Find the missing angle Plssss help !!!

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

Verify each statement

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

Read 2 more answers

Here is a flower made up of yellow hexagons, red trapezoids, and green triangles.

Law Incorporation [45]

Answer: Part a) You could build 5 copies of the flower pattern

Part b) You would have 40 red trapezoids left over

Step-by-step explanation:

The complete question in the attached figure

Part a)

Let

x -----> the number of yellow hexagons

y ----> the number of red trapezoids

z ----> the number of green triangles

we know that

The flower pattern has the following ratios

\frac{x}{y}=\frac{6}{2} ----\frac{x}{y}=3 ---- \text {equation A}

\frac{x}{z}=\frac{6}{9} --\frac{x}{z}=\frac{2}{3} -- \text {equation B}

\frac{y}{z}=\frac{2}{9} ------ \text {equation C}

Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles

1) For x=30

Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)

30/6=5\ copies

Verify the quantity of y needed and the quantity of z needed

Find the value of y

\frac{30}{y}=3 ----y=30/3=10\\

10 < 50 ----> is ok

Find the value of z

\frac{30}{z}=\frac{2}{3} --- z=30*3/2=45

45<60 --->is ok

2) For y=50

Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)

50/2=25\ copies

Verify the quantity of x needed and the quantity of z needed

Find the value of x

\frac{x}{50}=3 ----x=50*3=150

150 > 30 ----> is not ok

3) For z=60

Divide 60 by 9 (remember that in one pattern there are 9 green triangles)

60/9=6.7 copies

Round down

6 copies -----> 6(9)=54 green triangles

Verify the quantity of x needed and the quantity of y needed

Find the value of x

\frac{x}{54}=\frac{2}{3} --- z=54*2/3=36

36> 30 --->is not ok

therefore

You could build 5 copies of the flower pattern

Part b)

we know that

x:y:z=6:2:9

If you build 5 copies

1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over

2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over

3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over

therefore

You would have 40 red trapezoids left over

3 0

3 years ago

What is... 7 4/7 + 14 4/5 Thank you so much!

SCORPION-xisa [38]

$7+4/7+14+4/5$
$=7+14+4/7+4/5$
$=21+(4*7+4*5)/35$
$=21+48/35$
$=22+13/35$
$=22\frac{13}{35}$

7 0

3 years ago

A seal has 1,500 nerves per whisker. That is 101010 times as many as a rat has. How many nerves per whisker does a rat have?

GREYUIT [131]

Answer:

0.01485...

Step-by-step explanation:

Given:

A seal has 1,500 nerves per whisker
This is 101,010 times as much as a rat has per whisker

We will:

Divide the number 1,500 by 101,010

1,500 ÷ 101,010 = 0.0148500149

0.0148500149 ⇒ 0.01485 when rounded

Your answer: 0.0148500149, 0.01485 when rounded

<h3>Carry on Learning!</h3>

6 0

3 years ago

HELP ME PLEASE PLEASE PLEASE

scoray [572]

If the angles of a convex octagon are $2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.$ then the smallest angle is 21°.

Given The exterior angles of convex octagon are $2x+6,x+13,2x-1,2x+12,2x-17,3x-4,3x-10,4x.$

and we have to find the value of smallest angle.

The sum of the angles of a convex octagon is 360°

so to calculate the smallest angle we need to find out the value of x first and which is calculated by summing up all the exterior angles and put them equal to 360.

(2x+6)+(x+13)+(2x-1)+(2x+12)+(2x-17)+(3x-4)+(3x-10)+4x=360

2x+6+x+13+2x-1+2x+12+2x-17+3x-4+3x-10+4x=360

2x+x+2x+2x+2x+3x+3x+4x+6+13-1+12-17-4-10=360

19x-1=360

19x=360+1

19x=361

x=361/19

x=19

Putting the value of x in all the angles and we will find the following:

2x+6=2*19+6=44

x+13=19+13=32

2x-1=2*19-1=37

2x+12=2*19+12=50

2x-17=2*19-17=21

3x-4=3*19-4=51

3x-10=3*19-10=47

4x=4*19=76

Hence among all the exterior angles the smallest angle is 21°.

Learn more about angles at brainly.com/question/25716982

#SPJ10

8 0

2 years ago