Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Each pair of figures is similar. Find the value of the missing side (x).

Answers

Answer 1

9514 1404 393

Answer:

  3 in

Step-by-step explanation:

Ratios of corresponding sides are equal, so we have the proportion ...

  x/(5 in) = (6 in)/(10 in)

  x = (5 in)(6/10) = 3 in

The missing side (x) is 3 in.


Related Questions

Write the fraction 16/28 in simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

Do the mathematics please. I will give a reward.

Answers

9514 1404 393

Answer:

  p = -3/4b -3/4

Step-by-step explanation:

Vectors are perpendicular when their dot product is zero.

  A·B = p(4) +b(3) -3(-1) = 4p +3b +3

We want this to be zero, so ...

  4p +3b +3 = 0

  4p = -3b -3

  p = -3/4b -3/4 . . . . the value of p that makes A⊥B

5x²+4x+3=0 solve for x​

Answers

Answer:

[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]

Step-by-step explanation:

[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]

from quadratic formular:

[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]

general equation:

[tex] {ax}^{2} + bx + c = 0[/tex]

a is 5, b is 4 and c is 3:

substitute in formular:

[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]

but from complexes, i² = -1

[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]

Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.

Answers

The correct answer would be true

Here we want to see if the statement:

"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.

We will see that it is true.

First, a general linear equation can be written as:

y = a*x + b

Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.

The proper use of units is:

y and b must have the same units.

x can have any type of units

The slope must have the quotient between the units of y and the units of x.

Where the proper use of units means that we have the same units on both sides of the expression.

Now, assume that we know the units of y and x.

For example:

y is miles  (then b is also in miles)

x is in hours

Then, with the proper use of units, we can see that the units of the slope are:

miles/hour, or miles per hour.

With this (only knowing the units of x and y) we can see that the slope will be a speed.

So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)

Thus, the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/20286983

please answer this question​

Answers

Step-by-step explanation:

all steps are in picture

I need answers for problem solving

Answers

Answer:

243

Step-by-step explanation:

the answer is 243 for number 6

Answer:

all you gotta do is do 2430 divided by ten

I want to know how to solve this.

Answers

Answer:

B

I just did it and got it right

Which of the following fractions is in lowest form

Answers

fraction is in lowest term is no(b)

6/19 is the only one that can’t be simplified to the standard form.

the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?

Answers

its 1.429 x10^-4 grams per cubic cm

Solve 2/5 x + 1/2 = 5/6

Answers

The answer is x= 5/6

Answer:

5/6

Step-by-step explanation:

I'm assuming the x in your equation is used as a variable.

5/6-1/2= 2/6=1/3

2/5x=1/3

x=5/6

A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.

Answers

Answer:

The number is 2

Step-by-step explanation:

x * 16 + 4 = 9*4

x * 16 + 4 = 36

x * 16 + 4 - 4 = 36 - 4

x * 16 = 32

x * 16 / 16 = 32 / 16

x = 2

Answer:

The number is 2

Step-by-step explanation:

let the number be "a"

16a+4=4×9

16a+4=36

16a=36-4

16a=32

a=2

Find the area of each shaded region. Show your reasoning.

Answers

maybe we could answer if there waas a pic=]

Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?

A. $253
B. $383
C. $590
D. $337

Answers

Answer:

D.

Step-by-step explanation:

$230 + $360 = $590

$590 - $253* = $337

$337

*( total sum of all the bills )

Add or Subtract: show all written work 30 POINTS!!

Answers

Answer:

I hope it helped U

stay safe stay happy

I need help ASAP whit this question

Answers

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

if SP is equal to rupees 400 and loss percent is 20% find CP​

Answers

SP=400Percentage of loss=20%

100-20=80%=400

[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]

[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]

[tex]\\ \rm\longmapsto CP=5(100)[/tex]

[tex]\\ \rm\longmapsto CP=500[/tex]

Step-by-step explanation:

Given,

S.p.=Rs400

Loss percent(L%) =20%

C.p.=?

We know,

S.p. =(100-L) % of c.p.

or,400=(100-20)% *c.p.

or,400=80% *c.p.

or, 400=80/100*c.p.

or,c.p.=Rs.500

Here, c.p.=Rs.500

solve for x of the given angle ​

Answers

Answer:

m<ABC = 92

Step-by-step explanation:

(3x + 23) and 4x are equal angle wise. So we have the equation:

(3x + 23) = 4x

3x = 4x - 23

-x = -23

x = 23

Multiply x by 4 which is 92

Can someone pls help me pls ​

Answers

Answer:

your fractions will go in order of 1/4, 2/5, 5/8, 4/6

Step-by-step explanation:

a. 2/5 < 1/2 and 4/6 > 1/2 so 2/5 < 4/6

b. 5/8 > 1/2 and 1/4 < 1/2 so 5/8 > 1/4

c. 4/6 > 1/2 and 4/6 < 2/2 and 5/8 > 1/2 and 5/8 < 2/2 and 5/8  ?? cannot see this

A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?

Answers

Answer:

$330

Step-by-step explanation:

To find the total area of the shop do 6 times 11

6*11 = 66 sq. yards

Now, do 5 * 66 because one yard is $5

5 * 66 = 330

It costs $330

if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage​

Answers

Hi,

To solve this problem, Let us take the LCM of 10 and 16 which will come 80.

Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n

According to the question, CP of 10 tables is equal to the SP of 16 tables, then

the SP of 16 tables will also be ₹ n.

So, SP of 80 tables will be ₹ 5n

So, Loss = CP-SP

→ 8n - 5n = ₹ 3n

Loss%= (3n×100)/8n

Loss%= 37.5%.

Hence the correct answer will be a loss of 37.5%.

Please help!! 7th grade math! will mark brainlist!!!​

Answers

Answer:

A: rectangle

B: still a rectangle

Step-by-step explanation:

Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.

Hope this helps love <3

Need help for this question. ASAP

Answers

Answer:

Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed left

If 32^2^c= 8^cC+7, what is the value of c?

Answers

Answer:

C=3

Step-by-step explanation:

At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?

Answers

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

Which of the following is true, according to the graph?

There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.

Answers

Answer:

a one is right answer

Step-by-step explanation:

h.j.j.k kaoa0

Simplify. √ −18

A -3i√2
B 3i√2
C 9i√2
D -3√2

Answers

C -3?2 22 fjfngne xmamaqw

Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%

Answers

Answer:

a is the answer I'm 1000% sure

Answer:

2.5%

Step-by-step explanation:

If you’re trying to convert a number to a percent, then multiply the number by 100



A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.​

Answers

Answer:

Step-by-step explanation:

$211000 are 100% - 58% = 42% of the (former) income.

Therefore, 1% is 42 times less: 211000/42 = 5023.81,

and the (former) income was 100 times this value, i.e. GHC 502381.

g(x)=−3x−4, find g ( 5 ) g(5).

Answers

Answer:

-19

Step-by-step explanation:

g(x)=−3x−4

Let x = 5

g(5)=−3*5−4

Multiply

   = -15-4

   = -19

Hey there!

[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]

Hope it help you

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.

Answers

The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.

An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.

One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.

Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.

Learn more about interval scale here:

https://brainly.com/question/24260284

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