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xxTIMURxx [149]
2 years ago
11

Find the value of x 6.1 - angles of polygons

Mathematics
2 answers:
sammy [17]2 years ago
7 0

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Sauron [17]2 years ago
3 0
Ok done. Thank to me:>

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1. The sum of two numbers is 90. Their difference is 18. Find the numbers. A(40, 22) B(45, 45) C(36, 54) D(27, 63) E (40, 50) F
Genrish500 [490]

Answer:

36 and 54

Step-by-step explanation:

54-36=18

54+36= 90

3 0
3 years ago
The length of a rectangle is 2 units shorter than one-fifth of the width, x.
Nataly [62]

perimeter = 2L+2w

from the problem L = 1/5w-2

so perimeter = 2(1/5w-2) +2w

= 2/5w-4 +2w

=12/5w-4


without seeing your choices it should be similar to this

7 0
3 years ago
Read 2 more answers
The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , wher
dimaraw [331]
The given function is a variable separable differential equation. Combine like terms, integrate, apply the appropriate limits, and express V in terms of t. This is done as follows:

dV/dt = -3(V)^1/2
dV/-3V^1/2 = dt
\int\limits^V_m { \frac{1}{03 \sqrt{V} } } \, dV = \int\limits^t_0 {} \, dt

m here is the initial V which is 225. Then after integrating,

-2/3 (√V - √225) = t
-2/3 (√V - 15) = t

V= \sqrt{ \frac{-3}{2}t+15 }

That is the expression for V at time t. I hope I was able to help. Have a good day.
5 0
3 years ago
Need to show work. <br> y + 12 = 41
AnnyKZ [126]

Answer:

y=29

Step-by-step explanation:

y+12 - 12 = 41 -12

y=29

6 0
3 years ago
Read 2 more answers
Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number
sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable <em>X</em> is:

E(X)=\sum x\cdot P(X=x)

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.

The probability distribution of <em>X</em> is as follows:

Number on spinner:   1           2           3          4           5              6

Amount earned (<em>X</em>):   $1        $4         $7        $10     -$8.75     -$8.75

Probability:                 1/6       1/6         1/6        1/6         1/6           1/6

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x\cdot P(X=x)

         =(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})

         =\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}

         =\frac{1+4+7+10-8.75-8.75}{6}

         =0.75

Thus, the expected value of playing the game is $0.75.

5 0
3 years ago
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