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kondaur [170]
2 years ago
5

Find the value of x that makes line m ll n

Mathematics
1 answer:
guapka [62]2 years ago
5 0

Answer:

See below ↓

Step-by-step explanation:

14.

  • Between two lines m ║ n, the ∦ cuts through them forming two angles
  • As it forms a line, the sum of the angles is 180°
  • 3x + 47 + x + 7 = 180
  • 4x + 54 = 180
  • 4x = 126
  • x = 126/4 = 63/2 = 31.5

15.

  • Alternate exterior angles on a transversal are equal
  • 5x = 2x + 78
  • 3x = 78
  • x = 26
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-Dominant- [34]

Answer:

a. N=25

b. X[bar]= 60.52

c. Y[bar]= 106.72

d. SSx= 115.24

e. ∑X*∑Y = 4036684

f. SSxy= 202020.3296

g. √(SSx*SSy)= 449.46

Step-by-step explanation:

Hello!

Using the attached data you need to calculate some statistics.

a) N

The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.

b.

The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52

∑X is listed in the second table.

c.

The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72

∑Y is listed in the second table.

d.

Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24

e.

∑X*∑Y =1513*2668= 4036684

f.

SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296

g.

√(SSx*SSy)= √(115.24*1753)= 449.46

I hope you have a SUPER day!

3 0
3 years ago
PLZ HELP PLZ HELP brainlyist for correct answer
Amiraneli [1.4K]
So you basically plug in the x value beside the 5 so if your on number 3 the answer would be 5(3) which is 15

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3 years ago
What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = \frac{15}{10}=\frac{3}{2} If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

15(\frac{3}{2})= \frac{45}{2}=22.5 Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

A_n=a_1(r)^{n-1 where a1 is the first number in the sequence and r is the common ratio. Filling in:

A_n=10(\frac{3}{2})^{n-1

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Which equation can be used to calculate the surface area of the triangular prism net show below?
enyata [817]

Given:

Net of a triangular prism

To find:

Which equation can be used to calculate the surface area of the triangular prism.

Solution:

Using formulas:

Area of rectangle = length × width

Area of triangle = \frac{1}{2}\times b\times h

Area of left triangle = \frac{1}{2}\times 5\times 12

Area of right triangle = \frac{1}{2}\times 5\times 12

Area of bottom = 5 × 10

Area of Middle = 12 × 10

Area of top = 13 × 10

Surface area of triangular prism:

Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top

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Replace multiplication by brackets.

                     $=\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10)

The equation can be used to calculate surface area of triangular prism is

$\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10).

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Answer: look at the graph it shows you the answer

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