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Step-by-step explanation:

Finally complement of the supplement of twice the angle 60°=90°-60°=30

60 degrees angle is an acute angle because it is less than 90 degrees. 60° in radians is π/3 and the measure of each angle of an equilateral triangle is 60°. Therefore, it is also called a 60-degree angle triangle.

Given :

⠀

To Find :

⠀

Solution :

Let's assume the one of the complementary angle as "x" and the other angle as (x - 60)° .

Now,

According to the Question :

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + x {}^{ \circ} - 60 {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = {90}^{ \circ} + 60 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = 150 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x = \dfrac{150 {}^{ \circ}}{2 {}^{ \circ}} }}

[/tex]

[tex]\: \qquad \dashrightarrow \bf{{{x}^{ \circ} = 75 {}^{ \circ} }}

[/tex]

Therefore,

⠀

Henceforth ,

The measure of the two angles are 75° and 15° .

Answer:

$75.60

Step-by-step explanation:

Given:

To Find:

What is the total cost of the fish tank, including sales tax?

Note:

Sales Tax ⇒ Increase ⇒ Add

8% = 0.08

Solve:

$70 × 0.08 = 5.60

$70 + 5.60 = 75.60

Hence, total cost of the fish tank including sales tax is $75.60

~Learn with Lenvy~

Answer:

32

Step-by-step explanation:

to find r you first have to take out the denominator, so multiply 4 to both sides. it will now be 96 = 3r . now to find r divide both sides by 3 and the answer is 32

[tex](-1)[-3-(-5)(7)]+(-3+7)(-2)\\\\=(-1)[-3-(-35)]+(4)(-2)\\\\=(-1)(32)-8=-40[/tex]

Hope it helps!

Answer:

[tex]R = \frac{R1 \: R2}{R2 +R1 } [/tex]

Answer: 32.2

Step-by-step explanation:

The fraction of the shape that is circle is  9/32.

A circle is known to have a kind of round figure that does not have any  corners or edges. They are said to be closed and two-dimensional curved shape. e.g. wall clock, a lollipop. etc.

For better understanding, note that:

The Total Black Shapes  is = 5 : 11 and then you divide by 2 to give

 10 : 22

The ratio for the white shapes is  3 : 7

Then you Sum up the units = 3 + 7 = 10

To Find the equivalent ratio for the total shapes, one has to know:

Black squares = 3 : 8  and then Multiply by 2:

Black circles  is said to be Black squares and their ratio is = 6 : 16

The Sum of the units = 6 + 16 = 22

Then you have to combine the ratios all together:

Therefore White circles : white squares : black circles : black square = 3 : 7 : 6 : 16

The Circles = 3 + 6 = 9 units

Total = 3 + 7 + 6 + 16 =32 units

The fraction of all the shapes that are circles = 9/32

Therefore,  9/32 of the shapes found are circles.

Learn more about shapes from

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Answer:

25.

Step-by-step explanation:

the ratio from even to odd is equal. a half chance of getting even 3:6 & 4:8 [ theres 3 even #s on the cube, 3 odds #s on the cube] vice VERSA!! for either even or odd roll. so out of 50, half of 50 is 25. there's a 1:2 chance of even(or in whatever case) 1:2 = 25:50

Answer:

24 is your answer

Step-by-step explanation:

I first brought one side up as the other went down.

Then found the base and the side and added them all to get

8 as base and 4 multiply both by two then add to get 24

hope this helped.

A brainliest is always appreciated.

Answer:

So you can either buy all roses or all carnations, or spend $30 on each kind:

12 roses

10 carnations

6 roses & 5 carnations

Step-by-step explanation:

If you buy a combination of roses and carnations, the amount of money you spend on each has to be a multiple of both 5 and 6. Since these are relatively prime, their least common is 5(6) = 30.

note: the reason it has to be a common multiple of 5 and 6 is because the total amount - 60 - is a common multiple.

No. You can see this because the length of the box is 21, whilst the length of the wand is 22.

Answer:

Yes, it can fit in.

Using Pythagoras theorem:

Find bottom side, hypotenuse

a² + b² = c²

6² + 21² = (bottom side)²

bottom side = √477

bottom side = 3√53 cm

Then find upper diagonal, hypotenuse

(3√53)² + 5² = diagonal²

diagonal = √502

diagonal = 22.4 cm

Thus the wand can fit in the box diagonally.

Answer:

Step-by-step explanation:

It should be noted:

Area of square garden = L² = 256

Square root both sides of the equation to find the length of the square garden. Then, use the length of the square garden to calculate the length of fence required for 3 sides of the garden.

Square root both sides.

√L² = √256

=> L = 16

Multiply the length by 3.

3L = 16 x 3 = 48 feet

Thus, Mr. Campbell will need 48 feet of fencing.

The mean of the data set in simplest form is: 4/5 yard.

Mean = sum of all values in the data set divided by the number of values in the data set.

Mean of the data set = (1 1/3 + 1/4 + 2/3 + 1/2 + 1 1/4)/5

Convert the mixed fractions to improper fractions

(4/3 + 1/4 + 2/3 + 1/2 + 5/4)/5

[(16 + 3 + 8 + 6 + 15)/12]/5

(48/12)/5

= 4/5

Therefore, the mean of the data set in simplest form is: 4/5 yard.

Learn more about mean of a data set on:

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Answer:

The answer is 4/5 yds hope this helps  :DD

Step-by-step explanation:

Answer for: k12 5.02 Quiz: Mean

Answer:

(Please see attachment)

Step-by-step explanation:

Points on the graph:

(-1.5, 4.5), (3.5, 3.5)

Graph of points (-1.5, 4.5) and (-3.5,3.5) is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given points are minus one point five comma four point five and minus three point five comma three point five.

(-1.5, 4.5) and (-3.5,3.5)

A coordinate plane is a tool used for graphing points, lines, and other objects

To point these points first we have to consider two lines, horizontal line and vertical line.

The horizontal line is called as X axis and vertical line is called as Y axis.

Then we have to pair (-1.5, 4.5) and (-3.5,3.5) with (x, y) coordinates.

Hence the given graph is the required answer.

To learn more on Graphs click:

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#SPJ5

Answer:

1.39

Step-by-step explanation:

83.4/ 60

= 1.39 per horn

Step-by-step explanation:

Angle of four sides of rhombus is 360

125+p=360

p=360-125

p=235

hope this helps you

have a good day.

Answer:

x = 1 and y = -8/3

step-by-step explanation:

solve for x

[tex]\sf 6x+3\left(\frac{4}{3}x-4\right)=-2[/tex]

[tex]\sf 6x+4x-12=-2[/tex]

[tex]\sf \rightarrow 10x = -2 +12[/tex]

[tex]\sf \rightarrow 10x = 10[/tex]

[tex]\sf \rightarrow x = 1[/tex]

solve for y

[tex]\hookrightarrow \sf y = \frac{4}{3} x-4[/tex]

[tex]\hookrightarrow \sf y = \frac{4}{3} (1)-4[/tex]

[tex]\hookrightarrow \sf y=-\frac{8}{3}[/tex]

Answer:

x=1 and y=-8/3

Step-by-step explanation:

The easiest way to solve this is by substitution because the first equation is already in slope-intercept form.

First, take y= 4/3x -4 and substitute it into the second equation as follows: 6x + 3(4/3x -4) = -2

Next, simplify that equation to get 6x + 12/3x -12 = -2.

After that, combine all like values: 10x - 12 = -2.

Finally, add 12 to each side and divide by 10 to get x=1.

To find the y-value, substitute x=1 into either equation and solve for x (I'm choosing the first equation). y= 4/3(1) -4

In order to make simplifying this easier, I find that -4 = -12/3.

Finally, simplify: y= 4/3 - 12/3 = -8/3.

The solution to the system of equations is (1, -8/3), or x=1 and y=-8/3.

Answer:

16+3i

Step-by-step explanation:

(9+ 14¡) + (7 - 11¡)

9+ 14¡ + 7 - 11¡

16 + 3i

Answer:

m= 27

Step-by-step explanation:

m° +66° +m°= 120° (vert. opp. ∠s)

Simplify:

2m° +66°= 120°

2m°= 120° -66°

2m°= 54°

Divide both sides by 2:

m°= 54° ÷2

m°= 27°

m= 27

What are vertically opposite angles?

Answer:

the answer is x=120

Step-by-step explanation:

look at the photo for the mathematical explanation

Answer:

This is a parallelogram.

Step-by-step explanation:

This figure has two pairs of paralel sides with completely different angles.

Answer: P=8(12)

Step-by-step explanation:

A regular polygon has all sides of equal length, meaning a regular octagon has 8 sides of equal length.

Answer:

Width: x - 5

Step-by-step explanation:

x² - 25

x² - 5²

(x - 5)(x + 5)

Step-by-step explanation:

Using the together rate, it is found that it would take them 48 minutes to do the job together.

The together rate is the sum of each separate rate.

In this problem, consdering the measures in minutes:

Hence:

[tex]\frac{1}{x} = \frac{1}{80} + \frac{1}{120}[/tex]

[tex]\frac{1}{x} = \frac{3 + 2}{240}[/tex]

[tex]x = \frac{240}{5}[/tex]

[tex]x = 48[/tex]

It would take them 48 minutes to do the job together.

More can be learned about the together rate at https://brainly.com/question/25159431

V8 ENGINE

Step-by-step explanation: