Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)

A) Determine the exact value of the area of Triangle ABC.

B) Determine the perimeter of Triangle ABC to the nearest tenth.

The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.

Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.

From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.

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Answer:

hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.

2. The corresponding angles have the same measure

3. DE corresponds to IH.

Step-by-step explanation: here's proof :)

have a good day!!

Answer:

  (fg)(x) = x^2 -2x -8

Step-by-step explanation:

(fg)(x) = f(x)·g(x) = (x +2)(x -4)

  = x(x -4) +2(x -4) = x^2 -4x +2x -8

  = x^2 -2x -8 . . . . matches the 3rd choice

Answer:

I'm not sure but I think the answer is >

Step-by-step explanation:

It looks rig but if I were u I wouldn't trust me

i just did the quiz, It's > !

Answer:

I believe it's c.

Step-by-step explanation:

Starts and includes 2, goes until and includes 5.

Answer:

C

Step-by-step explanation:

Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.

Answer:

230.3cm^2

Step-by-step explanation:

surface area: sum of all faces

base: 12 x 2.5 = 30cm^2

back: 84 cm ^2

cross section x 2 = 7 x 2.5 = 17.5

use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4

so, area of slope : 7.4 x 12 = 88.8cm^2

sum of all areas: 114 + 106.3  = 230.3

Answer:

50+2x+y

Step-by-step explanation:

50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented

Answer:

[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

Answer:

Option C.

Step-by-step explanation:

Kurt started for the school at 07:35 and ends at 08:25.

Time taken by Kurt to reach the school

= 08:25 - 07:35

= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]

= 85 minutes - 35 minutes

= 50 minutes

Time taken by Drew to reach the school

= 08:30 - 07:55

= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]

= 90 minutes - 55 minutes

= 35 minutes

Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.

Therefore, Drew is 15 minutes faster than Kurt.

Option C. is the answer.

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

22

Step-by-step explanation:

Im sure because my sister got the same question on a test and she put 22 and got it right

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

An equation is an expression used to show the relationship between two or more variables and numbers.

Given that:

L = 10log(I / I₀)

Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².

For I = 10⁻¹:

L = 10log(10⁻¹ / 10⁻¹²) = 110 dB

The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.

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Answer:

The difference between the bonus is £2.6

Step-by-step explanation:

First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :

[tex] \frac{30}{100} \times 96 = 28.8[/tex]

Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :

[tex]31.4 - 28.8 = 2.6[/tex]

Answer: Brainliess plsssssss

The answer in this question is Alternate interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.

Answer:

4 days

Step-by-step explanation:

there are 8 pints in a gallon

Answer:

4 days.

please see the attached picture for full solution solution.

hope it helps

good luck on your assignment

Answer:

a

Step-by-step explanation:

100n^2 = (10n^2)

-1 = -(1^2)

Answer:

So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

Answer:

The frequency of the class interval  225 – 230 is 4

Step-by-step explanation:

The frequency of the class interval can be seen as how many times that elements within the class interval appeared.

To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).

They include:

225, 227 228, 225

Hence there are 4 elements in this class.

The frequency of the class interval  225 – 230 is 4

Answer:

a balance and a beaker of water

hope it helps mark as brainliest

Answer:

water and beaker, and other science tools

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]

Slope of the base segment,  AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]

[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex]  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.

Answer:

45

Step-by-step explanation:

Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45

Answer:

45°

Step-by-step explanation:

Corresponding angles are equal. ∠4 and ∠2 are equal.

[tex]x+30=2x+15[/tex]

Add -x and -15 on both sides of the equation.

[tex]30-15=2x-x[/tex]

[tex]15=1x[/tex]

∠4 = x+30

Put x as 15 in the equation.

[tex](15)+30[/tex]

[tex]=45[/tex]

Answer:

12

Step-by-step explanation:

12

Answer:

-7/6

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

All of the other numbers are less than -1/3

Answer:

-1/3 is the largest rational number

Step-by-step explanation:

[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]

-1/3 is the largest rational number

Answer: the correct answer is -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.

A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

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Answer:

91+c

Step-by-step explanation:

The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°