in this diagram, AB and CD are Parallel. Angle ABC measure 35 and Angle BAC measure 115, what is the angle of ACE.

Answer:

Mean = 81°F.

S. dev. = 5°F.

Step-by-step explanation:

When we have a set of data:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

M = (x₁ + x₂ ... + xₙ)/N

Where N is the number of data points that we have:

in this case the set is:

{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }

So N = 8.

Then the mean is:

M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8

M = 81°F.

Now, the standard deviation can be calculated as.

Sd =  √ ( (1/N)*∑(xₐ - M)^2)

where the summation is over xₐ, which represents a summation over all the points in the data set.

Then we can write the standard deviation as:

Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)

Sd = 4.58°F.

That we should round up to 5°F (because our mean has no digits after the decimal point)

Answer:

x=20

Step-by-step explanation:

45+4x=6x+5

45=2x+5

40=2x

20=x

x=20

Answer:

x = 20

Step-by-step explanation:

45 + 4x = 6x + 5

45 - 5 =6x - 4x

40 = 2x

x = 40/2

x = 20

Check:

45 + 4*20 = 6*20 + 5

45 + 80 = 120 + 5 = 125

Answer:

in 3/4 year tree had grown 2/3

in 1 year tree had grown (2/3)/0.75 =8/9 feet

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6x + 30 + 4x = 10(x+3)

10x + 30 = 10x + 30

0 = 0

Answer:

P can be located anywhere below the x-axis but not directly on the y-axis

Step-by-step explanation:

To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).

Answer:

10 times the value

Step-by-step explanation:

The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).

I figured this out by dividing 800 by 80 = 10.

Answer:

32r2, 128 cm ^2

The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

A square is a parallelogram, whose all sides are congruent and all angles are right angle.

Given that,  a square with diagonal length 16 cm

Let the side of the square be a,

We know that, all sides of a square are congruent,

And, the diagonal divides it into two congruent right triangles,

Therefore, using Pythagoras theorem,

a²+a² = 16²

2a² = 256

a² = 128

a = 8√2

Area = side²

Therefore, area = 128 cm²

perimeter = 4×sides = 32√2 cm

Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

For more references on squares, click;

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Answer:

0.23

Step-by-step explanation:

Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!

Answer: -1

Step-by-step explanation:

To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]

Now, we know that the slope is -1.

Steps to solve:

3 + 9 * 7 - 8 / 2

~Multiply

3 + 63 - 8 / 2

~Divide

3 + 63 - 4

~Add

66 - 4

~Subtract

62

Best of Luck!

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1, so the answer is 1.

Greetings from Brasil....

Let's solve this 2nd degree equation.

6b² + 8b - 10 = 0       dividing all terms by 2

3b² + 4b - 5 = 0         applying the baskara formula

Δ = 4² - 4 · 3 · (- 5)

Δ = 76

b = (- 4 ± √76)/6      so

Answer:

I believe the answer is B 0.6

I hope this helps :)

Answer:

0.6

Step-by-step explanation: Since its  6, the probability should be 0.6

Answer:

the scale factor is 17ft : 1ft

for every 17 feet on the original, there is 1 foot on the model.

Answer:

Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem

Step-by-step explanation:

Answer:The answer is C :exactly 18% of the students chose blue as their favorite color.

Answer:

3 degrees

Step-by-step explanation:

Answer:

3 more then the original number

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

m=[-4-(-4)]÷[15-6]=0

Answer:

[tex](x,y)\rightarrow(x-1,y+2)[/tex]

Step-by-step explanation:

One unit left would be subtracting 1 from the pre-image's x-value.

Two units up would be adding 2 to the pre-image's y-value.

The translation rule would be:

[tex](x-1,y+2)[/tex]

Hope this helps.

The coordinates after the translation of 1 unit left and 2 units up will be (x-1,y+2).

It is described as the alteration of the geometric body's form and coordinates. It is also known as a two-dimensional transformation. Rotation, translation, reflection, and gliding translation are just a few of the geometric transformations that may affect geometry.

It is given that the coordinates of the points are (x,y)

We have to find the coordinates after the translation of 1 unit left and 2 units up.

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

The final unit would be to deduct 1 from the x-value of the pre-image. The pre-y-value images would be increased by 2 by moving two units higher.

Thus, the obtained coordinates will be (x-1,y+2).

The question is incomplete.

The complete question is" if the coordinates of the points are (x,y). What will be the coordinates after the translation of 1 unit left and 2 units up?

Learn more about the geometric transformation here:

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Answer:

1. 3/5

2. 9/20

3. 1/5

4. 9/10

Step-by-step explanation:

Answer:

  24 cm

Step-by-step explanation:

Since the triangles are similar, their dimensions are proportional. The base DC is half the base AE, so we know the ratio of triangle heights is 1 : 2.

Then the bottom height (h) ratio to the overall height is ...

  h : 36 = 2 : (1+2) = 2 : 3 = 24 : 36

The height h is 24 cm.

Answer:

.

Step-by-step explanation:

Area of the triangle = 1/2 × the height × base length

Area = 1/2 × 5 × (8 + 8)

= 1/2 × 5 × 16

= 40 cm²

Answer:

<

Step-by-step explanation:

Answer:

(x - 2)(7x - 4)=0

Step-by-step explanation:

[tex]7 {x}^{2} + 8 = 18x \\ 7 {x}^{2} - 18x + 8 = 0 \\ 7 {x}^{2} - 14x - 4x + 8 = 0 \\ 7x(x - 2) - 4(x - 2) = 0 \\ (x - 2)(7x - 4) = 0[/tex]

Answer:

7:12

Step-by-step explanation:

I hope it helps. Hope its correct

Answer:

[tex]a(n) = 1 \times {3}^{n - 1} [/tex]

Step-by-step explanation:

[tex]a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1} [/tex]

Answer:

D

Step-by-step explanation:

Answer:

3) x=7

4) x=6

5) x=8

6) x=4

AB=24

Step-by-step explanation:

3) 3x+4x=49

7x=49

x=49÷7

x=7

4) (8x-14)+(4x+1)=59

12x-13=59

12x=59+13

12x=72

x=6

5) 6x-7=5x+1

6x-5x=1+7

x=8

6) 6x+2x+1=33

8x=33-1

8x=32

x=4

AB=6x=6(4)=24