The polygons in each pair are similar. find the missing side length

Mathematics

1 answer:

pochemuha3 years ago

6 0

If both are similar ratio of sides will be same

$\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35$

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PLS HELP ASAP WILL GIVE BRAINLIEST AND 100 POINTS

konstantin123 [22]

<h2><u>Part A</u>: He started with 4 miles. </h2>

<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2

<h2>
<u>Part B</u>: The equation is 51.664 = (x(1.2⁷)-1)/0.2</h2>

<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.

We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2

So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.

Our bottom half is 1.2 - 1 which equals 0.2

<h2><u>Part C</u> : 103.83 miles</h2>

<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.

Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.

5 0

3 years ago

PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?

IgorLugansk [536]

You can use the discriminant rule, which is :
b^2 -4ac
“exactly one solution” means that it is equal to zero
so:
b^2 -4(4)(9)=0
b^2 -4(36)=0
b^2 -144=0
b^2=144
square root both sides
b=12 or -12

hope this helps !

3 0

3 years ago

Read 2 more answers

12 times a number decreased by 5 is no more than 55

lions [1.4K]

Answer:

12n -5 ≤ 55

Step-by-step explanation:

12 times a number (represented by n) is 12n.

"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.

"Is no more than 55" means "is less than or equal to 55".

Then the expression written using math symbols is ...