Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.

To find the area of the rectangle when b = 10, substitute 10 for b in the expression:

8b= 8(10)

    =80

Answer: (0, -28)

Step-by-step explanation:

Turn this equation into slope-intercept form.

y-2=5x-30

y=5x-28.

Because the y-intercept is -28, the point (0,-28) must be on the line.

Hope it helps <3

Answer:

58.43%

Step-by-step explanation:

In this case we have that the probability that they are different is the opposite of the probability that they are the same, therefore, in each case it would be:

P (plain, plain) = (12/20) (11/19)

P (p, p) = 132/380

P (chocolate, chocolate) = (5/20) (4/19) = 20/380

P (ch, ch) = 20/380

P (currant, currant)= (3/20) (2/19) = 6/380

P (c, c) = 6/380

The probability that they are equal is the sum of each:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 0.4157

Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843 = 58.43%

It means that the probability is 58.43%

Answer:111/190

Step-by-step explanation:

hope it will be helpful.......

Answer:

m = -3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

Answer:

10 and 11

Step-by-step explanation:

[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]

The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

Answer:

Between 10 and 11

Step-by-step explanation:

10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.

Answer:

$4.18 dollars per pound

Step-by-step explanation:

We can find the price in dollars per pound by dividing the cost by the number of pounds:

14.63/3.5 = 4.18

This means the price in dollars per pound is $4.18

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

Answer:

10 inches

Step-by-step explanation:

Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?

Hence, L1/L2 = W1/W2

∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches

Answer: d. $2.38

Step-by-step explanation:

Exponential decay function: [tex]Ab^x[/tex], where A = initial value

x= Time mperiod

b = multiplicative decay rate

As per given, we have

A = 38 dollars

b= 0.5

Amount after x years : [tex]38(0.5)^x[/tex]

Then, at x= 4

Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]

[tex]=2.375\approx2.38[/tex]

Hence, the worth of electric can opener after 4 years = $2.38.

So, correct option is d. $2.38

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

Answer:

it is the second option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the price before be x

Then the price after is:

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

it is D just took the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

Read more about data analysis at:

https://brainly.com/question/15380707

#SPJ2

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

Answer:

7 cm

Step-by-step explanation:

The area of a right triangle is given by

A = 1/2 bh

21 = 1/2 y* 6

21 = 3y

Divide each side by 3

21/3 = 3y/3

7 = y

The base is 7 cm

Area formula: A = bh/2

We have a height of 6, a base of y, and a area of 21.

Fill in and solve:

21 = y * 6 / 2

21 = 6y/2

21 = 3y

7 = y

Therefore, the base is 7

Best of Luck!

Answer: 0.0009

Step-by-step explanation:

Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.

i.e. [tex]\mu=3366[/tex]  and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]

Sample size = 1118

Let [tex]\overline{X}[/tex] be the sample mean weight of babies.

Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:

[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]

Hence, the required probability = 0.0009

Answer:

it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket

Answer:

A

Step-by-step explanation:

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

Answer:

$959.69 per oz

Step-by-step explanation:

A gold alloy is produced from pure gold and alloy.

10 oz of pure gold costs $1,288 per ounce

55 oz of alloy costs $900 per ounce

The first step is to add the cost of both the pure gold and alloy together

= (10 oz × $1288)+(55 oz × $900)

= $12,880+$49,500

= $62,380

Therefore the cost per ounce can be calculated as follows

= $62,380/10 oz + 55 oz

= $62,380/65 oz

= $959.69 per oz.

Hence the cost per ounce of the gold alloy is $959.69 per ounce

Answer:  a) 110√2 meters

                b) 2.42 hectares

Step-by-step explanation:

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   [tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

Answer:

y = x/3 + 10

Step-by-step explanation:

Let y be the number of minutes the flight takes

She can take off 10 minutes later than expected. She will be able to travel at  a speed three times than expected.

Let her expected speed be s, therefore, she can travel at 3s.

x = number of minutes the flight was expected to take.

In terms of distance and speed:

x = d / s ______(1)

where d = total distance traveled

The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:

t = d / 3s

From (1):

=> t = x / 3

The time she spent waiting is 10 minutes.

Therefore, the total time that the flight takes (plus waiting time) is:

y = t + 10

=> y = x/3 + 10

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.