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jonny [76]
3 years ago
12

Examine the diagram at right. The smaller triangle (inside of the larger triangle) is similar to larger triangle. How can you so

lve for x? Now , determine the lengths of m and p . Note that when no units are given on measurements , you may assume that all units are the same .

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0

As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.

In order to solve for x we can set up the proportion between the horizontal and vertical sides:

28\div 11.2 = 27+x \div x

Solving this proportion for x implies x=18

Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

m = \sqrt{18^2+11.2^2} =21.2

Then, we know that the hypothenuse of the big triangle is m+p, so we have

m+p=\sqrt{(18+27)^2+28^2} = 53

which implies

p = 53-p = 53-21.2=31.8

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Determine the product.
Andrei [34K]

The final expression in standard form will be 1.601 * 10^9

<h3>Indices and expoenets</h3>

Given the expression as shown:

800.5 * (2*10^6)

This can be further simplified as:

=  8.005 * 10 ^2 * 2 * 10^6\\= 16.01 * 10^{2+6}\\= 16.01 * 10^8

The final expression in standard form will be 1.601 * 10^9

Learn more on indices here: brainly.com/question/10339517

3 0
3 years ago
Read 2 more answers
Whats the answer to #9 i need help fast!!
vekshin1
I got 784 inches cubed, I cut the figure into two, the first one was 8×4×14=448, the second was 8×3×14=336,
therefore 448+336=784
5 0
3 years ago
Y= 3x+7<br> y = -2x-3<br> What would be the x and y for that solution
alexandr402 [8]

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

<u>x = -2</u>

<u>y = 1</u>

6 0
3 years ago
By how much does 5 exceed -4?<br>(a) 1<br>(b)-1<br>(c) 9<br>(d) -9​
Elden [556K]

Answer:

C

Step-by-step explanation:

-4+9=5

6 0
3 years ago
In a survey of 135 adults, 85 were employed full time and the remainder were employed part time. Of those employed full time, 70
asambeis [7]
Full time yes = 70 no = 15
part time yes = 25 no = 25
5 0
4 years ago
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