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padilas [110]
3 years ago
5

Can segments with lengths of 15, 20, and 36 form a triangle?

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
Ok, so remember

the legnth of the longest side must be LESS THAN the sum of the measures of the other 2 sides
if no longest side (becasue it has 2 longest sides or 3 equal sides), then it can form a triangle




so the longest side is 36

36 must be less than the sum  of 15 and 20
36<15+20
36<35
false

therfor it cannot form a triangle
try it yourself, you cannot connect them that way

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(6y^2-7y-3)-(2y^2-9y-7) simplify
madreJ [45]
6y^2-7y-3-2y^2+9y+7 (pretend that you're multiplying -1 to 2y^2-9y-7 which is why 9y and 7 are positive now).
Now you're able to simplify your problem, so...

6y^2-2y^2= 4y^2
-7y+9y= 2y
-3+7=4

4y^2+2y+4

Might want to check my math but that's how you do it.
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4 years ago
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3 years ago
On each task card, there are four statements. Three are correct and one is INCORRECT. Find the incorrect statement and give the
Mrac [35]

Answer:

Statement 4 is incorrect.

Step-by-step explanation:

#4 is incorrect. This statement is assuming that both 3x+5 and 4x are equal, but the correct way to use them and achieve 180 (definition of supplementary) degrees is by writing it as: 3x+5 + 4x = 180. (I spaced the 3x+5 and 4x to make it clear that these are two angles added together.) With this equation, you will be able to find the x and the substitute it back in to complete the equation.

8 0
3 years ago
suppose that you plan on taking a summer job selling magazines subscriptions . the magazine company will help you pay $0.75 for
alina1380 [7]

<u>Answer:</u>

Money earned by selling 175 magazine subscriptions will be 3176.25

<u>Solution: </u>

Given that you are planning to take a summer job selling magazine subscription.

For first subscription, magazine company will help you to pay $0.75

For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.

So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1

And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2

Generalizing for nth subscription we get

Payments for nth subscription = 0.75 + 0.20(n-1)

so here we can see that arithmetic sequence is formed, having first term

a_1 = 0.75 and common difference = d = 0.20  

We need to determine sum of above arithmetic sequence for n = 175

<u><em>Formula for sum of arithmetic sequence is as follows </em></u>

\mathrm{S}_{\mathrm{n}}=\frac{n}{2}[2 a+(n-1) d]

In our case n = 175, a = 0.75, d = 0.20

\begin{array}{l}{=>\mathrm{S}_{175}=\frac{175}{2}[(2 \times 0.75)+(175-1) 0.20]} \\\\ {=>\mathrm{S}_{175}=\frac{175}{2}[1.5+(174 \times 0.20)]} \\\\ {\Rightarrow \mathrm{S}_{175}=\frac{175}{2} \times 36.3=3176.25}\end{array}

Hence money earn by selling 175 magazine subscriptions will be 3176.25

6 0
3 years ago
Change 5 5/16 into a decimal and show work
Alex Ar [27]

to convert a fraction to a decimal, like say a/b is really simply the quotient of a ÷ b.


now, let's first convert the mixed fraction to improper, and then do the division.


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3 0
3 years ago
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