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2 years ago

Find the value of x in the figure below

Mathematics

1 answer:

AlexFokin [52]2 years ago

6 0

Answer:

x = 29

Step-by-step explanation:

I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.

Hope it helps and is correct!

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Ages of sylvans daughters are consecutive even integers. The sum of their ages is 60. Write an equation representing and find ag

notka56 [123]

Consecutive even integers are 2 apart
they are
x,x+2,x+4
total sum is 60
x+x+2+x+4=60
3x+6=60
minus 6 both sides
3x=54
divide both sides by 3
x=18
x+2=20
x+4=22

the ages are
18,20,22

3 0

3 years ago

Find the pressure if a force of 750 N acts on an area of 12 cm3

Leto [7]

The answer is P=F/A I had a quiz on these

5 0

2 years ago

student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

= $(\frac{3}{4^4})[1+\frac{1}{16}]$

= $(\frac{3}{256})[\frac{17}{16}]$

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0

3 years ago

the nationalities listed in a recent survey (for example, Asian, European, or Hispanic) 19 A) nominal B) interval C) ordinal D)

Ugo [173]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the slope and y-intercept of line q graphed below?

beks73 [17]

The correct answer is C) 1/3 and (0, 1)

The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.

To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.

m = (y2 - y1)/(x2 - x1)

In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(3 - 0)

m = 1/3

Now knowing the slope, you can match this with answer C.

3 0

2 years ago