The martins car traveled 468 miles on 18 gallons of gas. Their car averaged how many miles per gallon.

Step-by-step explanation:

After the translation, rotation and reflection position of the image may differ but the side lengths, angle, orientation remains the same, so that the congruence is maintained, but in dilation the size of the image may get enlarged or reduced, so that congruence is not there.

Parallelograms are congruent when

Reflect across the y- axis and then translate 1 unit left.

Reflect across the y- axis then rotate 45° counterclockwise.

Translate 4 units up then rotate 180° counterclockwise

Parallelograms are non-congruent when

Translate 5 units right then dilate by a factor of 2

Rotate 90° clockwise then dilate by a factor of 6

Dilate by a factor of 3 then reflect across the x- axis

Answer:   x ≤ 3

Step-by-step explanation:

4x ≤ 12

divide each side by 4

x≤3

Length of the rectangle is 8m and width is 6m

Step-by-step explanation:

48 = x (x - 2)

48 = x² - 2x

x² - 2x - 48 = 0

x² - 8x + 6x - 48 = 0

x(x - 8) + 6(x - 8) = 0

(x + 6)(x - 8) = 0

x = -6, 8 (neglecting the negative value)

∴ Length of the rectangle = 8m

∴ Width of the rectangle = 8 - 2 = 6m

Answer:

25x + 70

Step-by-step explanation:

Step 1:  Distribute

7 (5x +  10) - 10x

7*5x + 7*10 - 10x

35x + 70 - 10x

25x + 70

Answer:  25x + 70

Answer:

x= 12

Step-by-step explanation:

Please see attached picture for full solution.

Answer: 25

Step-by-step explanation:

3² + 4 ² = ?

(3x3) + (4x4) = ?

9 + 16 = 25

Answer:

  25

Step-by-step explanation:

3² +4² = 9 +16 = 25

_____

Your calculator can help you figure this.

_____

25 = 5², which means that the lengths 3, 4, and 5 could be the sides of a right triangle. They are the smallest integer solution to the equation ...

  a² +b² = c²

Answer:

6,440.5

Step-by-step explanation:

So the car starts at 16,200. For the first part of the equation it's 16,200 × x raised to the y. X in this equation would be 1-.1425 = 0.8575. 16,200×(.8575)^y. Y is the number of years after you purchased the car. So, 16,200×(.8575)^6 and that equals 6,440.5

Answer:

$6440.5

Step-by-step explanation:

I hope this helps!

Option D:

x = 8

Solution:

Given data:

m∠FGH = 148° , m∠FGL = (x + 12)°  and m∠LGH = (16x)°

To find the value of x:

m∠FGL + m∠LGH = m∠FGH

⇒ (x + 12)°  + (16x)° = 148°

⇒ x° + 12°  + 16x° = 148°

⇒ 17x° + 12° = 148°

Subtract 12° from both sides of the equation.

⇒ 17x° = 136°

Divide by 17 on both sides, we get

⇒ x° = 8°

⇒ x = 8

Option D is the correct answer.

Answer:D

Step-by-step explanation:I did it on usatestprep trust me.

Answer: THIRD OPTION.

Step-by-step explanation:

For this case it is important to know that  by definition, there are three possible cases for the solution of a System of equations. These are shown below:

 1. If the lines intersect each other, then the System of equations has ONE SOLUTION.

2. If the lines are parallel, then the System of equations has NO SOLUTION.

3. If the two equations are the same line, then the System of equations has INFINITELY MANY SOLUTIONS.

Observe the graphs attached in the exercise.

You can notice in the third graph that the "line a" and the "line b" are exactly the same line.

Therefore, based on the explained before, you can conclude that the third graph given in the exercise contains a System of equations with Infinitely many solutions.

Answer:

Choice 3

Step-by-step explanation:

First of all, I got 100% on EDGE. Secondly, to lines that coincide and go in the same direction have infinitely many solutions. Finally, it is correct on EDGE 2020

Answer:

False

Step-by-step explanation:

if it was counter clockwise it be in the 2 and 3 quadrants

Answer:

since PQ ||BC,

Angle A is common for both triangles angle P = angle B

triangles ABC, APQ are similar,then their corresponding sides are in proportion

AP/PB =AQ/QC

4/8=x/16

x=8

Do you know basic proportionality theorem ? You can solve the problem easily by this.

In short: BPT is if a line is parallel to a side of the triangle which intersects the other sides imto two distinct points, then the line divides those sides in proportion.

In your problem, it's given that the mutual lines are parallel (PQ || BC), so it makes it divide |AP| with |AB| and |AQ| with |AC| proportionally.

|AP| / |AB| = |AQ| / |QC|

4/12 = x/16+x

4(16+x) = 12x

x=8

Hope it helps!

#MissionExam001

Answer:

63

Step-by-step explanation:

When dividing by a fraction, it is the same a multiplying that fraction but the reciprocal of it.

21 / 1/3 is same as 21 * 3/1

63

Answer:  63

Answer:

wf

axStep-by-step explanation:

Answer:

Her ride is about 15.1 miles long.

Step-by-step explanation:

40.03 = 6.75 + 3.20m

33.28 = 3.20m

ISOLATE M

m = 15.1272

m = 15.1

The solution to the system of equations is (7, 13/3).

We have Equations,

y= 1/3x + 2,

y= 4/3 x - 5

Solving above two equations we get

1/3 x + 2 = 4/ 3 x - 5

1/3 x - 4/3 x = -5 - 2

-3/3 x = -7

-x = -7

x = 7

and, y = 4/3(7) - 5 = 28/3-5 = 13/3

Thus, the solution of equation is (7, 13/3).

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Answer:

-14>-1 2/3

Step-by-step explanation:

Answer:

-14>-1 2/3

Step-by-step explanation:

ΔABC and ΔDEF are similar by AAA similarity.

Solution:

Sum of the interior angles = 180°

In triangle ABC,

60° + 60° + m∠C = 180°

120° +m∠C = 180°

Subtract 120° from both sides, we get

m∠C = 60°

In triangle DEF,

60° + 60° + m∠F = 180°

120° +m∠F = 180°

Subtract 120° from both sides, we get

m∠F = 60°

Consider ΔABC and ΔDEF,

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

Therefore by AAA similarity ΔABC ≅ ΔDEF.

ΔABC and ΔDEF are similar triangles.

Answer: The answer above is correct.

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ [tex]A=800(1+\frac{0.09}{1})^{(1)(4)}[/tex]

∴ [tex]A=800(1.09)^{4}[/tex]

∴ A = 1129.265

∴ The balance after four years is $1129.27

Answer:

$2

Step-by-step explanation:

$30 ÷ 15 pounds

30 ÷ 15 = 2

Answer: $2 per pound

The unit price of apple per pound is $2.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given, Honeycrisp apples are on sale if you buy a crate, 15 pounds for $30.

To find the unit price,

we divide the total cost to total pound of a crate.

unit price of an apple

= $30 / 15

= $2

Therefore, the unit price of an apple per pound is $2.

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Answer:

10percent

Step-by-step explanation:

I think

Elle experienced a 22.22% decrease in earnings from babysitting, from $45 to $35. This is calculated by finding the difference between the two amounts, dividing by the original amount, and then multiplying by 100 to convert to a percentage.

Elle's decrease in earnings can be calculated using the formula for calculating the percentage decrease, which is [(Original value - New value)/(Original value)] * 100.

In Elle's case, the original value is $45 (the amount she earned last month), and the new value is $35 (the amount she earned this month). So, follow the formula:

So, Elle experienced a 22.22% decrease in her earnings from babysitting.

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Answer:

2 1/4

Step-by-step explanation:

Equivalent expression for x + x + x + x + x is 5x and that of 18y - 12 are 6·3y - 6·2 and 6(3y - 2)

Step-by-step explanation:

Equivalent expressions are 6·3y - 6·2 and 6(3y - 2)

Answer:

X = 29

fyfufubivih8g8hih

Answer: X = 29

X + 61 = 90

x+61−61=90−61

x=29

Answer:

b

Step-by-step explanation:

The flavor most likely to sell best if stocked by the grocery chain is B. Salsa Crisps, as it has the highest probability of purchase at 0.35.

To determine which flavor of potato crisps is most likely to sell best if stocked by the grocery chain, we need to compare the given probabilities.

From these calculations, we can see that Salsa Crisps have the highest probability (0.35) of being bought. Therefore, Salsa Crisps are the most likely to sell best if stocked by the grocery chain.

The correct answer is Salsa Crisps.

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 7

Step-by-step explanation:

Note the common difference d between consecutive terms in the sequence, that is

d = - 35 - (- 28) = - 42 - (- 35) = - 49 - (- 42) = - 7

Thus to obtain a term in the sequence subtract 7 from the previous term

[tex]a_{n+1[/tex] = [tex]a_{n}[/tex] - 7 with a₁ = - 28

Answer:=-35a^5b^5c^5

Step-by-step explanation:

Answer:

-35a^5b^5c^7

Step-by-step explanation:

Step 1:  Distribute

(-7a^4bc^3)(5ab^4c^4)

(-7 * 5) * (a^4 * a) * (b * b^4) * (c^3 * c^4)

(-35) * (a^5) * (b^5) * (c^7)

-35a^5b^5c^7

Answer:  -35a^5b^5c^7

In isosceles triangle ABC with AB=AC=4, and AH=3HC, the length of BC is [tex]\( \frac{4\sqrt{5}}{5} \)[/tex] units, determined using the Pythagorean Theorem and the given relationship between AH and HC.

In isosceles triangle ABC, let BH be the altitude from B to side AC. Given AB = AC = 4 and AH = [tex]3 \cdot[/tex] HC, we can use the Pythagorean Theorem in right triangle ABH:

[tex]\[ BH^2 + AH^2 = AB^2 \][/tex]

Substitute the given values:

[tex]\[ BH^2 + (3HC)^2 = 4^2 \][/tex]

Simplify:

[tex]\[ BH^2 + 9HC^2 = 16 \][/tex]

Since BH = HC in an isosceles triangle, substitute BH with HC:

[tex]\[ HC^2 + 9HC^2 = 16 \][/tex]

Combine like terms:

[tex]\[ 10HC^2 = 16 \][/tex]

Solve for HC :

[tex]\[ HC^2 = \frac{8}{5} \][/tex]

Now, use the Pythagorean Theorem in right triangle BHC:

[tex]\[ BC^2 = BH^2 + HC^2 \][/tex]

Substitute the known values:

[tex]\[ BC^2 = HC^2 + HC^2 \]\[ BC^2 = 2HC^2 \]\[ BC^2 = 2 \cdot \frac{8}{5} \]\[ BC^2 = \frac{16}{5} \][/tex]

Therefore, BC is the square root of [tex]\( \frac{16}{5} \)[/tex], which simplifies to [tex]\( \frac{4}{\sqrt{5}} \)[/tex] or [tex]\( \frac{4\sqrt{5}}{5} \)[/tex].

The length of BC in an isosceles triangle with sides AB=AC=4 and altitude BH, where AH=3(HC), is 2√2 units.

To determine the length of BC in an isosceles triangle ABC with sides AB=AC=4 and altitude BH, where AH=3(HC), we can use the properties of similar triangles and the Pythagorean theorem.

Since the triangle is isosceles, the altitude BH will bisect the base AC at H, creating two right triangles ABH and CBH. We know that AH=3(HC), which can be expressed as AH=3x and HC=x for some value x. Therefore, AC = AH + HC = 3x + x = 4x.

Using the Pythagorean theorem (a² + b² = c²), in triangle ABH, we get:

And in triangle HBC, we have:

Since we want to find BC, we first solve for BH from the first right triangle:

Substitute BH² into the second equation:

To find x, we use AC = 4x = 4, thus x = 1. Substituting x into the equation for BC, we get:

1. Recall the vertical line equation.

2. Plug in the x that we know.

3. Write down the final equation

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Answer:

D

Step-by-step explanation:

∠ PAR is an angle at the centre of the circle subtended by the arc PR

The central angle is equal to the arc that subtends it, thus

∠ PAR = arc PH + arc HR = 80° + 45° = 125° → D