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Setler79 [48]
2 years ago
6

I need help as fast as possible

Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

Answer:

36°

Step-by-step explanation:

Given,

Measurement of <3 = 2x+8

Measurement of <4 = 6x+12

Since both are supplementary,

Therefore,

<3 + <4. = 180° [linear pair]

=> 2x + 8 + 6x + 12 = 180

=> 2x + 6x + 8 + 12 = 180

=> 8x + 20 = 180

=> 8x = 180 - 20 = 160

=  > x =  \frac{160}{8}

=> x = 20

Now as we have got the value of x,

According to the question measurement of <4 is,

<4 = 6×4 + 12 = 24 + 12 = <u>36</u><u>°</u><u> (Ans)</u>

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Let's say the probability of you winning a game of checkers and a game of chess against your friend is 20%. The probability of y
GREYUIT [131]

The probability of winning a game of checkers against your friend is 67%.

<h3>What is the probability of winning a game of checkers against my friend?</h3>

Probability can be described as the process of determining the chances of an event happening. The chances that an event would occur has a value that lies between 0 and 1. A value of 0 is given when the event does not occur and a value of 1 if the event occurs.

The probability of winning a game of checkers = probability of winning both games / probability of winning a game of chess

20% / 30% = 67%

To learn more about probability, please check: brainly.com/question/26321175

8 0
2 years ago
Parabolas. Please help me
olganol [36]
  1. x² = 16 y
  2. x = 0
  3. (x + 4)² = 2/3 (y - 2)
  4. Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>
  5. (y - 6)² = 4p (x - 3)

Step-by-step explanation:

1. First figure

We plot the parabola as given in the attached diagram.

As it is facing upwards, the equation goes as x² = 4py

where, p = 4 (refer the attached diagram)

x² = 4py

x² = 4 (4) y

∴, standard form of parabola is x² = 16 y

2. Second figure

(y + 3)² = 4 (x - 1)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

h = 1

p = 1

Directrix is x = (h - p)

So, x = 0

3. Third figure

3x² + 24x - 2y + 52 = 0

3x² + 24x = 2y - 52

3 (x² + 8x) = 2 (y - 26)

(x² + 8x) = 2 (y - 26) / 3

Adding 16 on both sides,

x² + 8x + 16 = 2 (y - 26) / 3 + 16

(x + 4)² = 2/3 y - 52/3 + 16

(x + 4)² = 2/3 y - 4/3

(x + 4)² = 2/3 (y - 2)

4. Fourth figure

(y + 1)² = 12 (x - 3)

Comparing the given equation with the standard form

(y - k)² = 4p (x - h)

Now from this equation we get to know that

k = -1

h = 3

p = 3

Gayle identifies that the vertex of the parabola is <u>(3, -1)</u> . The parabola opens <u>right</u>, and the focus is <u>3 </u>units away from the vertex. The directrix is <u>6 </u>units from the focus. The focus is the point <u>(6, -1)</u>. The directrix of the equation is <u>x = 0.</u>

5. Fifth figure

Focus = (2, 6)

Directrix is x = 4

Therefore, it follows the standard form

(y - k)² = 4p (x - h)

Directrix is given by x = h-p = 4

Focus is given by (h + p, k) = (2, 6)

Solving for (h - p) = 4, (h + p) = 2

2 - p - p = 4

-2p = 2

p = -1

Hence, h = 3

Therefore, the standard form can be written as

(y - 6)² = 4p (x - 3)

7 0
3 years ago
8c + 18 = 34 please help
Elanso [62]

Answer:

2

Step-by-step explanatthe answer is 2

7 0
3 years ago
Read 2 more answers
Whats the error?Jonah says a common denominator for 3/4 and 2/5 is 9.What is Jonahs error?
sammy [17]
In order to get the common denominator when adding fractions or subtracting fractions, you have to make sure  that the denominator of the two items are divisible by each other. In this case, 9 is not divisible by any of the given denominators which is 4 and 5. So in this case, the common denominator will have to be 20. 5 x 4 will equal to 20 and you will also multiply 3 x 5 to get the new numerator. After that, you will multiply 2 x 4 to get the new numerator of the other fraction. The new fractions will be 15/20 and 8/20. From there, you can add or subtract
6 0
3 years ago
Y = 1/2x + 6<br> Y = -2x + 3<br> Y= 1/2x + 3<br> Y= -1/2x + 3
TEA [102]

Answer:

y=-1/2x+3

Step-by-step explanation:

it has a negative slope and it's not that steep which is why the slope isnt 2. also the first one is wrong because the y-intercept is 3

7 0
3 years ago
Read 2 more answers
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