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Lapatulllka [165]
2 years ago
12

X 107 34 What is the measure of Angle X

Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
6 0

Step-by-step explanation:

x + 107 + 34 = 180

x + 141 = 180

x. = 180 - 141

x = 39

the above method can be used if the angles are the interior angles of triangle or for all angles in a straight line .

charle [14.2K]2 years ago
3 0
The angle x =39 I think
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Four more than five times a number is less than 54. evaluate this problem situation for values of the number.
inna [77]
5x+4<54
subtract 4 from both sides
5x<50
divide both sides by 5
x<10

8 0
3 years ago
Read 2 more answers
Suppose a deck of cards contains 13 cards:
ira [324]

Answer:

P(G_1) = \frac{5}{13}

P(G_2) = \frac{1}{3}

P(X \ge 1) = \frac{25}{39}

Step-by-step explanation:

Given

G = 5

R = 4

B = 4

n = 13

Solving (a): P(G_1)

This is calculated as:

P(G_1) = \frac{G}{n}

P(G_1) = \frac{5}{13}

Solving (b): P(G_2)

This is calculated as:

P(G_2) = \frac{G - 1}{n - 1} -- this is so because the selection is without replacement

P(G_2) = \frac{5 - 1}{13 - 1}

P(G_2) = \frac{4}{12}

P(G_2) = \frac{1}{3}

Solving (c): P(X \ge 1)

Using the complement rule, we have:

P(X \ge 1) = 1 - P(X = 0)

To calculate P(X = 0), we have:

G = 5 --- Green

G' = 8 ---- Not green

The probability that both selections are not green is:

P(X = 0) = P(G'_1) * P(G'_2)

So, we have:

P(X = 0) = \frac{G'}{n} * \frac{G'-1}{n-1}

P(X = 0) = \frac{8}{13} * \frac{8-1}{13-1}

P(X = 0) = \frac{8}{13} * \frac{7}{12}

Simplify

P(X = 0) = \frac{2}{13} * \frac{7}{3}

P(X = 0) = \frac{14}{39}

Recall that:

P(X \ge 1) = 1 - P(X = 0)

P(X \ge 1) = 1 - \frac{14}{39}

Take LCM

P(X \ge 1) = \frac{39 -14}{39}

P(X \ge 1) = \frac{25}{39}

7 0
2 years ago
Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0
3 years ago
Read 2 more answers
An investment had return of 13% if inflation was 4.1% what was your real return ?
e-lub [12.9K]

Answer: 8.9%

Step-by-step explanation: 13 - 4.1

8 0
2 years ago
4) solve it a) 3x-2÷5=2 ​
VMariaS [17]

Answer:

\frac{(3x - 2)}{5}  = 2 \\ 3x - 2 = 10 \\ 3x = 2 + 10 \\ 3x = 12 \\ x =  \frac{12}{3}  \\  \boxed{x = 4}

  • <u>x=4</u> is the right answer.
3 0
3 years ago
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