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2 years ago

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.

Mathematics

1 answer:

Flura [38]2 years ago

4 0

Complementary angles have a submission of 90 degrees thus :

$angle \: \: A + angle \: \: B = 90°$

$(4x - 28)° + (4x - 8)° = 90°$

$4x + 4x - 28 - 8 = 90$

Collect like terms

$8x - 36 = 90$

Add both sides 36

$8x - 36 + 36 = 90 + 36$

$8x = 126$

Divide both sides by 8

$\frac{8x}{8} = \frac{126}{8} \\$

$x = 15.75$

_____________________________________________

Now let's find the measure of A :

$A = 4x - 28$

$A = 4 \times (15.75) - 28$

$A = 63 - 28$

$A = 35°$

And we're done...

Don't have a good day , Have a great day ♡

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A store manager orders T-shirts that 15 out of every 35 or medium. How many medium T-shirts would you expect to find when there

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3 years ago

Find the tenth term of the geometric sequence, given the first term and common ratio.

Natalija [7]

Answer:

$a_{10}=\dfrac{1}{128}$

Step-by-step explanation:

In the geometric series:

$a_1=4\\ \\r=\dfrac{1}{2}$

The nth term of the geometric sequence can be calculated using formula

$a_n=a_1\cdot r^{n-1}$

In your case, n = 10, then

$a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}$

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3 years ago

What’s the answer?and how do you get it

Kay [80]

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312$

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3 years ago

Find the 58"" term of the following arithmetic sequence,<br> 18, 23, 28, 33,

Anna11 [10]

Answer:

303

Step-by-step explanation:

So the equation to find a term is An=a1+(n-1)d

An represents the value of the number (n)

and n is the selective that you want

d is the difference between the first and second term which is 23-18=5, and you can see that adding 5 to the previous term gives the following term.

a1 is the first term in the sequence

so knowing all that now you can go back and inset all variables into the equation

An=18+(58-1)5

An=303

Hope that helps :)

Please give brainliest

6 0

3 years ago

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.