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kifflom [539]
3 years ago
8

Line BD bisects angle ABC. find angle ABC if angle ABD = 5x+16 and angle CBD = 8x-23

Mathematics
1 answer:
Triss [41]3 years ago
6 0

ABC = 162

Step-by-step explanation:

ABD = 5x+16

CBD = 8x-23

ABD = CBD

5x+16 = 8x-23

3x = 39

x= 13

ABC = 5x+16 + 8x-23

=5*13+16+8*13-23

=162

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Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

13.5 m/6 = 2.25 or \frac{9}{4} m per wall

With the area of each wall you can find the base and height:

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

8 0
4 years ago
What are the solutions (intersections) for –2| x– 16| = 6 ?
sergeinik [125]

Answer:

No solutions

Step-by-step explanation:

First, you need to divide both sides of this equation by -2, making the equation |x-16|=-3. At this point you should know there cannot be any solutions to the equation because absolute value cannot be negative.

5 0
4 years ago
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Which of the following is the accurate APA format for writing out the bragger condition main effect result for the willingness o
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Answer:

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Answer:

The probability that at lest one job will be missed in 57 second is=1- e^{-1.71} =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}  for x=0,1,2...

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Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

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=1-\frac{e^{-1.71}(1.71)^0}{0!}

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6 0
4 years ago
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