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hammer [34]
3 years ago
15

Solve for x. The triangles in each pair are similar

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
9x +1= 0
9x/9 +1-1=0
X= 9-1
X= 8
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A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.
VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

A = \frac{\theta}{360} * \pi r^2

This gives

A = \frac{135}{360} * 3.14 *  65^2

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

#SPJ1

4 0
2 years ago
The difference between seven times a number and 9 is equal to five times
Yakvenalex [24]

Answer:

The number is 9.5

Step-by-step explanation:

Look at the picture above, it explains everything

7 0
3 years ago
Pls <br> Help god bless you
True [87]
Jus go a thru z and you’ll be fine
8 0
3 years ago
Read 2 more answers
The histogram below shows information about the number of books students read in a month:
ira [324]

Answer:

Step-by-step explanation:

This information provides the number of students who read a certain range of books. Those ranges are provided 0 to 4 (inclusive) 5 to 9 and 10-14.

Since 9 books or more covers two bins, this cannot be the answer.

The information doesn't offer specific values just ranges, so both the mean and median cannot be determined.

So the answer is C, the number of students who read 4 books or fewer.

7 0
2 years ago
Help me I'll make brainiest
aev [14]
<h3>Answer:  RS = 16</h3>

========================================

Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

  • QR = x
  • RS = 4x
  • ST = 5x

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

-----------

As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

7 0
3 years ago
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