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3 years ago

Given m || n, find X....PLEASE HELP ASAP....SOS...SUCK AT MATH PLEASE HELP ME!!

Mathematics

1 answer:

nexus9112 [7]3 years ago

5 0

The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180

Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180

Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31

ANSWER: x = 31

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Mike pays $20 per hour for algebra tutoring. The equation y = 20x relates the cost of tutoring (y) to the number of hours (x) he

kotykmax [81]

The unit rate in the equation is 20.

Option C) is the correct answer.

Step-by-step explanation:

Step 1 :

In the given equation y = 20x

where,

x ⇒ total number of hours for tutoring

20 ⇒ the cost per hour of tutoring

y ⇒ the total cost for total hours of tutoring

Step 2 :

Unit rate refers to the value per hour.

Here, the cost for 1 hour of tutoring is $20.

∴ The unit rate is $20 per hour of tutoring.

8 0

3 years ago

Two streams flow into a reservoir. Let X and Y be two continuous random variables representing the flow of each stream with join

zlopas [31]

Answer:

c = 0.165

Step-by-step explanation:

Given:

f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,

f(x, y) = 0 otherwise.

Required:

The value of c

To find the value of c, we make use of the property of a joint probability distribution function which states that

$\int\limits^a_b \int\limits^a_b {f(x,y)} \, dy \, dx = 1$

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)

By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

$\int\limits^3_0 \int\limits^3_0 {cxy(1+y)} \, dy \, dx = 1$

Since c is a constant, we can bring it out of the integral sign; to give us

$c\int\limits^3_0 \int\limits^3_0 {xy(1+y)} \, dy \, dx = 1$

Open the bracket

$c\int\limits^3_0 \int\limits^3_0 {xy+xy^{2} } \, dy \, dx = 1$

Integrate with respect to y

$c\int\limits^3_0 {\frac{xy^{2}}{2} +\frac{xy^{3}}{3} } \, dx (0,3}) = 1$

Substitute 0 and 3 for y

$c\int\limits^3_0 {(\frac{x* 3^{2}}{2} +\frac{x * 3^{3}}{3} ) - (\frac{x* 0^{2}}{2} +\frac{x * 0^{3}}{3})} \, dx = 1$

$c\int\limits^3_0 {(\frac{x* 9}{2} +\frac{x * 27}{3} ) - (0 +0) \, dx = 1$

$c\int\limits^3_0 {(\frac{9x}{2} +\frac{27x}{3} ) \, dx = 1$

Add fraction

$c\int\limits^3_0 {(\frac{27x + 54x}{6}) \, dx = 1$

$c\int\limits^3_0 {\frac{81x}{6} \, dx = 1$

Rewrite;

$c\int\limits^3_0 (81x * \frac{1}{6}) \, dx = 1$

The $\frac{1}{6}$ is a constant, so it can be removed from the integral sign to give

$c * \frac{1}{6}\int\limits^3_0 (81x ) \, dx = 1$

$\frac{c}{6}\int\limits^3_0 (81x ) \, dx = 1$

Integrate with respect to x

$\frac{c}{6} * \frac{81x^{2}}{2} (0,3) = 1$

Substitute 0 and 3 for x

$\frac{c}{6} * \frac{81 * 3^{2} - 81 * 0^{2}}{2} = 1$

$\frac{c}{6} * \frac{81 * 9 - 0}{2} = 1$

$\frac{c}{6} * \frac{729}{2} = 1$

$\frac{729c}{12} = 1$

Multiply both sides by $\frac{12}{729}$

$c = \frac{12}{729}$

$c = 0.0165 (Approximately)$

8 0

3 years ago

G DHS hehhsjshsggdshjsnehejysgwfwgwhahahavavav

pishuonlain [190]

Ummmmm huh? Ok, whatever

5 0

3 years ago

What is the slope of y=5x-6 also, can anyone talk? I made the stitch one rate it plz 1-10

Setler [38]

Slope is 5 y intercept (0,-6

8 0

3 years ago

Can someone plz help me with this one!!!!

luda_lava [24]

Answer:

Yes

Step-by-step explanation:

Plug in the x and y for the x and y coordinates to get

-95 = -1+(-94)

simplify to

-95 = -1-94

solve

-95 = -95

Hope this helps!

3 0

2 years ago

Read 2 more answers