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grigory [225]
2 years ago
6

Step by step please !

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.

For example, in number 1, you can do

m<1 = 180 - 94 - 45

For the 2nd one, the tick marks show that the highlighted angles measure the same.

So, it would be (180-58)/2 = m<1

Finally, for the third one, there is a right angle, meaning that it measures 90 degrees

Therefore, 180-90-77 = m<1

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What is the mean of Variable A? Express answer to one decimal place. Scatter plot on a first quadrant coordinate grid. The horiz
ivanzaharov [21]
Variable A is x. Variable B is y. (x,y)

2 , 2, 4, 5, 6, 7, 8, 9

Mean is computed by adding all the numbers in the data set and dividing it by its count.

2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43

43 / 8 = 5.375 rounded to 5.4
4 0
3 years ago
Y=-3x^2-6x+24
Lera25 [3.4K]
The x-intercept is the point at which the function intersects the x-axis.
For any point on the x-axis, y = 0. Thus we can plug in 0 for y and solve for x.

y=-3x^2-6x+24 \\ 0=-3x^2-6x+24

Let's split the middle on this quadratic.
To do this we need to find two numbers that add to equal -6 and multiply to equal -72. (-3 times 24)
Consider ways to multiply to get 72.
72 = 36 ×2...that's not going to work.
72 = 24 × 3
72 = 18 × 4
72 = 12 × 6...and 12 minus 6 is 6!
Let's add our signs; our numbers are -12 and 6.
Now, split the middle and factor.

0=-3x^2-12x+6x+24\\0=-3x(x+4)+6(x+4)\\0=(-3x+6)(x+4)

Now you should know that anything multiplied by zero is zero.
So any value that makes one of those factors equal zero is an x-intercept.
Solve each of these equations.

-3x+6 = 0
-3x = -6
x = 2

x+4 = 0
x = -4

Oh, and since all parabolas (graphs of quadratics) are symmetrical, our axis of symmetry will be the average between the two, which is x=-1.

Now for our y-intercepts. For any points on the y-axis, x=0, so if we plug in 0 for x and solve for y we'll get our y-intercept.

y = -3×0² - 6×0 + 24
y = 0 - 0 + 24
y = 24

What about our vertex? Well, we know it's going to line up with the axis of symmetry, so let's just plug in -1 for x.

y = -3×-1² - 6×-1 + 24
y = -3×1 -6×-1 + 24
y = -3 + 6 + 24
y = 27

Thus the vertex is (-1, 27)

The y value is not going to exceed 27, as this is a decreasing quadratic, (we already know y=24 is a possibilty) and this equation goes downwards infinitely, so our range is (-∞, 27)

As for x, well, it's sort of the input for our equation, meaning it can be whatever we want it to be. Thus the domain is (-∞, ∞)




3 0
3 years ago
Which expression is equivalent to 19x − 6x + 2 and why?
Sonbull [250]
<span>2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x</span>
7 0
3 years ago
Read 2 more answers
600+15y=750.<br> solve for y<br> can I as well have the way you solved for y?
Pie
1.)subtract 600 from 750 in order to simplify
2.)divide by 15 on both sides to get y alone. Doing this cancels the 15 on the y and makes the right side equal 10
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4 0
3 years ago
Read 2 more answers
A book with 650 pages has 3 pages with diagrams.
Mrac [35]

The pages that have diagrams is an illustration of proportions

0.46% pages have diagrams

<h3>How to determine the percentage</h3>

The given parameters are:

Total = 650 pages

Diagrams = 3 pages

The percentage of page that has diagram is then calculated as:

Diagram\% = \frac{Diagrams}{Total} * 100\%

So, we have:

Diagram\% = \frac{3}{650} * 100\%

Evaluate the product

Diagram\% = \frac{300}{650} \%

Divide

Diagram\% = 0.46 \%

Hence, 0.46% pages have diagrams

Read more about proportions at:

brainly.com/question/1781657

3 0
2 years ago
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