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ra1l [238]
3 years ago
13

HELP ME NOW ANYONE!! Picture included!​

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

62°

Step-by-step explanation:

The 2 shown angles form a straight angle and sum to 180°, that is

7x + 20 + 4x + 6 = 180

11x + 26 = 180 ( subtract 26 from both sides )

11x = 154 ( divide both sides by 11 )

x = 14

the acute angle = 4x + 6 = (4 × 14) + 6 = 56 + 6 = 62°

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Lilit [14]

The <u>correct answer</u> is:


B) Statement 1 and Statement 2 are theorems because they can be proved with the help of appropriate postulates.


Explanation:


<u>Statement 1</u> is the Line Intersection Theorem. To prove this, we use postulates about having only one plane passing through any 3 noncollinear points. We would choose two points from one line and one point from the second; they would be non-collinear points and be in one plane. This also works choosing the points the opposite way.


<u>Statement 2</u> is the Point and Line Contained in Plane Theorem. Again, if two lines intersect, we can choose three points to define a plane. We have to prove that both lines are in the plane. We rely on previously proven postulates to do this.

4 0
3 years ago
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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
mart [117]

Answer:

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

Step-by-step explanation:

The distribution that represents the ocurrence of this events is the Poisson distribution.

The probability of having k events in a ten-minute-period can be expressed as:

P(x=k)=\frac{ \lambda^ke^{-k}}{k!}

being λ the mean number of occurrences in ten minutes.

The probablility that there are 8 occurrences in ten minutes can be calculated as:

P(x=k)=\frac{ \lambda^ke^{-k}}{k!}\\\\P(x=8)=\frac{5.3^8e^{-8}}{8!}=\frac{(622596*0.000335463)}{40320}=0.00518

The probablility that there are 8 occurrences in ten minutes is 0.00518 or 0.5%.

5 0
3 years ago
How do you solve (0.4) to the power of 6<br> (0.4)^6
tamaranim1 [39]
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Romashka-Z-Leto [24]

The secant of circle is SU and RT.

<h3>What is Secant of the Circle?</h3>

A straight line that intersects a circle in two points is called a secant line.

From the given diagram,

The line which intersects the circle at two points or an extended chord is SU and RT.

Hence, secant is SU and RT.

Learn more about secant here:

brainly.com/question/23026602

#SPJ1

7 0
2 years ago
2. ĐỊNH THỨC<br> 2.1. Giải phương trình:<br> 2 3 1<br> 1 2 4 8 0<br> 1 3 9 27<br> 1 4 14 64
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Answer:

Step-by-step explanation:

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