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3 years ago

∠1 is complementary ∠2 and ∠1=62°. Find m∠2.

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Answer:

Step-by-step explanation:

A complimentary angle means that both angles (together) will equal a right angle (90°)

∠1 + ∠2 = 90°

90 - 62 = 28

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Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th

iVinArrow [24]

Answer:

Her hourly rate is $14.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

$4.5+4.5+4.5=13.5\ hours.$

And, total hours she work on Wednesdays and Thursdays:

$8+8=16\ hours.$

Now, the total hours each week she work:

$13.5+16=29.5\ hours.$

Total money she makes each week = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

$413\div 29.5$

$=\$14.$

Therefore, her hourly rate is $14.

6 0

3 years ago

One-third of the result of three times a number that is increased by 12

SashulF [63]

Answer:

(1/3)(3x+12)

Step-by-step explanation:

1/3

times (3x+12)

3x+12 will be three times the number x + 12

6 0

3 years ago

(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =

Flauer [41]

Answer:

$\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2$

Step-by-step explanation:

Given the expression

$\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)$

Remove parentheses: (a) = a

$=5n^2-4nm-9m^2+7n^2+4nm+8m^2$

Group like terms

$=5n^2+7n^2-4nm+4nm-9m^2+8m^2$

Add similar elements: $5n^2+7n^2=12n^2$

$=12n^2-4nm+4nm-9m^2+8m^2$

Add similar elements: $-4nm+4nm=0$

$=12n^2-9m^2+8m^2$

Add similar elements: $-9m^2+8m^2=-m^2$

$=12n^2-m^2$

Therefore, we conclude that:

$\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2$

5 0

3 years ago

Use the formulas to generate a Pythagorean Triple with x = 5 and y = 2. The three side lengths, from smallest to largest are: a0

stiv31 [10]

Perhaps you mean that for any integers x and y, x > y, xÂ˛ - yÂ˛, 2xy, and xÂ˛ + yÂ˛ form a Pythagorean triple. If GCF(x, y) = 1, the triple is primitive. For x = 5, y = 2, the triple is 21, 20, 29, or from smallest to largest, 20, 21, 29 âś Let's just check 20Â˛ + 21Â˛ = 841= 29Â˛

8 0

3 years ago

Read 2 more answers

There are 8 red, 4 green and 12 yellow balls in a box. If you choose one ball from the box, what is the probability that it will

rusak2 [61]

Answer:

50% percent chance the ball will be yellow

Step-by-step explanation:

Find the amount of all the balls-24 and the amount of yellow balls-12

Then divide the number of yellow balls by the number of total balls.

12÷24=0.5

0.5=50%

8 0

3 years ago