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ratelena [41]
2 years ago
14

My math final please help

Mathematics
1 answer:
spin [16.1K]2 years ago
6 0

Answer:

m∠3 = 56

Step-by-step explanation:

Let's solve for x, first:

x + 9 = 3x - 85

9 = 2x - 85

94 = 2x

94/2 = x

47 = x

Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:

=> m∠7 = x + 9

=> m∠7 = 47 + 9

=> m∠7 = 56

Since m∠7 ≅ m∠3

and m∠7 = 56, then

<u>m∠3 = 56</u>

Hope this helps!

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There are 3.2 million teachers in the United States and 5.66 x 107 students. How many times more students than
Marat540 [252]

Answer:

602.42 million

Step-by-step explanation:

I know the answer is 602.42 million because I used addition and subtraction.

First, I knew there was 5.66x 107 million students. So, I multiplied 5.66 and 107, and I got 605.62 million. I knew there were 3.2 million teachers in the US. Next, I subtracted 3.2 million from 605.62 million.

605.62-3.2=602.42

So, there are 602.42 million more students than teachers in the United States.

3 0
3 years ago
1
ZanzabumX [31]

Answer:

To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis

Step-by-step explanation:

Given

f(x) = x^3

h(x) =-(x + 2)^3 - 4

Required

Complete chart

First: f(x) was translated right by 2 units

The rule of right translation is (x,y) \to (x + 2,y)

So, we have:

f'(x) = f(x + 2)

f'(x) = (x + 2)^3

Next: f'(x) was translated up by 4 units

The rule of down translation is (x,y) \to (x,y+4)

So, we have:

f"(x) = f'(x) +4

f"(x) = (x + 2)^3 +4

Lastly, f"(x) was reflected across the x-axis;

The rule of this reflection is: (x,y) \to (x,-y)

So, we have:

h(x) = -f"(x)

h(x) = -[(x+2)^3 + 4]

Remove bracket

h(x) = -(x+2)^3 - 4

8 0
2 years ago
How to change 13/20 to a percent
ASHA 777 [7]

Answer:

65%

Step-by-step explanation:

Since percentages are out of 100, you can write 13/20 as (13*5)/(20*5) = 65/100, which translates to 65%

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Where is the picture
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velikii [3]

Answer:

y-6 = -\frac{1}{2} (x+1)

Step-by-step explanation:

For this case we have two points given (-1,6) and (1,5)

And we want to complete the point slope equation of the line:

y-6 = m(x-x_o)

We need to find the slope and we can use the following formula:

m = \frac{y_2 -y_1}{x_2 -x_1}

And replacing the info we got:

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And then the equation would be given by:

y-6 = -\frac{1}{2} (x- (-1))

And our final answer would be:

y-6 = -\frac{1}{2} (x+1)

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