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lilavasa [31]
3 years ago
10

Can someone help me 10 points

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

The two angles form a right triangle which is 90 degrees.

Add the two to equal 90:

3x-8 + 4x = 90

simplify:

7x-8 = 90

Add 8 to both sides:

7x = 98

Divide both sides by 7:

x = 14

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write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please
faust18 [17]

Answer:

y = \frac{1}{5} x - 9

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope = \frac{rise}{run}.  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).

Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

y = \frac{1}{5} x - 9

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

7 0
2 years ago
In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.
elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324

5 0
3 years ago
Iris tenía cierta cantidad de dinero por su cumpleaños su mamá le dio 20 soles después tu papá le dio el triple de lo que ya ten
Alisiya [41]

Resultado:

{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \Rightarrow 20 + 60 + 80 = 160}

\:  \:  \:  \:  \:  \:  \:  \:  \: \sf \Rightarrow20+60+80=160

\:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow160 - 100 = 60}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \Rightarrow160−100=60

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100 - 60 = 40}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: { \sf \Rightarrow100−60=40}

\:  \:  \:  \:  \:  \:  \sf \Rightarrow60 + 40 + 100 = 200

\:  \:  \: \:  \:  \:  \: { \sf  \Rightarrow60+40+100=200}

\bf\green{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Answer :}

Iris al principio tenía 40 soles.

Espero que te sirva, salu2!!!!

3 0
2 years ago
Read 2 more answers
45% of what distance is 135 miles
horrorfan [7]
300 miles. Hope it helps
8 0
3 years ago
Read 2 more answers
What are the two equations that need to be solved to find the solutions for the absolute value equation |x-5|=x-2
Allushta [10]

Answer:

x - 5 = x - 2   and

x - 5 = 2 - x.

Step-by-step explanation:

x - 5 may be positive or negative so we have:

x - 5 = x - 2  

and

x - 5 = - (x  - 2)

x - 5 = 2 - x.

6 0
3 years ago
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