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lesya692 [45]
3 years ago
7

Solve for X, please give a brief run-over on how you got there.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

x = 31.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides and is therefore isosceles.

Thus the 2 base angles are congruent with measure

\frac{180-54}{2} = \frac{126}{2} = 63

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

The triangle on the right is also isosceles with base angles of measure x

63° is an external angle of the triangle on the right, thus

x + x = 63

2x = 63 ( divide both sides by 2 )

x = 31.5

You might be interested in
Last year the backgammon club had 30 members this year the club has 24 members find the percent of decrease of members
olchik [2.2K]

Answer:

Percent Decrease = 20% Decrease

Step-by-step explanation:

To find percentage decrease, we will use a simple formula shown below:

Percentage Decrease/Increase = \frac{New-Old}{Old}*100

Where

New is the latest number of members (which is 24)

Old is the initial number of members (which is 30)

<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.

Now, lets substitute the numbers and figure out the percentage decrease:

\frac{New-Old}{Old}*100\\\frac{24-30}{30}*100\\\frac{-6}{30}*100\\-0.2*100\\-20

So, it comes to -20, which is a decrease of 20%

7 0
3 years ago
What is the value of x in the figure above? ^^
Zielflug [23.3K]
First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165

Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.
7 0
3 years ago
Plz help meeeee plz
Sauron [17]

Answer:

Less than

Step-by-step explanation:

Its less than because the angle of LS is 98 while MS is 95, so LS is longer

3 0
3 years ago
Find the vertex of this parabola.
Levart [38]
The best answer is c
3 0
3 years ago
The sum of 2 numbers is 50. the second number is 5 times the first. what is the number.
sp2606 [1]

Let the first and smaller number be x. Since the second number is 5 times the first, the second number is 5x. We also know both of these numbers must add to 50; thus, we can create the following equation.

x+5x=50

Combine like terms

6x = 50

Divide both sides by 6

x = 50/6 = 25/3 \approx 8.333

This is the value of the first number. The number you're looking for isn't specified in the question description, so I'll just provide the value of the second number. The second number has to be 5 times the first.

Thus, we just multiply 5 to x.

5x = 5(25/3) = 125/3 \approx 41.667

That's the value of the second number.

3 0
3 years ago
Read 2 more answers
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