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s2008m [1.1K]
3 years ago
12

What is the value of y???

Mathematics
2 answers:
ycow [4]3 years ago
5 0
Y=5

Step By Step:
180-75-75
30
4y+10=30
4y=20
y=5

Since this is an isosceles, you know that angle B is congruent to angle C (they’re both 75°).
agasfer [191]3 years ago
3 0

Answer:

y = 5

Step-by-step explanation:

ok so we dont really need to know what x is unless they ask for it but ill do it anyways

B angle and C angle are equal so...

B = 75

75 = (3x)

75 / 3 = 25

x = 25

a triangles angles equals 180 degrees

75 + 75 = 150

180 = 150 + ?

180 - 150 = 30

A = 30 degrees

4y + 10 = 30

get the y on it's own side

4y + 10 - 10 = 4y

30 - 10 = 20

4y = 20

4y / 4 = y

20 / 4 = 5

y = 5

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Need help on 15 and 16 PLEASEE!!!
melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...

so

a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8

The common difference is equal to

d=1/8

<u><em>Find the next three terms of the arithmetic sequence</em></u>

<u><em>Find a5</em></u>

a5=a4+d ----->a5=1/2+1/8=5/8

<u><em>Find a6</em></u>

a6=a5+d ----->a6=5/8+1/8=3/4

<u><em>Find a7</em></u>

a7=a6+d ----->a7=3/4+1/8=7/8

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

4.1,3,1.9,0.8,...?

so

a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8

a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

an=a1+d(n-1)

substitute the values

an=4.1-1.1(n-1)

For n=37

substitute

a37=4.1-1.1(37-1)

a37=4.1-1.1(36)

a37=-35.5

4 0
3 years ago
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
2 years ago
Read 2 more answers
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays. Assuming the
AysviL [449]

Answer:

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Step-by-step explanation:

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P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

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This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4}*(4)^{0}}{(0)!} = 0.0183

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5 0
2 years ago
The two lines graphed on the coordinate grid each represent an
shusha [124]

9514 1404 393

Answer:

  C.  (-4, -3)

Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

  (x, y) = (-4, -3)

7 0
2 years ago
Nico wanted to determine the number of students in his school who buy school lunch he walked around the cafeteria one lunch peri
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I'm pretty sure the answer is D observational study.

4 0
3 years ago
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