Triangle FGH has vertices F(-3, 4), G(2, 0), and H(-1, -2). Graph AFGH and its image after a rotation of 180° about (-3, -6).

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The value of the three consecutive integers will be 10, 11, and 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Three consecutive integers are such that three times the smallest is 18 more than the largest.

Let the three consecutive number be x, x + 1, and x + 2. Then the equation will be:

3x = (x + 2) + 18

Simplify the equation, then the value of the variable x will be:

3x = x + 2 + 182x = 20x = 20 / 2x = 10

Then the value of the integers will be:

x + 1 = 10 + 1 = 11x + 2 = 10 + 2 = 12

The value of the three consecutive integers will be 10, 11, and 12

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To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

50 miles because of the miles

Answer:

Step-by-step explanation:

x2-36=0

+36       +36

x2=36

/2     /2

x=18

Answer:

a = 5 cm

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (13)² = a² + (12)²

→ 169 = a² + 144

→ a² = 169 - 144

→ a = √25

→ [ a = 5 cm ]

Hence, value of a is 5 cm.

Answer:

it depends on how long long is

Answer: C

Step-by-step explanation:

All i used was a desmos graphing calculator

Answer:

13

Step-by-step explanation:

416/96 = 4.33333

416 is 4.333 times 96, so he needs 4.333 times 3 bundles.

4.3333 × 3 = 13

Answer: 13

Answer:

13

Step-by-step explanation:

you see how much it covers initially. (96/3=32) then 416/32=13

The larger bulldozer would take about 30 minutes.

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The fraction of the surface of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer

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The fraction of the surface area of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-(13/27)

= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer.

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Answer:

sum= 1080

Step-by-step explanation:

Answer:

The sum of an octagon is always 1080 degrees. The interior angles are usually all equal to 135 degrees, but this is an irregular octagon, making that not the case. Because the angles are not all equal, that does not mean that the octagon's sum is any different. Thus, the sum of the interior angles is 1080 degrees.

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110 additional miles he will have to drive .

To calculate : additional miles qiang will have to drive

Let the additional no. of miles he has to drive be x .

⇒ Total Distance = 15 + x

    Total Time ( in hrs ) = ( 15 / 30 ) + ( x / 55 ) = ( 1 / 2 ) + ( x / 55 )

The equation becomes ,

[ ( 15 + x ) ] / [ ( 1 / 2 ) + ( x / 55 ) ] = 50

On simplification we get ,

15 + x = 25 + ( 10x / 11 )

x = 110

Therefore , 110 additional miles he will have to drive .

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's express P (principle) in terms of I, R and T

[tex]\qquad \sf  \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: PRT = I \sdot 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]

and that's it ~

P can be expressed in terms of I, R, T as P=100×I / (R×T)

Given equation

I=PRT/100

100 × I = PRT

100 × I / RT = P

P = 100 × I / RT

This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.

I hope this answer helps.

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With the help of standard deviation we can conclude our answer.

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Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

We have : (a+b)^2 = a^2 + 2ab + b^2.

So, we can see here : the first term (3x) is a, the second term (a) is b.

For it to be expanded as such, the second term in the bracket must be equal to a^2 when it is squared.

Therefore, the missing term is a.

Recheck : (3x + a)^2 = (3x)^2 + 2.3x.a + a^2 = 9x^2 + 6ax + a^2.

The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².

To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.

The shape formed consist of:

Area of the 2 identical parallelograms:

Base = 15 cm

Height = 11 cm

Area = 2(15 × 11) = 330 cm²

Area of the 2 identical right triangles:

Base = 11 cm

Height = 11 cm

Area = 11 × 11 = 121 cm²

Area of the rectangle = length × width = 18 × 15 = 270 cm²

Total area of the shape = 330 + 121 + 270

Total area of the shape = 721 cm²

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The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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Answer:

57

Step-by-step explanation:

Straight line is 180 degrees

x+2x+9=180

3x=171

x=171/3

x=57

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Answer:

36

Step-by-step explanation:

(3*2)^2

3*2=6

6^2=36

Answer:

36

Step-by-step explanation:

(3x2)^2
6^2

36

Hopes this helps please mark brainliest

Answer:

Y = 2x+8

Step-by-step explanation:

Y=mx=b equations

When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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Answer:

12% of men are left handed.

Step-by-step explanation:

Percent of men who are left handed =

325×100=3×4=12 3 25 × 100 = 3 × 4 = .

                  12%

I hope this helps!

Answer:  The solution to this system is (1,3) as shown in the graph below.

Step-by-step explanation:

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NOTE: The red line is -x+y=2 and the blue line is y=3

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

The identification of the missing angles and their congruency names are;

a. ∠4 and ∠7 = Consecutive interior

b. ∠2 and ∠11 = alternate exterior angles

c. ∠12 and ∠16 = corresponding angles

d. ∠8 and ∠13 = alternate interior angles

e. ∠11 and ∠15 = corresponding angles

f. ∠7 and∠10 = none

g. ∠1 and ∠14 = alternate exterior angles

h. ∠12 and ∠15 = Consecutive interior

i. ∠6 and ∠7 = none

j. ∠1 and ∠3 = corresponding angles

k. ∠12 and ∠16 = corresponding angles

l. ∠6 and ∠15 = alternate exterior angles

m. ∠5 and ∠10 = alternate interior angles

n. ∠8 and ∠14 = corresponding angles

Corresponding angles are defined as the angles which are formed in corresponding corners with the transversal in a case where two parallel lines are intersected by any other line.

Alternate interior angles are defined as the angles formed when a transversal intersects two coplanar lines.

Alternate exterior angles are defined as the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.

Therefore, the angles given can be classified similarly using the image as:

a. <4 and <7 are Consecutive interior angles

b. <2 and <11 are alternate exterior angles

c. <12 and <16 are corresponding angles

d. <8 and <13 are alternate interior angles

e. <11 and <15 are corresponding angles

f. <7 and <10 are none

g. <1 and <14 are alternate exterior angles

h. <12 and <15 are Consecutive interior

i. < 6 and <7 are none

j. <1 and <3 are corresponding angles

k. <12 and <16 are corresponding angles

l. <6 and <15 are alternate exterior angles

m. <5 and <10 are alternate interior angles

n. <8 and <14 are corresponding angles

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Answer:

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Step-by-step explanation:

Answer:
simply just divide!

Step-by-step explanation:

okay, here is one example:

in 3 hours, you went 126 miles

In 4 hours, you went 168 miles

In 5 hours, you went 210 miles

So what is the unit rate of the miles(x) per hour(y).

The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.

Then find the quotient for the other ones.
168 divide 4 = 42

210 divide 5 = 42.

What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)

To find the next number in the sequence you just multiply (x) with the factor.

Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there