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scZoUnD [109]
4 years ago
8

Solve for x. x = __°

Mathematics
1 answer:
Luba_88 [7]4 years ago
6 0
Total inner angles add up to 720 because its a hexagon. so,
160 + 108 + 113 + 132+ 75+ x = 720
answer should be : 132°
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The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina
zloy xaker [14]

Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

Q(0,y)

The magnitude of the vector is \sqrt{65}

Magnitude is given by:

v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8

But since the terminal point is above the initial point, thus,

y > 0\\\Rightarrow y = 4

Thus, the terminal point is Q(0,4)

4 0
3 years ago
Increase 53.20 by 7%
____ [38]

Answer:

56.924

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(8,5) and (5, 7)<br> find the rate of change (slope)
Vsevolod [243]

Answer:

slope = -2/3

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

7 0
3 years ago
Read 2 more answers
Write an equation of a line with slope -1 that contains point P(2,-4)
Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0
4 years ago
The numbers 5, 6, 7, and 8 are randomly arranged to create a four-digit number. What is the probability that the number formed i
myrzilka [38]

Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • The number of possible arrangements of n elements is given by A_n = n!

In this problem, there are 4 elements, hence n = 4, T = A_4 = 4! = 24.

A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.

  • Hence, the possible options for the last 2 digits are: 56, 68, 76.
  • For each of them, there are A_2 = 2! = 2 options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.

The other 18 numbers formed are not divisible by 4, hence:

p = \frac{18}{24} = 0.75

0.75 = 75% probability that the number formed is not divisible by 4.

For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717

5 0
2 years ago
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