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3 years ago

Figure AAA is a scale image of Figure BBB. What is the value of xxx?

Mathematics

2 answers:

Kobotan [32]3 years ago

5 0

Answer:

5.25

Step-by-step explanation:

Arada [10]3 years ago

3 0

Answer:

The scale factor from Figure A to Figure B is 1/2

Step-by-step explanation:

<u><em>The correct question is</em></u>

Figure B is a scaled copy of Figure A.

What is the scale factor from Figure A to Figure B?

The picture in the attached figure

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem Figure A and Figure B are similar

To find out the scale factor, determine the ratio of its vertical corresponding sides

The vertical side of figure A is 4 units

The corresponding side in figure B is 2 units

$\frac{2}{4}=\frac{1}{2}$

The scale factor is less than 1

The dilation is a reduction

therefore

The scale factor from Figure A to Figure B is 1/2

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Solve each equation for y. <br> 1. 2y + 4x = 8; x = -2, 1, 3

prohojiy [21]

Answers:

IF: x = -2, THEN: y = 8

IF: x = 1, THEN: y = 2

IF: x = 3, THEN: y = -2

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. When isolating, do the opposite of PEMDAS. When solving, follow PEMDAS.

If: x = -2

Plug in -2 for x in the equation.

2y + 4 (-2) = 8

First, multiply. Note that when you multiply a negative and a positive number, your answer will be negative:

2y + (4 * -2) = 8

2y - 8 = 8

Isolate the variable, y. First, add 8 to both sides:

2y - 8 (+8) = 8 (+8)

2y = 8 + 8

2y = 16

Next, divide 2 from both sides of the equation:

(2y)/2 = (16)/2

y = 16/2

y = 8

IF x = -2, then y = 8.

If: x = 1

Plug in 1 for x in the equation.

2y + 4(1) = 8

First, multiply:

2y + (4 * 1) = 8

2y + 4 = 8

Next, isolate the variable, y. Note the equal sign; do the opposite of PEMDAS.

First, subtract 4 from both sides:

2y + 4 (-4) = 8 (-4)

2y = 8 - 4

2y = 4

Next, divide 2 from both sides to isolate y:

(2y)/2 = (4)/2

y = 4/2

y = 2

If: x = 1, then y = 2.

If: x = 3

Plug in 3 for x in the equation:

2y + 4(3) = 8

First, multiply:

2y + (4 * 3) = 8

2y + 12 = 8

Next, isolate the variable, y. Note the equal sign; do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

2y + 12 (-12) = 8 (-12)

2y = 8 - 12

2y = -4

Next, divide 2 from both sides of the equation:

(2y)/2 = (-4)/2

y = -4/2

y = -2

If: x = 3, then y = -2.

7 0

3 years ago

Tina has 3 stacks of 5 cds on each of 3 shelves. How many cds does she have?

trasher [3.6K]

She has a total of 45 CDS.

One Shelf Have 15 Cds
Multiply 15 x 3 and you have 45 CDs total

6 0

3 years ago

Read 2 more answers

Please answer quickly! Several questions from Algebra 2, on a unit about Sequences and Series, most of these have to do with Ari

AnnyKZ [126]

The sum of the geometric series is 2199; option E.

The 36th term of the arithmetic series is -60.5 option C
The sum of the arithmetic series is 2547; option E
The missing geometric sequence are; 1.614375, 3.30946875, 6.7844109375. option E

<h3>Arithmetic and Geometric series</h3>

a1 = 1458
r = 1/3
a6 = 6

S6 = a(rⁿ - 1) / r -1

= 1468(1/3^6 - 1) / (1/3 - 1)

= 1468(0.00137174211248 - 1) / -2/3

= 1468(-0.9986282578875) / -0.66666666666666

= -1,465.98628257885 / -0.66666666666666

= 2198.97942386829

Approximately,

S6 = 2199

Arithmetic series

a36
a1 = 27
d = -5/2

Sn = n/2{2a + (n -1)d}

= 36/2 {2×27 + (36-1)-5/2}

= 18{54 + (35)-5/2}

= 18(54 + 175/2)

= 18(54 + 87.5)

= 18(141.5)

s36 = 2547

a36 = a + (n - 1) d

= 27 + (36 - 1)-5/2

= 27 + (35)-5/2

=27 + -175/2

= 27 - 87.5

= -60.5

S20 = n/2{2a + (n -1)d}

= 20/2{2×27 + (20-1)-5}

= 10(54 + (19)-5)

= 10{54 + (-95)}

= 10(54-95)

= 10(-41)

s20 = -410

Missing terms of the geometric sequence:

nth term = ar^n-1

448/135 = 63/80×r^(6-1)

448/135 = 63/80×r^5

r^5 = 448/135 ÷ 63/80

= 448/135 × 80/63

= 35,840/8,505

r = 5√35,840/5√8505

= 946.57/461.11

r = 2.05

Second term = a×r

= 63/80×2.05

= 1.614375

Third term = ar²

= 63/80×2.05²

= 63/80×4.2025

= 3.30946875

Fourth term = 63/80 × 2.05³

= 63/80×8.615125

= 6.7844109375

Therefore, none of these are correct

Learn more about sum of geometric series:

brainly.com/question/24643676

#SPJ1

4 0

2 years ago

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no sol

Ilya [14]

Answer:

A. 3(x-2)+x=4x+6 has no solution.

Step-by-step explanation:

We are provided the subsequent data in the question:

We evaluate the presented expressions to find which equations have no answer.

1) Image of solved equation is added below.

2) Image of solved equation is added below

3) Image of solved equation is added below

4) Image of solved equation is added below

Equation 1 has no solution.

3 0

3 years ago

Read 2 more answers

What is the length of the longer of the two chords shown?

Rainbow [258]

Answer:

Step-by-step explanation:

When 2 chords intersect then the product of the parts of one chord equal the product of the parts of the other chord, that is

12(x - 7) = 4(x + 3) ← distribute parenthesis on both sides

12x - 84 = 4x + 12 ( subtract 4x from both sides )_

8x - 84 = 12 ( add 84 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus

12 + x - 7 = 12 + 12 - 7 = 17

4 + x + 3 = 4 + 12 + 3 = 19 ← longer chord

5 0

4 years ago

Read 2 more answers