5. Are the two triangles shown below similar? If so, name the value of the scale factor.

A. no, these triangles are not similar
B. yes, these are similar. the scale factor is 0.8.
C. yes, these are similar. the scale factor is 0.4.
D. yes, these are similar. the scale factor is 0.6.

Answer:

  3(x+2)/(2(x+4))

Step-by-step explanation:

A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.

__

  [tex]\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}[/tex]

Answer:

First and second are both true.

Third and fourth are not true.

Step-by-step explanation:

4−2(3+7)=4−2⋅3−2⋅7

4−2(3+7)= 4 - 2(3+7)  [  -2*3 - 2*7 :  the -2 can be removed from -2*3-2*7 to make -2(3 + 7); communative]  This results in 4-2(3+7), the same on the left side

4−2(3+7)=4+−2⋅3+−2⋅7

The (4+-2*3+-2*7) can be written as (4-2*3-2*7) to simplify the "-+" to simply "-".  That can be written as 4 - 2(3+7), the same as on the left side.

4−2(3+7)=4−2⋅3+2⋅7

4−2(3+7)=4−(2⋅3+2⋅7)

Answer:

don't worry about this question

Answer:

x = 3.748

Step-by-step explanation:

this problem requires logs

[tex]log_{7} 30 = x-2[/tex]

x = 2 + log_7 (30) or 3.7479

Answer:

Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding.

Answer:

The answer is B :)

Step-by-step explanation:

The closed dot means less than or equal to. That is why b is correct :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

no a, is the answer not b. salamat po

Answer:

Θ ≈ 98.5° , 261.5°

Step-by-step explanation:

using the identity

cosΘ = [tex]\frac{1}{sec0}[/tex] , then

cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483

since cosΘ < 0 then Θ is in 2nd and 3rd quadrants

Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant

related acute angle = 180° - 98.5° = 81.5° , then

Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant

Answer:

c) 80⁰

isosceles triangle, two sides and angels are equal.

Step-by-step explanation:

180⁰= full triangle

80⁰+20⁰=100⁰

180-100=80⁰

Answer:

31

the difference between the numbers is the number, plus 2, so for example, the difference between 7 and 10 is 3, add two and you have 5, and ten plus 5 equals 15.  Using this formula, we have 5+2=7, which is 15+7=22.  For the missing number, we have 7 (the last number used) +2=9, so, 22+9=31.

Step-by-step explanation:

im kinda bad at explaining things, but i really hoped this helped :)

Answer:

Perpendicular.

Step-by-step explanation:

Two lines that come together and form 4 angles are known as perpendicular lines.

Answer:

32 unit is your correct answer

Answer:

Step-by-step explanation:

the answer is 32

If h⁻¹(x) is the inverse of h(x), then by definition of inverse function,

h(h⁻¹(x)) = x

Given that h(x) = 6∛(2x + 5) - 1, we have

h(h⁻¹(x)) = 6∛(2 h⁻¹(x) + 5) - 1 = x

Solve for h⁻¹(x) :

6∛(2 h⁻¹(x) + 5) - 1 = x

6∛(2 h⁻¹(x) + 5) = x + 1

∛(2 h⁻¹(x) + 5) = (x + 1)/6

[∛(2 h⁻¹(x) + 5)]³ = [(x + 1)/6]³

2 h⁻¹(x) + 5 = (x + 1)³/216

2 h⁻¹(x) = (x + 1)³/216 - 5

h⁻¹(x) = (x + 1)³/432 - 5/2

Answer:

A. 1/5

Step-by-step explanation:

First, you do 6 and divide it by 5. 6 divided by 5 is 1/2. 1/5 times 6 equals 1/2.

Answer:

See below

Step-by-step explanation:

Circumference = pi * d =  18 pi inches

Area = pi r^2     = pi * 9^2 = 81 pi  in^2

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

[tex]y=2^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

[tex]y=2(5)^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

[tex]y=(5)^x+2[/tex]

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

https://brainly.com/question/2264373

Answer:

D ) y = 5^x + 2

Step-by-step explanation:

Here ya go ladies and gentlemen

Answer:

19   23  

Step-by-step explanation:

19 and  23  are the only primes in her range

Answer:

I=$48

t=2 years

r=8%

Principal=(I×100)/(t×r)

($48×100)/(2×8)

$4800/16

$300

[tex]~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }[/tex]

Answer:

4.5 meters high

Step-by-step explanation:

3.6 + 2.25 = 5.85. 5.85 divided by 1.3 is 4.5.

Check the picture below.

Answer:

136m

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = L · W · H

We can take the given values and multiply them to find our answer.

L = 2

W = 2

H = 34

2x2x34 = 136

The volume of the rectangular prism will be 136 cubic meters.

A rectangular prism is a solid three-dimensional shape with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.

Given that a right rectangular prism has a square base, with sides that are each 2 meters in length. The height of the prism is 34 meters.

The formula for the volume of a rectangular prism is V = L · W · H

We can take the given values and multiply them to find our answer.

L = 2

W = 2

H = 34

The volume of the prism will be calculated as,

V = 2x2x34

V = 136 cubic meters

To know more about rectangular prism follow

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Answer: Phillip has 262 more cards than Nicholas

Step-by-step explanation:

Since we are looking for how many more cards Phillip has compared to Nicholas we can subtract Nicholas' amount from Phillip's amount to see how much more he has.

721-459=262

Taking a simple difference, we can see that Phillip has _262_

more cards than Nicholas.

To find this, we need to take the difference between the number of cards that Philip has and the number of cards that Nicholas has, so we just need to solve a subtraction:

Phillip's cards - Nicholas' cards

Where:

Phillip's cards = 721

Nicholas' cards = 459

Then the difference is:

721 - 459 = 262

So we can see that Phillip has 262 more cards than Nicholas.

Learn more about differences at.

https://brainly.com/question/17695139

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Answer:

Step-by-step explanation:

Let the required number be 'n'.

Then, we need to find what the value of n is.

According to the question,

Multiply both sides by 1/7.

Using proportions, it is found that since 43% of the total amount is 129, 300 students were surveyed in total.

A proportion is a fraction of a total amount.

In this problem, since 57% of the students surveyed said their favorite color was blue, hence 100 - 57 = 43% said it was red, and this amount is of 129 students, hence:

0.43n = 129

n = 129/0.43.

n = 300.

300 students were surveyed in total.

More can be learned about proportions at https://brainly.com/question/27396612

Answer:

0.57888

Step-by-step explanation:

0.24

2.412

----------

0.57888

Hope I helped

Answer:

A. 75 in³

Step-by-step explanation:

[tex]volume = \frac{1}{3} \times \pi \: {r}^{2} \: h = \frac{1}{3} \times \pi \times { 3}^{2} \times 8 = 75.4[/tex]

The additive inverse of the given polynomial is

-f(x,y)=-9xy^2+6x^2y-5x^3

You have the polynomial f(x,y)=-9xy^2+6x^2y-5x^3.

Additive inverse means changing the sign of the number and adding it to the original number to get an answer equal to 0.

The additive inverse of a polynomial f(x,y) is a polynomial that makes zero when it is added to polynomial f(x,y).

So additive inverse of polynomial f(x,y) will be -f(x,y).

Thus, the additive inverse will be

-f(x,y)=-9xy^2+6x^2y-5x^3

To learn more about the additive inverse visit:

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Answer:

D

Step-by-step explanation: