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Sindrei [870]
3 years ago
5

If a°, 30° and 2a° are the angle of triangle find a°​

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

a=50

Step-by-step explanation:

a + 2a + 30 = 180

3a + 30 = 180

(-150 from both sides)

3a = 150

(Divide by 3 from both sides)

a = 50

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the initial cost to set up a website is $48. it cost $44 per month to maintain the website . how many months will you be able to
Delicious77 [7]

We would start with 400 - 48, to cover the initial cost. We would be left with 352 dollars to spare for the monthly bill. 352 divided by 44, which is the monthly cost, would be 8. The website could be set up and held for 8 or 9 months, depending on if the initial cost is paid at the same time or before the first monthly one.

8 0
3 years ago
Read 2 more answers
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
Determine the range of the graph
VashaNatasha [74]

Answer:

is 20

Step-by-step explanation:

hope this helps

8 0
3 years ago
What is a basic ratio for 5:15
enot [183]
5:15
Divide both sides by 5 to get it down to the lowest bases.
1:3
3 0
3 years ago
The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths
VikaD [51]

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

6 0
3 years ago
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