4. Determine if the two triangles are congruent. If they are, state the triangle congruence statement
D
F
OADEF & AGIH
O ADEF & AGHI
O The triangles are not congruent
OADEF=AIHG
E
H
H
G

Doug borrowed $2 from his friend every day from Monday through Friday. How much money does Doug owe in all?

==============================================================

Explanation:

The notation 5(-2) is the same as saying "5 times negative 2"

The negative represents the amount of debt that Doug goes into when borrowing that $2. When borrowing the same amount over the course of 5 days, he'll be in debt a total of 10 dollars. So we'd write -10 to represent this.

You could also write it out the longer way

-2 + (-2) + (-2) + (-2) + (-2) = -10

There are five copies of "-2" being added up to arrive at -10

Though it's much simpler to say

5(-2) = -10

Step-by-step explanation:

radius (r) = 6

height (h) = 8

total surface area = 2π×r×h + 2πr²

= (2×3.14×6×8) + (2×3.14×6×6)

= (301 44) + (226.08)

= 527.52

Answer:

Identities used:

Square root of it is:

The first part without root:

Its square root is:

The second part without root:

Its square root is:

Sum of the results:

Step-by-step explanation:

Question 1:

Consider the left-hand side

\( \sqrt{ \frac{ 1 - \sin\theta }{1 + \sin\theta} } = \sqrt{ \frac{ 1 - \sin\theta }{1 + \sin\theta} \times \frac{1 - \sin\theta }{1 - \sin\theta } }\)

\( = \sqrt{ \frac{ {(1 - \sin\theta )}^{2} }{(1 - { \sin}^{2}\theta) } } = \frac{1 - \sin\theta }{ \cos\theta} \)

\( = \frac{1}{ \cos\theta} - \frac{ \sin\theta}{\cos\theta } \)

\( = \sec\theta \: - \tan\theta\)

Question 2:

The left-hand side can be rewritten as

\( \sqrt{\frac{1+ \cos \theta}{1- \cos\theta} \times \frac{1+ \cos \theta}{1+ \cos \theta} } \: +\sqrt{\frac{1- \cos\theta}{1+ \cos \theta} \times \frac{1 - \cos \theta}{1 - \cos \theta} }\)

\( = \frac{1 + \cos\theta}{ \sin\theta} + \frac{1 - \cos\theta}{ \sin\theta}\)

\( = \frac{2}{ \sin\theta } = 2 \csc\theta\)

a=4, b=1

The equation of the ellipse is:

The value of x Clare will get as a wrong solution using the wrong diagram would be: x = 32.

She should replace the 2 with x in the diagram she drew, which will give the right solution as: x = 17.

The diagram Clare drew to match the algebraic equation, 2x + 16 = 50, is shown in the diagram attached below.

The diagram is however incorrect. The value of x she will get using the diagram would be:

2 + x + 16 = 50

Add like terms

x + 18 = 50

Subtract 18 from each side

x = 50 - 18

x = 32

To fix the diagram, she should remove 2 and replace it with x. Thus, the new value of x would be:

2x + 16 = 50

2x = 50 - 16

2x = 34

x = 17

In summary, the value of x Clare will get as a wrong solution using the wrong diagram would be: x = 32.

She should replace the 2 with x in the diagram she drew, which will give the right solution as: x = 17.

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Using multiplication, Correct option is (B) 9,447,840, Each week, the number of streams is 90% of the previous week so, streams that will there be in the sixth week are 9.447.840.

We frequently employ multiplication in our daily lives. For instance, we can figure out the appropriate amount of an ingredient to use in cooking, calculate the price of things based on their rate per quantity, determine the value of numerous items when the value of a single item is known, and so on.

This Week's Streams

1st week = 16,000,000 x 90

2nd week =  14,400,000 x 90

3rd week =  12,960,000 x 90

4th week =  11,664,000 x 90

5th week =  10,497,600 x 90

6th week =  9,447,840 x 90

Hence, the response would be 9,447,840.

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Answer:

S = {1, 2, 6, 7, 8}

Step-by-step explanation:

The mode of the data set shown by:

S = {1, 2, 6, 7, 8}

Answer:   $120

Step-by-step explanation:

Formula:

I =  prt

where

I = interest

P =  principal, Initial amount, or what you started with

r =  rate in decimal form

t = years

Given:

P = 600

r= 4% = .04

t=5

Solve for I

I =  600(.04(5)

I = 120

Answer:

43.5 km/h

Step-by-step explanation:

speed= distance

               time

          =   87

               2

           = 43.5km/h

hope it helps

mark me as the brainliest

Answer:

m ∠A = 49°; m∠ B = 131°

Step-by-step explanation:

Supplementary angles sum = 180°

m ∠A + m ∠ D = 180°

(3x + 10)° + (11x - 12)° = 180°

 14x - 2 = 180°

  1 4x = 182

  x = 13°

m ∠A = (3x + 10) = (3· 13 + 10) = (39 + 10) = 49°

m ∠B = (11x - 12) = (11· 13 - 12)  = 143 -12 = 131 °

Check: m ∠ A + m ∠B = 49° + 131° =  180°

Answer:

0.00085

Step-by-step explanation:

here

Answer:

D. The range is greater than 25 and less than or equal to 31.

Step-by-step explanation:

y is range

≤ = less than or equal to

< = less than

The corresponding side in the other Hexagon will be 15.81.

What is Hexagon?

In geometry, a hexagon is a six-sided polygon. Each internal angle and the side length of a regular hexagon are both 120 degrees. The formula used to determine the area of a regular hexagon is:

Area = 3 \(\sqrt{3}\)/2 * \(side^{2}\)

Each internal angle in an irregular hexagon can be greater than or less than 120 degrees, and the sides are uneven in length.

In our question it is given that the ratio of the area of two similar hexagons is 5:2. This indicates that the sides' square ratio is 5: 2.

Let x represent the corresponding side in the opposite hexagon.

Then, \(25^{2}\) : \(x^{2}\) = 5:2

= 625/\(x^{2}\) = 5/2

= \(x^{2}\) = (625 *2)/5

= \(x^{2}\) = 250

= x = \(\sqrt{250}\)

= x = 15.81 approx

Therefore, the corresponding side in the other hexagon will be 15.81.

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Answer:

B- 3 1/3 cups

Step-by-step explanation:

4 servings = 2/3

20 = 4×5

20 servings = 2/3 × 5

=3.33

= 3 1/3

(I'm not 100% sure, this is just what I got! Hope it helps :) )

The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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answer ..........(114,0.16)

Answer:

I dont mind answering but what is the question comment the question and i will solve it for you ;)

Answer:

D. -3r^2 + 11r + 9

Step-by-step explanation:

8r + 4r^2 + 3r + 9 - 7r^2

shift somethings around so it's easier to tell

4r^2 - 7r^2 + 8r + 3r + 9

simplify/add

-3r^2 + 11r + 9

Answer:

452.448in² options D

Step-by-step explanation:

A circular window on a boat has a diameter of 24

inches. Approximately how much wall space does the

window take up?

A 38 in?

B 75 in?

C 113 in?

D452 in?

Given data

D=24 inches

Radius =d/2= 24/2= 12 inches

Area A

A=πr²

Substitute

A=3.142*12²

A=3.142*144

A=452.448in²

Given:

Radius of a circle = 2.1 units

Arc length = 21.2 units

To find:

The central angle in radians to the nearest 10th.

Solution:

We know that the intercepted arc length is

\(s=r\theta\)

Where, s is the arc length, r is the radius and \(\theta\) is the central angle in radians.

Putting the given values, we get

\(21.2=2.1\theta\)

\(\dfrac{21.2}{2.1}=\theta\)

\(10.095238=\theta\)

\(\theta\approx 10.1\)

Therefore, the angle in radians is 10.1.

Step-by-step explanation:

The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3.  Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.

Otherwise, simply do sqrt(5) in a calculator to get 2.23606798

Hope it helps <3

Answer:

I think the answer is srry if I'm wrong but it's 22 or 42

Step-by-step explanation:

ur welcome srry if I got it wrong

Answer: n1 = -6, n2 = 6

Step-by-step explanation:

\(\sqrt[]{n^{2} } =\sqrt{36}\\n=+-6\\n=-6\\n=6\)

Answer:

cashier

Step-by-step explanation:

the discount is $7.50

The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.

It is calculated by using the formula for the volume of a sphere, which is \((4/3)\pi r^3\) , where r is the radius of the sphere.

The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface. The volume of a globe is important in a variety of fields, including mathematics, physics, and geography. It can be used to calculate the amount of material needed to create a globe, or to estimate the amount of water that can be held in a spherical tank. The volume of a globe is the amount of space that is enclosed within the sphere that makes up the globe.  The formula takes into account the fact that a sphere is a three-dimensional object with a curved surface.

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The complete question is :

Please explain Volume of Globe in English language.

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Translate:

Twice a number increased by 2 is at least 10.

     2 · n                               +2           ≥             10

Solve:

   2n + 2 ≥ 10

         2n ≥ 8

           n ≥ 4

As long as you pick a number that's 4 or greater, you'll satisfy that statement.

Answer:

0.0275

Step-by-step explanation: