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3 years ago

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Answer:

142° i think

Step-by-step explanation:

ss7ja [257]3 years ago

3 0

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

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11.26

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3 years ago

Explain and Answer!!!!

Gnom [1K]

Divide the arrow into upper triangle and lower rectangle

area of triangle :-

$\frac{1}{2} \times base \times height$

$\frac{1}{2} \times 20 \times (15 + 8 + 8) \\ \frac{1}{2} \times 20 \times 31 = 310$

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2 years ago

Read 2 more answers

Which is not a common factor of 15, 45,and 90

Naddika [18.5K]

Answer:

6/90/45/30/18/9/2

Step-by-step explanation:

15: 3/5/15/1

45: 45/1/9/5/15/3/

90: 90/1/9/10/45/2/15/6/3/30/5/18

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3 years ago

Suppose X and Y are random variables with joint density function. f(x, y) = 0.1e−(0.5x + 0.2y) if x ≥ 0, y ≥ 0 0 otherwise (a) I

Hatshy [7]

a. $f_{X,Y}$ is a joint density function if its integral over the given support is 1:

$\displaystyle\int_{-\infty}^\infty\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\frac1{10}\int_0^\infty\int_0^\infty e^{-x/2-y/5}\,\mathrm dx\,\mathrm dy$

$=\displaystyle\frac1{10}\left(\int_0^\infty e^{-x/2}\,\mathrm dx\right)\left(\int_0^\infty e^{-y/5}\,\mathrm dy\right)=\frac1{10}\cdot2\cdot5=1$

so the answer is yes.

b. We should first find the density of the marginal distribution, $f_Y(y)$ :

$f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\frac1{10}\int_0^\infty e^{-x/2-y/5}\,\mathrm dy$

$f_Y(y)=\begin{cases}\dfrac15e^{-y/5}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}$

Then

$P(Y\ge8)=\displaystyle\int_8^\infty f_Y(y)\,\mathrm dy=e^{-8/5}$

or about 0.2019.

For the other probability, we can use the joint PDF directly:

$P(X\le5,Y\le8)=\displaystyle\int_0^5\int_0^8f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=1+e^{-41/10}-e^{-5/2}-e^{-8/5}$

which is about 0.7326.

c. We already know the PDF for $Y$ , so we just integrate:

$E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5$

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3 years ago

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enyata [817]

I don’t know what the answer to the question is

4 0

3 years ago

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ​∠2​ ?

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?