simplify the following expression? log (17x3)
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

8 0
3 years ago
WILL MARK BRAINLIEST !!!<br> find the indicated value for each of the figures shown or described
timama [110]

Answer:

10. 9

In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.

Therefore,

15^2 = 12^2+x^2

225=144+x^2

81=x^2

x=9

__________________________________________________________

11. x=12

In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:

11+a+b=21

a+b=10

5+5=10

b=5

a=5

The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:

c^2 = a^2+b^2

13^2=5^2+x^2

169=25+x^2

144=x^2

144= 12 x 12

x=12

__________________________________________________________

12.

The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.

c^2 = a^2+b^2

2^2 = (square root of 3)^2+b^2

4=3+b^2

1=b^2

b=1

Step-by-step explanation:

6 0
3 years ago
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