Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

The required triangle is possible, the value of the tangent of ∠I is 1.33.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.

In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.

Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:

HI² = HJ² + IJ²

5² = 4² + 3²

25 = 16 + 9

tan(∠I) = opposite/adjacent = HJ/ JI = 4/3

Rounding to the nearest hundredth, we get:

tan(∠I) ≈ 1.33

Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.

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Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Answer:

a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180

Answer:

2/5

hope it helps

Thank you

Answer:

x=50

Step-by-step explanation:

corresponding angles

Answer:

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

                                             = 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

            5x + 65 = 600

                   5x = 600 - 65

                   5x = 535

                     x = 535/5

x = 107

Distance Mary walked = 107 m

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Answer:

Option C

only there is p > -3

p < 6

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96

Answer:

C. 49

Step-by-step explanation:

Start by filling in your values.

[tex]7^{2} + 99 / 11 - 9[/tex]

Solve using PEMDAS.

49 + 99 / 11 - 9

49 + 9 - 9

58 - 9

49

Answer:

[tex]c .\: \: 49[/tex]

Step-by-step explanation:

[tex] {y}^{2} + 99 \div x - 9[/tex]

[tex] {7}^{2} + 99 \div 11 - 9[/tex]

[tex] 49 +99÷11-9[/tex]

[tex]49+9-9[/tex]

[tex]58-9[/tex]

[tex]49[/tex]

Answer:

6y^3 + 17y^2 +22y + 15

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

Answer:

5/12 hour or 25 minutes

Step-by-step explanation:

The formula is

distance = rate * time

changing minutes to hours (50 * 1 /60 ) = 5/6 hours

distance = 20 mph * 5/6 hours

distance = 50/3 miles

We need to go the same distance at 40 mph

50/3 = 40 mph * time

Multiply each side by 1/40

50 /3 * 1/40 = 40 * 1/40 *t

50/3 *1/40 =t

5/12  of an hour

Changing back to minutes

5/12 * 60 =25

The distance travelled by the Lucas will be equal to 105 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

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Answer:

Take an even number of random samples from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100 spinach plants

Step-by-step explanation:

Given that the total number of spinach plants in the farm = 10,000

To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.

After determining these Take an even number of random sample from the 10000 spinach plants

lets assume you take ; 100 random samples  each sample will contain = 10,000 / 100 = 100

Answer:

A = 108 ft²

Step-by-step explanation:

the length of the smaller rectangle must be 9 (27÷3)

therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18

18 x 6 = 108

Answer:

SA=376.9911184cm^2

Step-by-step explanation:

SA=2πrh+2πr^2

376.9911184cm^2=(2*π*5*7)+(2*π*5^2)

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

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Answer:

AB=12

ED=6

Step-by-step explanation:

AB=CD=12

BC=AD=26

ED=26-20=6

Answer:

17.804

Step-by-step explanation:

Pythagorean theorem. 14^2 + 11^2 = c^2

Answer:

ΔABC

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

ΔXYZ

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

ΔNOR

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;

In triangle ΔABC, we have;

∠9 = ∠19 + ∠21

∠7 = ∠20 + ∠21

∠8 = ∠19 + ∠20

In triangle ΔXYZ, we have;

∠3 = ∠11 + ∠12

∠5 = ∠10 + ∠12

∠4 = ∠10 + ∠11

In triangle ΔNOR, we have;

∠1 = ∠5 + ∠6

∠2 = ∠ 4 + ∠5

∠3 = ∠4 + ∠6

Answer:

Mastong by skoger넞호오ㅗ노아ㅗ너너엉

Answer:

The second one is 3 and the third one is 8

Step-by-step explanation:

Just trust me

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Answer:

32

Step-by-step explanation:

m-án=16, when n = 8

Step-by-step explanation:

Hey there!

Let "x°" be the first angle.

According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }

Also, we know that complementary angles sum is 90°.

Then;

x° + 2x° + 15° = 90°

3x ° = 90°-15°

3x = 75°

x = 75°/3

Therefore, the angles are 25° and 65°.

Hope it helps!