WHAT ARE THE SPECIFIC RULES FOR PROVING SIMILARITY IN TRIANGLES? EXPLAIN.

Answer:

The answer is C) -1 and -4

Step-by-step explanation:

Sorry i don't have the step by step explanation but that's the answer

Answer:

Option C. [tex]2.5[/tex]

Step-by-step explanation:

we know that

In the rectangle of the figure

[tex]\frac{H}{W}=\frac{25}{10}=2.5[/tex]

so

[tex]H(W)=2.5W[/tex]

The constant is equal to [tex]2.5[/tex]

Answer:

2.5

Step-by-step explanation:

Answer:

y= -2x/3+8

Step-by-step explanation:

find 2 points: (0,8) and (6,4)

substitute in y=ax+b

8=0a+b

b=8

4=6a+b

4=6a+8

6a=-4

a=-2/3

Here is your answer

[tex]<b>z= 20 degrees</b>[/tex]

REASON:

[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.

So, in above given figure

[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)

[tex]2z+140=180 [/tex]

[tex] 2z=180-140 [/tex]

[tex]2z=40 [/tex]

[tex]z= 40/2 [/tex]

[tex]z= 20 [/tex]

HOPE IT IS USEFUL

Answer: similar

Step-by-step explanation: apex

Answer:

The fill in the blank is the word similar.

Step-by-step explanation:

A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.

When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.

Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.

The answer is: True.

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

[tex]sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx[/tex]

Then, evaluating we have:

[tex]\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}[/tex]

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for [tex]sec^{2}x-1=\frac{cosx}{cscx}[/tex] and the answer is true.

Have a nice day!

Answer:

YES

YES

NO

YES

Step-by-step explanation:

Assuming that the value is [tex]\dfrac{4}{9}[/tex].

Let's take each of the equations and check if the fraction makes the equation true.

When multiplying a whole number to a fraction, it is the same as multiplying the whole number to the numerator and dividing the total by the denominator.

[tex]63*\dfrac{4}{9}=28[/tex]

[tex]\dfrac{63*4}{9}=28[/tex]

[tex]\dfrac{252}{9}=28[/tex]

[tex]28=28[/tex]    YES

[tex]18*\dfrac{4}{9}=8[/tex]

[tex]\dfrac{18*4}{9}=8[/tex]

[tex]\dfrac{72}{9}=8[/tex]

[tex]8=8[/tex]    YES

[tex]96*\dfrac{4}{9}=42[/tex]

[tex]\dfrac{96*4}{9}=42[/tex]

[tex]\dfrac{384}{9}=42[/tex]

[tex]42.67=42[/tex]    NO

[tex]36*\dfrac{4}{9}=16[/tex]

[tex]\dfrac{36*4}{9}=16[/tex]

[tex]\dfrac{144}{9}=16[/tex]

[tex]16=16[/tex]    YES

Answer:

yes

yes

no

yes

hope this helps!!

Answer:

wouldn't it be 6/5 or 5/6 or 1.2

Step-by-step explanation:

you're answer would be two hundred eighty eight

Answer:

288

Explanation:

Hope this helps

Answer:

the correct answer would be choice C

it went left 1/2 units and went down 4 1/2 units

Answer:

It's the third option.

Step-by-step explanation:

f(x) = |x| is shaped like a V with the vertex at the point (0, 0).

The translation is 1/2 unit to the left, 4 1/2 units down.

ANSWER

[tex]y = - 5[/tex]

EXPLANATION

The horizontal asymptote of a general exponential function,

[tex]f(x) = a {(b)}^{x} + c[/tex]

is y=c.

The given exponential function is

[tex]f(x) = 4{(2)}^{x} - 5[/tex]

By comparing the given function to

[tex]f(x) = a {(b)}^{x} + c[/tex]

we have c=-5, therefore the horizontal asymptote is

[tex]y = - 5[/tex]

D using the foil method

Answer: [tex]4x^2+17x-15[/tex]

Step-by-step explanation:

To simplify the given expression we need to apply the distributive property in algebra.

The distributive property is given by :

[tex]a(b+c)=ab+ac[/tex]

The given expression:

[tex](4x- 3)(x + 5)\\\\=(4x-3)x+(4x-3)5\ \ \ \ \text{By distributive property}\\\\=4x^2-3x+20x-15\\\\=4x^2+(-3+20)x-15\ \ \ \text{Combining like terms}\\\\=4x^2+17x-15[/tex]

Answer:

the numbers are [tex]4,6[/tex]

Step-by-step explanation:

Let

x-------> the smaller even consecutive integer

x+2-------> the larger even consecutive integer

we know that

[tex]x^{2}=(x+2)+10[/tex]

solve for x

[tex]x^{2}-x-12=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2}-x-12=0[/tex]

so

[tex]a=1\\b=-1\\c=-12[/tex]

substitute in the formula

[tex]x=\frac{1(+/-)\sqrt{-1^{2}-4(1)(-12)}} {2(1)}[/tex]

[tex]x=\frac{1(+/-)\sqrt{49}} {2}[/tex]

[tex]x=\frac{1(+/-)7} {2}[/tex]

[tex]x=\frac{1(+)7} {2}=4[/tex]  ------> the solution (must be positive)

[tex]x=\frac{1(-)7} {2}=-3[/tex]

therefore

the numbers are [tex]4,6[/tex]

Two positive even consecutive numbers are [tex]4,6[/tex].

Let  [tex]x,\;x+2[/tex]  are two positive consecutive even number.

According to question,

[tex]x^2=(x+2)+10[/tex]

[tex]x^2-x-12=0[/tex]

Solve the quadratic equation,

[tex]x^2-4x+3x-12=0\\x(x-4)-3(x-4)=0\\(x-4)(x-3)=0\\\; x-4=0\\ \; x-3=0\\[/tex]

So [tex]x=3 , 4[/tex].

Positive even number is the requirement so [tex]3[/tex] is not a even number so eliminate.

Hence value of [tex]x[/tex] is [tex]4[/tex].

Two positive even consecutive numbers are [tex]4,6[/tex].

Learn more about quadratic equation here:

https://brainly.com/app/ask?q=quadratic

Answer:

4 over sixteen, or 4/16 is your answer.

Step-by-step explanation:

There are 2 pizzas, each of which contain 8 pieces. So, in all, there were 8 pieces. Eric ate two pieces from each pizza. So, 2+2=4. Thus, he ate four out of the 16 pieces. That brings us to our answer, 4/16.

I hope this helps you, have a wonderful day!

Final answer:

The ratio of the total number of pieces Eric ate to the total number of pieces eaten by his family when they bought 2 pizzas, is 1:4, meaning Eric eats 1 out of every 4 pieces.

Explanation:

For every pizza Eric's family ate, Eric ate 2 of the 8 pieces. If Eric's family bought 2 pizzas, to find the ratio of the total number of pieces Eric ate to the total number of pieces the family ate, we start by calculating the total pieces in 2 pizzas and the pieces Eric ate.

Each pizza has 8 pieces, so 2 pizzas have 8 * 2 = 16 pieces in total.

Since Eric eats 2 pieces per pizza, for 2 pizzas, he would eat 2 * 2 = 4 pieces in total.

Therefore, the ratio of the pieces Eric ate to the total pieces is:

4 (pieces Eric ate) : 16 (total pieces), which simplifies to 1:4.

This ratio means that for every piece of pizza Eric eats, there are 4 pieces total, indicating Eric eats 1 out of every 4 pieces.

Answer:

The correct answer option is 231 / 703

Step-by-step explanation:

We are given that a jar has 38 marbles, out of which 10 are red, 22 are black and 6 are green. Two marbles are drawn and the first marble is not returned when the second one is drawn.

We are to find the probability that both marbles are black.

1st draw: P (black) = [tex]\frac{22}{38} =\frac{11}{19}[/tex]

2nd draw: P (black) = [tex]\frac{21}{37} [/tex]

P (Both Black) = [tex]\frac{11}{19} \times \frac{21}{37}[/tex] = 231 / 703

Answer:

Step-by-step explanation:

Use the sine law:

[tex]\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}[/tex]

We have:

[tex]MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924[/tex]

Substitute:

[tex]\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}[/tex]         cross multiply

[tex]6\sin(\angle N)=(18)(0.2924)[/tex]

[tex]6\sin(\angle N)=5.2632[/tex]          divide both sides by 6

[tex]\sin(\angle N)=0.8772\to m\angle N\approx61^o[/tex]

Answer 2 she bought 3 gallons of lemonade

4x2.50=10

2x7.50=15

10+15=25

34-25=9

9 divided by 3=3

Answer:

Answer 2 is right.

Step-by-step explanation:

Given that Lisa purchased groceries worth $34 for a party.

A gallon of milk costs $2.50

No of gallons bought - 4

Cost of milk = [tex]2.50*4 =10[/tex]

a gallon of ice cream costs $7.50

Cost of ice creams = [tex]2*7.50 = 15[/tex]

, and a gallon of lemonade costs $3.00

Let lemonade purchased be x

Then total cost = [tex]10+15+3x[/tex]

This equals 34

[tex]25+3x =34\\3x=9\\x=3[/tex]

No of gallons of lemonade purchased =3

Answer 2 is right

assuming simple interest rate.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &1 \end{cases} \\\\\\ A=300[1+(0.06)(1)]\implies A=300(1.06)\implies A=318[/tex]

Answer:

$318

Step-by-step explanation:

I was just in a zoom class that used this as an example

Answer: [tex]x=-1[/tex]

Step-by-step explanation:

By the negative exponent rule, you have that:

[tex](\frac{1}{a})^n=a^{-n}[/tex]

By the exponents properties, you know that:

[tex](m^n)^l=m^{(nl)}[/tex]

Therefore, you can rewrite the left side of the equation has following:

[tex](\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}[/tex]

 Descompose 32 and 8 into its prime factors:

[tex]32=2*2*2*2*2=2^5\\8=2*2*2=2^3[/tex]

Rewrite:

[tex](\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}[/tex]

Then:

[tex](\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}[/tex]

As the base are equal, then:

[tex]-3(2x+7)=5(3x)[/tex]

Solve for x:

[tex]-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1[/tex]

Answer:

The least amount of large plate packs that would have to be purchased is 24.

Step-by-step explanation:

To do this we have to find first multiplication of 8 that is equally divided by 12.

A person can buy large packs of plates in multiple of 12 only.

A person can buy {1,2,3,4,5,6,7,8,...}packs of plates and will purchase

{12,24,36 ,48,60,72,84,96,...}large plates.

A person can buy small packs of plates in multiple of 8 only.

A person can buy {1,2,3,4,5,6,7,8,9,10,11,12...}packs of plates and will purchase..

{8,16,24,32,40,48,56,64,72,80,88,96,...}small plates

Now we have to keep in mind that one has to purchase equal amount of plates..

A person can buy {24,48,72,96} plates and hence least amount of large plate packs that would have to be purchased is 24....

Answer:

300%

Step-by-step explanation:

600 / 120 = 300

1/2÷1/6

=

1/2*6/1

=

6/2

=

3

Answer:

Quotient would be 3.

Step-by-step explanation:

The model below can be used to find the quotient of one over two dividend by one over six.

We will rewrite the problem :

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{6}[/tex]

As we know when we divide the two fractions, we must invert the second fraction and put the sign of multiplication in place of division sign and multiply.

So now we can write the problem as :

[tex]\frac{1}{2}[/tex] × [tex]\frac{6}{1}[/tex]

= [tex]\frac{6}{2}[/tex]

= 3

Quotient would be 3.

Answer:

  90°

Step-by-step explanation:

Supplementary means they add to 180°. Vertical angles are congruent, so they must both be 180°/2 = 90°.

Answer:

90

Step-by-step explanation:

Did the Geometry quiz 2021

Plz click the Thanks button!

<Jayla>

Answer:

the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287

Step-by-step explanation:

When conducting hypothesis tests, the P value tells you the probability of the results happening by random chance.  That's why we usually test against a very low alpha level, usually 1% or 5%.  

Here P = 28%, so there is a 28% chance that if we take a sample of athletes, about 1 out of 4 times there won't be a significant difference in GPA between males and females.

Answer:

hope this helps!

Step-by-step explanation:

The solution set of the given system of equations y = 3x + 10 and 2y = 6x – 4 is empty, indicating that the lines are parallel and do not intersect.

To find the solution set of the system of equations y = 3x + 10 and 2y = 6x – 4, we can solve the equations simultaneously by substitution or elimination method.

Using the substitution method:

Therefore, the solution set of the system of equations y = 3x + 10 and 2y = 6x – 4 is empty, indicating that the lines represented by the equations do not intersect and are parallel.

Answer:

A = 53.13 degrees

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin A = 4/5

Take the inverse of each side

sin ^-1 sin A = sin ^-1 (4/5)

A = 53.13010

To the nearest hundredth

A = 53.13 degrees

Answer:

  4 units

Step-by-step explanation:

The sides of the rectangle are parallel to the axes, so it is a simple matter to subtract coordinate values to find the dimensions.

Along the line y=7, the rectangle extends from -5 to 5, so has width 10.

Along the line x=5, the rectangle extends from 1 to 7, so has length 6.

The width is 10 - 6 = 4 units more than the length.

Answer: width=7 length =9

9-7=2

2 is the answer

The scenario involves differentiating a proportional relationship between the woman's distance from a streetlight and the length of her shadow to determine the rate of change of the shadow's length and the speed of the shadow's tip.

The question involves finding the rates of change in the scenario where a woman walks toward a streetlight and the effects on her shadow's length and speed. Let's denote the distance between the woman and the streetlight as x, the length of her shadow as y, and her height as h. The streetlight's height is given as H. Using similar triangles, we can establish the relationship (H - h) / y = H / (x + y). Differentiating both sides with respect to time, t, allows us to calculate the rates of change we're interested in.

To find the rate of change of her shadow's length when she is 16 feet from the streetlight, we can take dh/dt as 0 since her height is constant, dx/dt as -4 ft/s because she is walking towards the light and substitute into the derived equation after differentiating. Similarly, we calculate the rate at which the tip of the shadow is moving by adding the rate of the woman's movement to the rate of change of the shadow's length.

Answer:

sample response He added instead of multiplying 20 and 6. The correct answer is 120 cubic inches.

Answer:

He added instead of multiplying 20 and 6. The correct answer is 120 cubic inches.

That is the correct answer

Step-by-step explanation: