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3 years ago

Given m angle7=38^ and m angle10=102^ find the measure of each missing angle

Mathematics

1 answer:

GalinKa [24]3 years ago

6 0

$\angle 1 = 78\\\angle 2 = 102\\\angle 3 = 78\\\angle 4 = 102\\\angle 5 = 38\\\angle 6 = 142\\\angle 7 = 38\\\angle 8 = 142\\\angle 9 = 78\\\angle 10 = 102\\\angle 11 = 78\\\angle 12 = 102\\\angle 13 = 38\\\angle 14 = 142\\\angle 15 = 38\\\angle 16 = 142$

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Timed please help added picture

DaniilM [7]

Answer:

$\sqrt[4]{2}^{3}$

Step-by-step explanation:

7 0

3 years ago

A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

4 years ago

8/10x 1 3/5 =? would be what?

Aleonysh [2.5K]

8/10 x 1 3/5 = ?
first u need to find the mixed fraction is 8/5: 1 3/5 = 8/5
8/10 x 8/5 = 64/50
64/50 in simplest form: 32/25
32/25 equals to 1 7/25
so the answer is 1 and 7/25

6 0

3 years ago

Which set of points represents a nonlinear function?

Naily [24]

Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

8 0

1 year ago

The points (0,2) and (1,8) fall on a particuar line. What is its equation in slope-intercept form?

fenix001 [56]

Answer:

y=6x+2

Step-by-step explanation:

When using this equation, it hit the points (0,2) and (1,8)

6 0

3 years ago

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