Can someone please help me with the questions in the images. if they are correct i will mark as brainliest

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

6) x=9.75

10) Triangle OMN ~ Triangle ODK; SSS ~

11) SSS ~ theorem

12) SSS ~ theorem

Step-by-step explanation:

For #6, since the polygons are similar, then it must mean AD is congruent to JM and CD is congruent to LM. Now we can set up the proportion 39/20=x/5 and solve. Solving for x gets us x=9.75, so C is the correct choice

For #10, there's no information about angles whatsoever in the diagram, so B and C must be wrong. D must be wrong as well because if the triangles weren't similar, then why is OJ ~ JM and OK ~ KN? So thus, the triangles are similar by SSS.

For #11, this is sort of a no-brainer because there's no mention of angles, so D must be correct.

For #12, same concept, no mention of angles, all sides are similar to their respective sides of the different triangles, so A is correct.

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Please help me with this math problem!! Will give brainliest!! :)

aleksandrvk [35]

Answer:

-3

Step-by-step explanation:

(fg)(-1) is just f(-1) * g(-1). From the graph on the left, we can see that f(-1) is 1, since (-1,1) is on the graph. From the graph on the tight, we can see that g(-1) is -3, since (-1,-3) is on the graph. Now, we just have to multiply 1 and -3: 1*-3 = -3

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1 year ago

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t

LuckyWell [14K]

Answer:

D. $1000 - 100w \geq 500; w \leq 5$

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = $\textrm{Money withdrawn each week}\times w$

Total Money withdrawn in 'w' weeks = $100w$

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = $1000 - 100w$

Now, final amount must be greater than or equal to $500. So,

$\textrm{Final amount}\geq500\\\\1000-100w\geq500$

Therefore, the inequality that represents the inequality for the number of weeks Amy can withdraw money is:

$1000-100w\geq500$

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

$1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5$