What is the value of X

Answer:

FD = 8

Step-by-step explanation:

since they are similar triangle .use these ratios to find FD

AB/DE = AC/FD

now substitute the values

6/x-3 = 12/x+1

do cross multiplication

12(x-3) = 6(x+1)

12x - 36 = 6x + 6

12x - 6x = 6 + 36

6x = 42

x = 42/6

x = 7

now substitute x

FD = x + 1

=7 + 1

=8

Answer:

A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level

Step-by-step explanation:

The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees

The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure

The 95% confidence interval obtained = (5.6, 10.2)

Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program

Answer:

[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]

Step-by-step explanation:

when the bases are the same, add exponents

Answer:

False

Step-by-step explanation:

You can't rely slowly upon induction to prove that your conclusion us correct.

Answer:

False

Explanation:

This is a false statement because it is the deductive reasoning where you can prove a specific conclusion with the help of many generalized principles that are known to be true.

Answer:

Jeff

Step-by-step explanation:

Answer:

Jeff had the greatest ratio

Step-by-step explanation:

First you would find the common denominator, which is 60.

Jeff - 40/60

Brad - 36/60

Zackary - 30/60

Jeff has the highest ratio and Zackary has the lowest.

Answer:

x=30

Step-by-step explanation:

Since this a regular hexagon, each angle measure is congruent.

A hexagon interior angles add to be

([tex]{6 - 2}) \times 180 = 720[/tex]

However, in the triangle, only part of angle b and angle f is in the triangle. However angle a is fully in the triangle so

Angle A=120.

So using the triangle interior theorem, angle b and f must add up to 180.

[tex]120 + x + y = 180[/tex]

However, since this is a regular hexagon, the sides are equal so this is a isoceles triangle.

Using the base isoceles triangle theorem, angle b and angle f of the triangle must be equal so

[tex]x = y[/tex]

[tex]120 + 2x = 180[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

Answer:

In picture

Step-by-step explanation:

I hope I understand the question, and hope this is what your teacher wants.

Please give brainliest if it is the answer you need, thanks!

Answer:

64

Step-by-step explanation: In order to find the amount of action figures needed to complete your collection, you divide 48 by 75%. This gives us 64. The reason we divide, is because of inverse operations. If we are going to find 75% of 48, you would multiply 48 by .75. Since this is the opposite, we must divide it.

Also, I'm not quite sure what the question is requesting by asking for what 2 represents. What is the specific skill you are learning in class? Maybe that'll help us figure it out.

I hope this makes since. Let me know if you need further explanation.

Answer:

[tex]2 \ \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]−2 \frac{1}{3} −(−5) \\ =− \frac{7}{3} −(−5) \\ = \frac{ - 7}{3} −(−5)

\\ = \frac{8}{3} \\ =2 \ \frac{2}{3} [/tex]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]

Plug in known values

[tex]\frac{2}{300}=\frac{11}{AC}[/tex]

Cross-multiply

[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

Answer:

Given:

Initial mass = 18 g

k-value = 0.1226

The mass at time t (days) is

At half life, m = 18/2 = 9 g.

The time for half life is given by

Therefore

ln(1/2) = -0.1226t

Hence obtain

t = ln(1/2) / -0.1226

 = 5.654 days

Answer: 5.7 days (nearest tenth)

or

For this problem, we use the formula for radioactive decay which is expressed as follows:

An = Aoe^-kt

where An is the amount left after time t, Ao is the initial amount and k is a constant.

We calculate as follows:

A0 = 18

An = 18/2 = 9

k = 0.125

9 = 18 e^-0.125t

0.5 = e^-0.125t

t = 5.55 days

Answer:

60

Step-by-step explanation:

There are 12 months in a year, so 5 years×12 months=60 months.

**You may wish to revise multiplication or the calendar year. I'm always happy to help

Answer:

60

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

The answer is D.

Step-by-step explanation:

Answer:

How many people in the survey were Californians?

- 250

Yes, because 50% of Californians support candidate X, but only 40% of all people support him.

Yes, because 62.5% of people who support candidate X and 50% of Californians do not support candidate X.

Answer:

-100

Step-by-step explanation:

Answer:

b = -4

Step-by-step explanation:

multiply both sides by 3 to get:

4b-8 = 6b

-8 = 6b-4b

-8 = 2b

-8/2 = b

-4 = b

Answer:

the ans has to be 6.........

Answer:

AA cuz u have all the angles

Step-by-step explanation:

Insta: lankey.t

Answer:

yes

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

there is a total of 12 people

6/12 people have red hair

if you simplify, it is 1/2

therefore there would be a 1/2 chance that someone with red hair would be chosen.

Answer:

624,600

Step-by-step explanation:

624,612

612 rounds to 600

624,600

Answer:

624,600

Step by step explanatiom:

cause math

Answer:

x, y = 0.10

Step-by-step explanation:

Given:

Renee has dimes and quarters in her wallet that total $1.60.

She has 2 more dimes than quarters.

To find:

The number of each type of coins.

Solution:

Let x be the number of dimes and y be the number of quarters.

She has 2 more dimes than quarters. So,

[tex]x=y+2[/tex]            ...(i)

We know that,

1 dime = $0.10

1 quarter = $0.25

Renee has dimes and quarters in her wallet that total $1.60. So,

[tex]0.10x+0.25y=1.60[/tex]              ...(ii)

From (i) and (ii), we get

[tex]0.10(y+2)+0.25y=1.60[/tex]

[tex]0.10y+0.20+0.25y=1.60[/tex]

[tex]0.35y=1.60-0.20[/tex]

[tex]0.35y=1.40[/tex]

Divide both sides by 0.35.

[tex]y=\dfrac{1.40}{0.35}[/tex]

[tex]y=4[/tex]

Substituting [tex]y=4[/tex] in (i), we get

[tex]x=4+2[/tex]

[tex]x=6[/tex]

Therefore, the number of dimes is 6 and the number of quarters is 4.

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

Explanation:

A = {1,2,3}

B = {2,3,5}

A u B = {1,2,3,5}

The set A u B consists of anything in either set A or set B. This is a set union.

The complement of this is the complete opposite. So we only consider the items 4 & 6

(A u B)' = {4,6}

Note that sets AuB and (AuB)' can be unioned together to end up with the universal set U. Be sure not to mix up the universal set notation U with the union symbol 'u'

The last step is to see what sets (AuB)' and set C have in common. That would be 4 and 6 since both values are found in both sets

Therefore, (A u B)' n C = {4, 6}

The n refers to the intersection symbol.

Answer:

{-2, -1 , 3}

Step-by-step explanation:

When we have a set like:

{x₁, x₂, x₃}

The mode is the value that appears the most, so if there is no mode, then each value appears just one time.

The median is the middle value, here we know that the median is -1, then we can rewrite the set as:

{x₁, -1 , x₃}

The mean is computed as:

Mean = (x₁ + x₂ + x₃)/3

in this case we know that the mean is 0, then:

0 =  (x₁ + x₂ + x₃)/3

then the numerator must be zero, so:

0 =  (x₁ + x₂ + x₃)

replacing the value of x₂ = -1 we get:

0 = (x₁ - 1 + x₃)

where:

-5 < x₁ < -1 < x₃ ≤ 3

Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.

here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).

then:

0 = x₁ - 1 + 3

Now we can solve this for x₁

0 = x₁ + 2

-2 = x₁

Then the set is:

{-2, -1 , 3}

Answer:

B. JK=101

Step-by-step explanation:

39.5 times 2= length of KH

KH=79

JH=180 degrees

JH-KH=JK

180-79=101

Step-by-step explanation:

-2-2