what is the answer to this problem ( 1/5)² (3+2+5²)

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

Read more about rectangles at:

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Answer:

Step-by-step explanation:

for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16

for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."

for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2

Answer:

3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.

Step-by-step explanation:

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

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[tex]61 + (6x - 31) = 90[/tex]

Subtract both sides 61

[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]

[tex]6x - 31 = 29[/tex]

Add both sides 31

[tex]6x - 31 + 31 = 29 + 31[/tex]

[tex]6x = 60[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]

[tex]x = 10[/tex]

____________________________________________

Have a great day ♡

Answer:

x = 10

Step-by-step explanation:

It's a 90˚ angle so subtract 61 from 90, which is 29.

Then add 31 to that 29, which would come out to 60.

60 divided by 6 to isolate the variable would come to 10.

Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.

Answer:

-16-7y/3

Step-by-step explanation:

-3x+7y=-16

Subtract 7y from both sides

-3x=-16-7y

Divide both sides by -3

x=-16-7y/3

Answer:

20 ft

Step-by-step explanation:

It is 20 ft because you use pathagoren therom.

a^2 + b^2 = c^2

Answer:

The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.

Area of rectangle: 8 x 7 = 56ft^2

Area of the triangle: (6 x 2)/2 = 6ft^2

Subtract 6ft^2 from 56ft^2 and you get:

56 - 6 = 50ft^2

Area of shaded region is 50ft^2

Answer:

Below in bold.

Step-by-step explanation:

a) the curve moves up 5 units, so

the vertex is (2, -3 + 5)

= (2, 2).

b) - f(x) is the image of f(x) in the x-axis so

The vertex is at (2, 3).

Answer: 15

Step-by-step explanation:

9 x h = 135

9 x 15 = 135

Answer:

y=1/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-3)/(2-0)

m=1/2

y-y1=m(x-x1)

y-3=1/2(x-0)

y=1/2(x)+3

y=1/2x+3

x+y=0

Step-by-step explanation:

x= 1.75

y= -1.75

Answer:

slope = 0.8

Step-by-step explanation:

HOPE THIS HELPS :)

-4.8x=-4

The simplified fraction is 5/6

How I solved it:

-4.8 = -24/5 in fraction form.

-24/5 × 5/6 = -120/30

-120/30= -4

Answer:

-4

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

Amount paid= material fee + ($8)(number of hours worked)

Let the number of hours the plumber worked be t.

$107= $27 +$8t

107 -27= 8t

80= 8t

8t= 80

Divide both sides by 8:

t= 80 ÷8

t= 10

Thus, the plumber worked for 10 hours.

Answer:

x = 0 and y = 1                 Solution: (0, 1)      

Step-by-step explanation:

13x +  y = 1       multiply by -6  ⇔      -78x  - 6y = -6

2x + 6y = 6     do not change  ⇔    +  2x + 6y =   6    

                                                           -76x  = 0

                                                                  x = 0

Use the second equation to solve for y if x = 0

2x + 6y =  6

2(0) + 6y = 6

 0 + 6y = 6

     6y = 6

       y = 1       Solution (0,1)

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

Answer:

Brainless please?

Step-by-step explanation:

1/3x +7=26

Answer:

113 degrees

Step-by-step explanation:

2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113

Answer:

16 m

Step-by-step explanation:

12² + b² = 20²

I hope this helps!

Answer:

b = 16 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

b² + 12² = 20²

b² + 144 = 400 ( subtract 144 from both sides )

b² = 256 ( take square root of both sides )

b = [tex]\sqrt{256}[/tex] = 16 m

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

Answer:

its d

2.52x

3.40

____

0.00+

1.080+

7.5600

______.

8.658

Answer:

D. 8.568

Step-by-step explanation:

A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.

So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....

Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D

Answer: you give us that picture, but what are the instructions?

Step-by-step explanation:

Answer:

oh you have to draw for this assignment.. sad

Step-by-step explanation:

Answer:

30 degree

Step-by-step explanation:

sum of the interior angles of a hexagon=720degree

one angle of the hexagon=720/6=120degree

one angle of the rhombus=90 degree

therefore, x=120-90=30

Answer:

i can't see your handwriting

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

The values of x and y are 50 and 35 respectively.

The corresponding angles of similar triangles are equal. Therefore,

The first patio angles are:

x + 10

y + 15

70°

The second patio angles are ;

x + 20

50°

60°

Therefore,

x + 20 = 70

x = 70 - 20

x = 50

y + 15 = 50

y = 50 - 15

y = 35

Answer:

3.125

Step-by-step explanation:

We know that

258

is the same as

25÷8

Then using

Long Division for 25 divided by 8

and rounding to a Max of 3 Decimal Places gives us

=3.125