Fatima collected 78 leaves at Zabeel Park for a pressed-leaf collection. If she places and equal number of leaves in each of 3 books, how many leaves will be in each book? (SHOW YOUR WORK/STEPS)

Answer:

AE ≅ CE

∠BAE ≅ ∠DCE

Step-by-step explanation:

In the figure, △EBA ≅ △EDC.

Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.

Because CPCTC, which relationships are true?

Check all that apply.

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

AB ≅ BE

AC ≅ BD

EDGE2020

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.

In the given information, △EBA ≅ △EDC.

Given that the Triangles EBA and EDC are connected at point E.

Also Angles A B E and E C D are right angles.

And Angle A E B and D E C are congruent.

The Sides B E and E D are congruent.

Hence,

AE ≅ CE

∠BAE ≅ ∠DCE

∠CDE ≅ ∠BAE

Now AB ≅ BE

AC ≅ BD

The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE

Learn more about congruent triangles;

https://brainly.com/question/12413243

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Answer:

3x+7=7x-13(Being isoceles traingle)

7+13=7x-3x

20=4x

×=5

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

Answer:

A: y − 1 = −2(x − 4)

Step-by-step explanation:

on edge! hope this helps!!~ (⌒▽⌒)☆

Answer:

Y=-3(x+6)

Step-by-step explanation:

Did this on edge2020

Answer:

y = -3(x + 6)  and y = -3(x - 2)

Step-by-step explanation:

A system that has no solutions means that the lines do not intersect at any point meaning the lines are parallel to each other, and for lines to be parallel to each other the slope of the lines should be equal since parallel lines have same slope.

So the equation of the line in the graph is y = -3x + 6

and the equation when graphed will form a system that has no solution is

y = -3(x + 6)  and y = -3(x - 2)

both have same slope to the slope of the line graphed in the figure that is -3

Answer:

≈ 7.71 ft

Step-by-step explanation:

The perimeter is half the circumference (C)  of the circle plus the diameter.

[tex]\frac{1}{2}[/tex] C = [tex]\frac{1}{2}[/tex] πd ( d is the diameter )

      = 0.5 × π × 3 = 1.5π

Thus

perimeter = 1.5π + 3 ≈ 7.71 ft ( to the nearest hundredth )

Answer:

Multiplying the first equation by 1 and the second equation by 5 to eliminate the y variable .

x= 0.3

y= -1.9

Step-by-step explanation:

8.3x + 5y = -7  ----------i

- 7x + y = -4 -----------ii

Multiply the first equation by 1 and the second equation by 5 to eliminate the y variable as below;

[8.3x + 5y = -7 ]1

[- 7x + y = -4]5

8.3x + 5y = -7

-35 x + 5y = -20

perform subtraction to eliminate y as

8.3x --35x = -7--20

43.3 x = 13

x= 13/43.3

x= 0.3

Using equation ii ;

-7x + y = -4

-7 * 13/43.3 + y = -4

-91/43.3 + y = -4

y= -4 + 91/43.3

y= -4 + 2.1

y= -1.9

Answer:

A

Step-by-step explanation:

One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Answer:

A. Each value is an equivalent ratio

Step-by-step explanation:

This image shows that the only possible answer would be A.

Answer:

18

Step-by-step explanation:

50-32=18

Answer:

$25.90

Step-by-step explanation:

39.99 - 40% = 23.99

23.99 TIMES 8% = $1.91

23.99 + 1.91= $25.90

Answer:

Yes. Your answer is correct. There is only one solution:. (1, -4).

Step-by-step explanation:

If you plug in 1 for x and -4 for y both sides of the equation are equal to each other. (Because the points are (x, y))

But any other answer is not right because when you plug in the answer the sides don't equal each other.

Answer:

it is option 1

Step-by-step explanation:

mark my answer as brainliest

Answer:

3

Step-by-step explanation:

To find the relative maximum of a function the double derivative should be less than zero at the stationary point. For that we need to find the stationary value/values of the function so here goes,

[tex]f(x)=-x^3+6x^2-9x-1\\f'(x)=-3x^2+12x-9\\\\For\ stationary\ point\ f'(x)\ equals\ zero\\\\0=-3x^2+12x-9\\3x^2-12x+9=0\\x^2-4x+3=0\\\\x^2-3x-x+3=0\\x(x-3)-1(x-3)=0\\(x-3)(x-1)=0\\x=3\ ,\ x=1[/tex]

Now since we have two values of x at which the function is stationary we need to test them both for that we need to take the double derivative so here goes,

[tex]f'(x)=-3x^2+12x-9\\f''(x)=-6x+12\\now\ put\ x = 1\\f''(1)=-6(1)+12\\f''(1)=-6+12=6\\since\ f''(1)>0[/tex]

The point x = 1 is a relative minimum

But we need the relative maximum so lets try out x = 3

[tex]f''(x)=-6x+12\\f''(3)=-6(3)+12\\f''(3)=-18+12=-6[/tex]

[tex]since\ f''(3)<0[/tex]

The point x = 3 is the relative maximum because for relative maximum the double derivative should be negative or less than 0 in this case its true so the last option is your answer

Answer:

-3

Step-by-step explanation:

the y=mx+b form is y=3/2x-3 and the b is the y-intercept.

Answer:

Amount earned in 1 hour [tex]=\$9.750[/tex]

Amount earned in 1 hour [tex]=\$10[/tex]

Step-by-step explanation:

Total amount earned by Dawn = $97.50

Dawn earned $97.50 for 10 hours of work

Amount earned in 1 hour [tex]=\frac{97.50}{10}=\$9.750[/tex]

Total amount earned by Amy in 12 hours = $120

Amy earned $120 in 12 hours of work

Amount earned in 1 hour [tex]=\frac{120}{12}=\$10[/tex]

Answer:

-3/4

Step-by-step explanation:

-3/4 = -0.75

-13/16 = -0.8125

-0.75 > -0.8125

Answer: this isnt the answer but these ads are S****TY dont click on this 1

i can barely see it please send a different picture

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

i think its sas because iy states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles wre congruent

Answer:

[tex]\displaystyle m=\frac{3}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 0)

Point (2, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

A whole number

Step-by-step explanation:

An integer is a whole number like 1, 2, 3. It could also be -1, -2, -3, or 0. 9.4 is not an integer. 10 is an integer.

Answer:

The answer is "Gavin combined paint to [tex]\frac{10}{3}[/tex] to produce 2 mango paint containers".

Step-by-step explanation:

For the development of Mango shade, Gavin used the red and the yellow colour.  He wants to add one batch:

[tex]\to 5\frac{5}{6} + 5 \frac{5}{6}[/tex]

Foe 2 batches:

[tex]\to 5\frac{5}{6}+ 5\frac{5}{6} + 5\frac{5}{6} + 5\frac{5}{6}[/tex]

Solve the equation in two parts:

First Solving the whole numbers:

[tex]\to 5 + 5 + 5 + 5 = 20[/tex]

Second Solving the fractions part :

[tex]=\frac{5}{6}+\frac{5}{6}+\frac{5}{6}+\frac{5}{6}\\\\ = \frac{5+5+5+5}{6}\\\\= \frac{20}{6}\\\\= \frac{10}{3}[/tex]

Gavin combined paint to [tex]\frac{10}{3}[/tex] to produce 2 mango paint containers.

Answer:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Step-by-step explanation:

3 units in the x direction, -2 units in the y direction, 1 unit in the z direction

Answer: option A

Step-by-step explanation:

edge 2023

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

Answer:

x = ∞ (Infinite solutions)

Step-by-step explanation:

[tex]4(2x-1)=8x-4\\\\8x-4=8x-4\\\\8x-4+4=8x-4+4\\\\8x=8x\\\\8x-8x=8x-8x\\\\\boxed{0=0}[/tex]

Since both sides of the equation mirror each other, the equation has infinitely many solutions.

Hope this helps.

Answer:

Step-by-step explanation:

The sum of two irrational numbers is always still irrational.

5√3 + 6√5 is still going to be irrational. You cannot find two such numbers adding to rational.

Answer:

The sum of two rational numbers is always rational

Step-by-step explanation:

The sum of numbers always terminate and ends.

Answer:

14n+4m

Step-by-step explanation:

Hey there!

“Simplify 2(7n + 5m – 3m)”

2(7n + 5m – 3m)

FIRST you have to DISTRIBUTE

2(7n) + 2(5m) + 2(–3m)

2(7n) = 14n

2(5m) = 10m

2(–3m) = –6m

14n + 10m – 6m

SECOND COMBINE your LIKE TERMS

(14n) + (10m – 6m)

(10m – 6m) = 4m ⬅️ FRONT number

(14n) = 14n ⬅️ BACK number

Answer: 4m + 14n ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

f(x) is 5x³ and g(x) is  x+1

Step-by-step explanation:

Given the composite function:

h(x) = f(g(x)) = 5(x + 1)³

The function and be splitted into 5x³ and x+1 where f(x) =  5x³ and g(x) = x+1

Check:

f(g(x)) = f(x+1)

Substitute x with x+1 inn f(x)

f(x+1) = 5(x+1)³

f(g(x)) =  5(x+1)³  (which gives the required function

Hence one possibility of f(x) is 5x³ and g(x) is  x+1

Answer:

Let's define the variables:

x = number of Cherrie pounds you buy

y = number of Grape pounds you buy.

The total cost of buying that will be:

x*$4 + y*$2.50

And this must be no more than $15, then we have the inequality:

x*$4 + y*$2.50 ≤ $15

And we also know that you need at least 5 pounds in total, then we will have:

x + y ≥ 5

We have the set of inequalities:

x + y ≥ 5

x*$4 + y*$2.50 ≤ $15

To graph them, a easy way is to write them as lines, and just graph the lines:

y ≥ 5 - x

y  ≤ ($15 - x*$4)/$2.50

in the first inequality, we have the symbol ≥, this means that we will have a solid line and we must shade above the line.

In the second inequality, we have the symbol ≤, this means that we will have a solid line and we must shade below the line.

And we also must include the conditions:

x ≥ 0

y ≥ 0

Because you can only buy positive numbers of fruit.

This will restrict us to the first quadrant only

Then the graph will be the one shown below.

Where the solutions are the ones in the double shaded region in the first quadrant.

The inequalities that represent the given data are [tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex] and [tex]\rm y\geq 5-x[/tex] and the graph of these inequalities is attached below.

Given :

The following steps can be used in order to determine the graph showing the amount of each fruit you can buy:

Step 1 - Let 'x' be the total amount of cherries in pounds and let 'y' be the total amount of grapes in pounds.

Step 2 - The inequality that represents the total amount of fruits you can buy is given below:

[tex]\rm 4x+2.5y\leq 15[/tex]

[tex]\rm y \leq \dfrac{15-4x}{2.5}[/tex]

Step 3 - The inequality that represents the total amount of fruits you need to buy:

[tex]\rm x+y\geq 5[/tex]

[tex]\rm y\geq 5-x[/tex]

Step 4 - The graph that represents the inequalities evaluated in the above steps is attached below.

For more information, refer to the link given below:

https://brainly.com/question/19491153

Answer:

3 or 5, depends on the bracelet can be fully green or red. If you have to have both colours then it's 3.

Step-by-step explanation:

RRRG

RRGG

RGGG

GGGG?

RRRR?

Answer:

6

Step-by-step explanation:

RRRR

RRRG

RRGG

RGRG

RGGG

GGGG

6, (You problary forgot hat 2 green and 2 red have 2 possilbilties, RRGG and RGRG)

Answer:

x<20/7

Step-by-step explanation:

The expression is not well written. Fine the correct expression below

Given the expression  7x−9<11

Add 9 to both sides of the expression

7x-9+9<11+9

7x < 20

Divide both sides by 7

7x/7 = 20/7

x < 20/7

Hence the required solution is x<20/7