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Natali [406]
2 years ago
10

In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m

ore than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 to find the measure of each angle .
Mathematics
1 answer:
madam [21]2 years ago
7 0

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

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MaRussiya [10]
Answer: 54

Why? You need to put 3 in for x so you get
2(3)^3
3 to the third power is 3*3*3 which equals 27
2(27)
Now you must do 2 times 27 and you get 54

Hope this helps
8 0
3 years ago
Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5
zavuch27 [327]
The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).
8 0
3 years ago
The sales price of a single family house in Charlotte is normally distributed with mean $210,000 and standard deviation $35,000.
Lady_Fox [76]

Answer:

E(X ¯)=210,000.

Step-by-step explanation:

A sampling distribution for samples of size n=49 from a population with means μ=210,000 and standard deviation σ=35,000, has the following means anda standard deviation:

\mu_s=\mu=210,000\\\\\sigma_s=\sigma/\sqrt{n}=35,000/\sqrt{49}=35,000/7=5,000

If X ¯ is the mean sales price of the sample, it will have a mean value of E(X ¯)=210,000.

7 0
3 years ago
I need help factoring something
ElenaW [278]

Answer:

x^4

Step-by-step explanation:

Hope this is right ! :)

3 0
2 years ago
Deon plots points to show the time it takes him to swim laps on two days. Is there a proportional relationship between the numbe
Sever21 [200]

Answer:

There's no proportional relationship between number of laps and minutes.

Step-by-step explanation:

The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.

So therefore, the relationship between the x and y cannot be proportional.

We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.

6 0
3 years ago
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