How many edges does the following shape have?

Answer:

  the SSS similarity theorem

Step-by-step explanation:

The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.

The ratios of corresponding sides are the same, so the applicable theorem is ...

  the SSS similarity theorem

__

3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.

_____

Additional comment

You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.

Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Answer:

5  < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5  < 10x - 3

Answer:

32 school hrs in a week.

Step-by-step explanation:

The reduction percentage =

80 x 0.80 = 64  (hrs)

The distribution =

64/2 = 32hrs

Answer:

[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]

Step-by-step explanation:

The data is collected from actual players, from real world, not simulation.

=> Option A-Simulation is incorrect.

The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.

=> Option C-Experiment is incorrect.

The data is collected subjectively and used directly to generate mock scores without any manipulation.

The data can be considered the results of survey.

=> Option B-Survey is correct

Hope this helps!

:)

Answer: Simulation

Step-by-step explanation:

I took the quiz

Answer:

x < 6

Step-by-step explanation:

There is an open circle ( no equals) at 6   and the line goes to the left

This means that it is less than 6

x < 6

Answer:

11/123

Step-by-step explanation:

P( gospel) = number of gospel songs/ total

                 = 11/123

Answer:

B. -7[tex]x^{2}[/tex] + 3x + 5

Step-by-step explanation:

(-3[tex]x^{2}[/tex] + x + 5) - (4[tex]x^{2}[/tex] - 2x)

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

Combine like terms

-3[tex]x^{2}[/tex] - 4[tex]x^{2}[/tex] = -7[tex]x^{2}[/tex]

x - -2x = x + 2x = 3x

5

-7[tex]x^{2}[/tex] + 3x + 5

I hope this helps :))

Answer: 16.38

Step-by-step explanation: I had this same math problem a while ago and got it right.

Answer:

hello 55

Step-by-step explanation:

Answer:

This would equal 13.

2x2=4, 6/2=3, 3x3=9, 9+4=13

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]

Answer:

40

Step-by-step explanation:

x+10= x 5/4

x +10= 5x/4

4x+40= 5x

40= x

x=40

Answer:

1. 37° 2. 140

Step-by-step explanation:

They are supplementary angles, so the angle measures equal a straight line, or 180 degrees. 180 - 143 = 37

Answer:

This is a rotation of 180 degrees

Step-by-step explanation:

A translation is a shift side to side or up and down

A reflection is a mirror image across a line

A dilation is a shrink/enlargement

This is a rotation of 180 degrees.  If we rotate around the origin 180 degrees, we will have the same image

Answer:

B. one 90 degree rotation

Step-by-step explanation:

im smart.

Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

Answer:

6a−14

Step-by-step explanation:

Answer:

[tex]=6a-14[/tex]

Step-by-step explanation:

[tex]3\left(4a-3\right)-\left(6a+5\right)\\\mathrm{Expand}\:3\left(4a-3\right):\quad 12a-9\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\\mathrm{Simplify}\:3\cdot \:4a-3\cdot \:3:\quad 12a-9\\=12a-9\\-\left(6a+5\right):\quad -6a-5\\=12a-9-6a-5\\\mathrm{Simplify}\:12a-9-6a-5:\quad 6a-14\\=6a-14[/tex]

Answer:

a. 5.3%

b. 7.3%

Step-by-step explanation:

we have to:

n = 12

p = 0.2

q = 1 - 0.2 = 0.8

We apply the binomial formula:

p (x) = nCx * p ^ x * p ^ (n-x)

a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)

12C5 = 12! / (5! * (12 -5)!) = 792

P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)

P (x = 5) = 0.053

which means that the probability is 5.3%

b. P (x => 5) = 1 - p (x <5)

P (x => 5) = 1 - p (x <= 4)

P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]

P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069

P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206

P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283

P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236

P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133

replacing:

P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]

P (x => 5) = 1 - 0.927

P (x => 5) = 0.073

Which means that the probability is 7.3%

Answer:

489.84 m3 es la respuesta

Our first step would be to distribute this 3 through the

parentheses to get 3x + 3 on the right side of the equation.

On the left bring down your y - 2 to get y - 2 = 3x + 3.

Next we would move the -2 to the right side of the

equation by adding 2 to both sides to get y = 3x + 5.

Now, this equation is written in slope-intercept form because

the y is by itself on the left side of the equation.

Answer:

For 5 years $87

For 6 months $8.7

Step-by-step explanation:

To calculate the interests, we use the simple interest formula

Mathematically;

I = PRT/100

where P is the amount invested called the principal = $580

R is the rate = 3%

Time differs which may be 5 years or 6 months according to the question.

kindly note that 6 months is 0.5 year

For 5 years, we have

I = (580 * 3 * 5)/100 = $87

For 6 months, we have;

I = (580 * 3 * 0.5)/100 = $8.7

The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units

Considering the triangle WYZ, we make use of the following Pythagoras theorem

c² = 4² + 3²

Evaluate the exponents

c² = 16 + 9

Evaluate the sum

c² = 25

Take the positive square root of both sides

c = 5

This means that the value of c is 5 units

Read more about right triangles at:

https://brainly.com/question/2217700

#SPJ5

Answer:

d.

Explanation:

Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.

Answer:

So if the company fills in 1/10 of a tank in 1/5 hour. We should multiply by 10

so that means that the tank will be 100% full because 10/10 = 100%

That also means we need to multiply it by 1/5. 1/5*10 = 10/5.

Therefore we get 2 hours.

Thanks for the question. I am working my way up to brainliest and and Master Answerer

Step-by-step explanation:

c because it is accuet.

hope it helps

Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD

The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.

To prove that ΔABD is congruent to ΔCBD where given that

1.Line segment AB ≅ Line segment CB  (Given)

2. Then we can write AD ≅CD ; Given : D is the mid point of AC

3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.

BD can be considered as side of both the given triangles

Therefore, the reason that can justify statement 3 is option C.

Also, Learn more about the properties of congruence from the link below:

https://brainly.com/question/2039214

#SPJ5

Answer:

Step-by-step explanation:

I think 33°

Answer:

its 34 i think

Step-by-step explanation:

Answer:

The y-intercept is the point of which the graphed line passes through the y axis.

Step-by-step explanation:

First person to give me Brainliest wins the official contest!! Hurry!! Please give me Brainliest, I just started using this and really want it.

Answer:

[tex]\frac{1}{770}[/tex]

Step-by-step explanation:

[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]

Answer:

1 / 770.

Step-by-step explanation:

1/35 * 1/22

= 1*1 / 35*22

= 1 / 770.

Answer:

A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

Answer:

SYNTAX PROPERTY

Step-by-step explanation:

=========================================================

How to get this answer:

The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.

--------

(angle ABC) + (angle CBD) = angle ABD

4x + 5x = 90

9x = 90 ... combining like terms

9x/9 = 90/9 ... dividing both sides by 9

x = 10

-------

If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC

If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD

We see that ABC+CBD = 40+50 = 90