Solve similar triangles

Solve for x
x=

Answer:

- 30.75 < x < - 29.25

Step-by-step explanation:

Inequalities of the type | x | < a , always have solutions of the form

- a < x < a

Given

| 0.2x + 6 | < 0.15, then

- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )

- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )

- 30.75 < x < - 29.25

To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.

To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:

Solving the first inequality for x:

0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25

Solving the second inequality for x:

0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75

Therefore, combining the two inequalities, we find the solution for x is:

-30.75 < x < -29.25.

Answer:

a)  6.

b)  0 (multiplicity 3), -5 (multiplicity 2) and 7/2.

c) and (d) - See below.

Step-by-step explanation:

(a)  f(x) = x^3(x + 5)^2 (2x - 7)

The highest degree of x  (= x^3*x^2*x) = 3+2+1 = 6.  

(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from  x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.

(C)  The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).

(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.

At the extreme ends this graph resembles the graph of -x^3.

Answer:

43.96 or c

Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless

Answer:

c. 9 inches

Plates and clocks are examples of circles.

Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.

1/10 or 10%.

First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.

4 NY + 3 PA + 3 VI = 10 total quarters.

So the total number of quarters becomes the denominator for the first probability, and the total number  of PA quarters becomes the numerator.

So the probability of Jim pulling out a PA quarter first is 3/10.

Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.

So the probability of Jim pulling out a VI quarter second is 3/9.

Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.

The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%

Answer:

10

Step-by-step explanation:

Common sense. (also I used Google)

Answer:

De Answer is ♥ 10 ♥

( If Wrong Den Me Sowwy )

Answer:

A) 5x + 4 = -54

B) 6(5/6x + 2/3) = -9(6)

C) 5x = -58

Step-by-step explanation:

Answer:

a b c

Step-by-step explanation:

Step-by-step explanation:

I hope this is what you need

PLEASE MAKE ME BRAINLIEST

Answer: 9 over 12 is = 15 over x

Step-by-step explanation:

Given:

Given that the side AB is parallel to side DE.

The length of AB is 15 feet.

The length of BC is 9 feet.

The length of CD is 6 feet.

The length of DE is x feet.

We need to determine the proportion that solves the distance between D and E.

Proportion:

The proportion that solves the distance between D and E can be determined by the similar triangle property.

Thus, we have;

[tex]\frac{BC}{CD}=\frac{AB}{DE}[/tex]

Substituting the values, we have;

[tex]\frac{9}{6}=\frac{15}{x}[/tex]

Thus, the proportion that solves the distance between D and E is [tex]\frac{9}{6}=\frac{15}{x}[/tex]

Answer:the answer is c

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

The answer is 91

Step-by-step explanation:

Answer:

V =718.0866 in^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

The radius is 3.3 and the height is 21

V = pi (3.3)^2 * 21

V = pi (10.89) (21)

V =pi 228.69

We can approximate pi by 3.14

V = 3.14(228.69)

V =718.0866 in^3

Answer:

A, (x, -y)

Step-by-step explanation:

When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.

Answer:

B. All of the time

Answer:

its canadian

Step-by-step explanation:

Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

Answer:

V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2). What expression represents the volume of the prism, in cubic units?

One-halfx3 + x2

One-halfx3 + Three-halves x2

x3 + x2

x3 + 3x2

My answer:

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: 1/2 *x*x = 1/2[tex]x^{2}[/tex]

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

V = the base area * the vertical height

<=> V = 1/2[tex]x^{2}[/tex] (x + 2)

<=> V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]

We choose A

Answer:

A

Step-by-step explanation:

Answer:

x = 2

y = 3

Step-by-step explanation:

y = 2x – 1

y - 2x = -1

y = 5x – 7

y - 5x = -7

y - 2x = -1

y - 5x = -7

_________--

3x = 6

x = 6/3

x = 2

y = 2x – 1

y = 2(2) - 1

y = 4 - 1

y = 3

[tex]x=2\\y=3[/tex]

Given -

[tex]y=2x-1\\y=5x-7[/tex]

So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].

[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]

Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].

[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]

Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].

Know more about the substitution method here:

https://brainly.com/question/22340165

#SPJ2

Step-by-step explanation:

Answer:

.92 euros

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

10:11 = 1:1.1

?:1

Euros = U.S Dollars - 0.10

0.90:1

Answer:

5 seconds is 1/12 of a minute

Step-by-step explanation:

60 seconds per minute so 5/60

5/60=1/12

5 seconds is 1/12 fraction of a minute.

Fraction is used to show the quantity of a part that makes up the whole number.

One minute is = 60seconds

Therefore 5 seconds= 5/60

= 1/12

This means that 1/12 of one minute is = 5 seconds.

Learn more about fraction here:

https://brainly.com/question/78672

Final answer:

To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.

Explanation:

When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.

For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:

Hourly wage: $15/hour x 8 hours = $120

Tips: $40

So, the total gross pay would be $120 + $40 = $160 for that day.

So, option b is correct.

Steps to solve:

c - 7x; c = 3, x = -5

~Substitute

3 - 7(-5)

~Multiply

3 - (-35)

~Simplify

3 + 35

~Add

38

Best of Luck!

Look at the attached picture⤴

Hope it will help u....

Final answer:

Jennifer is 66.3 inches tall; this is calculated by finding the z-score for the 70th percentile and using it with the mean and standard deviation of the population.

Explanation:

To determine how tall Jennifer is, given that she is taller than 70% of the population of U.S. women, we need to find the corresponding z-score that reflects the 70th percentile of a normal distribution, and then use it to calculate her height.

Firstly, using a standard normal distribution table or a calculator, we find the z-score that corresponds to the 70th percentile. Generally, this z-score is around 0.5244 (this can vary slightly depending on the table or technology used to find it). Now we apply the formula for converting a z-score to the actual score using the population mean and standard deviation:

Height = mean + (z-score × standard deviation)

Plugging in the values for the population mean and standard deviation:

Height = 65 + (0.5244 × 2.4)

Height = 65 + 1.2586

Height = 66.2586 inches

After rounding, we conclude that Jennifer is 66.3 inches tall.

In the given case, Jennifer's height is approximately 66.3 inches.

To find Jennifer's height, we need to find the z-score corresponding to the 70th percentile (as she is taller than 70% of the population) and then use that z-score to find her height.

The z-score formula is:

[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]

First, we find the z-score corresponding to the 70th percentile using a standard normal distribution table or calculator.

A z-score of approximately \(0.5244\) corresponds to the 70th percentile.

Now, we can use the z-score formula to find Jennifer's height x

[tex]\[ 0.5244 = \frac{x - 65}{2.4} \][/tex]

[tex]\[ x \approx 66.2586 \][/tex]

Rounded to one decimal place, Jennifer's height is approximately 66.3 inches.

Answer:

3.2 x 10^5

Step-by-step explanation:

Scientific Notation

3.2 x 10^4 = 32000

3.2 x 10^5 = 320000

Final answer:

The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.

Explanation:

To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.

For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.

Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.

Step-by-step explanation:

20x + 10 = 10 - 10x

Now bringing like terms on one side

20x + 10x = 10 - 10

30x = 0

x = - 30

Answer:

Step-by-step explanation:

-5(-4x-2)=-2(5-5x)

20x+10=-10+10x

20x-10x=-10-10

10x=-20

x=-2

Answer:

3 2/3

Step-by-step explanation:

Answer:2304

Step-by-step explanation:

All you have to do is 48x48, hope this helped you!