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Free_Kalibri [48]
2 years ago
5

50 POINTS!!! The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
tatyana61 [14]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Add all of the angles together. We know that the third one is 90° because it is a right triangle and the little square indicates a 90° angle.

7x + 16 + 39 + 90 = 180


Simply.


7x + 145 = 180

     -145    -145

7x = 35

/7      /7

x = 5


^-^

iren2701 [21]2 years ago
5 0

Solution:

<u>Note that:</u>

  • 7x + 16 + 39 + 90 = 180

<u>Simplify the equation:</u>

  • 7x + 16 + 39 + 90 = 180
  • => 7x + 145 = 180
  • => 7x = 35
  • => x = 35/7 = 5
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A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?
klemol [59]

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

3 0
2 years ago
In the school cafeteria there are 20 seats at each table.
Mrac [35]

Answer:

12.5

Step-by-step explanation:

you can solve this by dividing 250/20=12.5

8 0
2 years ago
the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone
kolbaska11 [484]
<h3> given:</h3>

<u>v = 120 \:  {cm}^{3}</u>

<u>h = 4.5 \: cm</u>

<h3>to find:</h3>

the radius of the cone.

<h3>solution:</h3>

r =  \sqrt{3 \frac{v}{\pi \: h} }

r =  \sqrt{3  \times   \frac{120}{\pi \times 4.5} }

r = 5.04627 \: cm

r = 5.05 \: cm

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>5.05</u><u> </u><u>centimeters</u><u>.</u>

7 0
2 years ago
Find the sum of the following infinite sequence: 8, 2, .5, …
lubasha [3.4K]
Answer:
10.67

Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc

The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......

Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25

We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25

Now, we will get the sum of the sequence as follows:
S = \frac{a1}{1 - r} = \frac{8}{1 - 0.25} = 32/3 = 10.67

Hope this helps :)
3 0
3 years ago
Each of the following statements is true or false. Which statements are true?
vovangra [49]

Answer:

B,D

Step-by-step explanation:

6 0
3 years ago
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