Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true? A line has points A, D, B, K, C. AD = One-thirdAC AC = 4DB AB + DC = AC BK = KC

Answer:

91

Step-by-step explanation:

(2 + 5)(8 +5)

2 + 5 = 7

8 + 5 = 13

7 * 13 = 91

Answer:

f^-1(x) = ln(x - 7)

Step-by-step explanation:

f(x) = e^x + 7

y = e^x + 7

x = e^y + 7

e^y = x - 7

ln(e^y) = ln(x - 7)

y = ln(x - 7)

f^-1(x) = ln(x - 7)

Answer:

6(2x-9)

Step-by-step explanation:

The two numbers in question are both even, so we can see that we can pull out 2, giving us:

2(6x -27)

Looking at this, we can see that we can no longer pull out 2, but we can pull out 3, giving us:

6(2x-9)

This can be simplified no further, so this gives us the final answer, where the GCF is 6.

Answer:

77.4

Step-by-step explanation:

The first term, a, of the series is 3.

It is a geometric progression, so we can calculate the common ratio, r:

3.75 / 3 = 1.25

The sum of n terms of a geometric progression is given as:

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

where n =  number of terms considered

The sum of the first 9 terms will therefore be:

[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]

Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Step-by-step explanation:

A line is a one-dimensional figure, it has no thickness.

For reference,  point is zero dimesional, a plane is twodimensional.

Then the correct answer would be:

A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

Step-by-step explanation:

In Triangles WUV and XZY:

[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]

Therefore:

[tex]\triangle UWV \cong \triangle XZY[/tex]

To show that the triangles are similar by the SSS similarity theorem, we have:

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

As a check:

[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]

The correct option is A.

Answer:

answer is a

Step-by-step explanation:

Answer:

13+20+13+15+24/5

85/5

=17

Answer:

17 points

Step-by-step explanation:

Mean = total scores/number of games

Mean = (13 + 20 + 13 + 15 + 24) / 5

Mean = 85 / 5

Mean = 17 points

Answer:

1215

5×3,15×3,45×3,135×3,405×3=1215

Answer:

x = [tex]\frac{15}{8}[/tex]

OR

x = [tex]1 \frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} = \frac{5}{8}[/tex]

Cross Multiplying

x × 8 = 5 × 3

8x = 15

Dividing both sides by 8

x = [tex]\frac{15}{8}[/tex]

OR

x = [tex]1 \frac{7}{8}[/tex]

Answer:

The name of the point is the circumcenter of the triangle

Step-by-step explanation:

The pool will be built at a point which is equidistant from the three points.

This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.

The name of this point is called the CIRCUMCENTER of the triangle

The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case

Answer:

27/35 is the exact answer

7/10 is an estimate

Step-by-step explanation:

4/7+2/10

Simplify the fraction

4/7+1/5

The common denominator is 35

4/7*5/5 + 1/5 *7/7

20/35 + 7/35

27/35

To estimate

4/7 is close to 1/2  

2/10 is close is 1/5

1/2 + 1/5 =

5/10 + 2/10 = 7/10

Answer:

B. Yes, because it does not have a constant rate of change.

Step-by-step explanation:

For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.

Answer:

42000

Step-by-step explanation:

First of all, we need to find 20 percent of 35000.

35000×20 / 100 = 7000

now we increase the bed cost by 20 percent.

35000 + 7000 = 42000

Answer:

5000

Step-by-step explanation:

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]

Answer:

5 ( r+8) (r-6)

Step-by-step explanation:

5r^2+10r-240

First factor out the greatest common factor

5( r^2 +2r - 48)

Now factor what is inside the parentheses

What multiplies to -48 and adds to 2

8*-6 = -48

8-6 = 2

5 ( r+8) (r-6)

Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential decay function:  

A = P (1 - r) t  

Where:  

p = original price

r = decrease rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A(t)=145(0.95)t.

Where

0.95 = 1-r

0.95-1 = r

-0.05 =-r

0.05 =r

Converting to percentage form:

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.  

Answer:

6 is the answer

Answer:

792

Step-by-step explanation:

mark me brainliest!

12*11*6=792

v=l*w*h

*= times

Answer:

the answer may be 127.

Step-by-step explanation:when you add 90° + 37° you will get the answer 127

I am not sure.

Answer:

The answer is Point A is equal to (8,0) and Point B is (26,-20) and point C would be (16,-16) and point D would be (8,-30)

Step-by-step explanation:

Answer:

1/3 I think I am not sure tho.

btw I know st math I used to do that to! LOL!

Step-by-step explanation:

If I am please mark me BRAINLIEST!

Answer:

Step-by-step explanation:

Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

d² = 10² + 10² = 200

d = √200 = 14.14cm

Formula for finding the volume of a sphere is expressed as

Volume = 4/3 × π × r³

Radius of sphere = diameter/2 = 14.14/2 = 7.07cm

Volume = 4/3 × π × 7.07³ = 471.19π cm³

.

[tex]the \: value \: of \: x \: is \: - 1. \\ the \: value \: of \: y \: is \: 4 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

A= 30 years old

B= 20 years old

Step-by-step explanation:

Let the present age of A be x years old.

Since the sum of the present ages of A and B is 60 years,

present age of B= (60-x) years old

In 5 years

A= x +5

B= 60 -x +5= 65-x

Since the ratio of A:B= 4:3,

A would represent 4 units and B would represent 3 units.

Thus [tex]\frac{3}{4}[/tex]A=B

[tex]\frac{3}{4}[/tex](x+5)= 65 -x

[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]

Thus, present age of A

= x

= 35 years old

present age of B

= 60 -x

= 60 -35

= 25 years old

5 years ago

A= 35 -5= 30 years old

B= 25 -5= 20 years old

* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.

Answer:

x = 24

Step-by-step explanation:

y=  -16

-16 x 6 = -96

y= -96

x= 4

4 x 6 = 24

x=24

Answer:

3x - 5

Step-by-step explanation:

divide both numbers by -2

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.24

For the alternative hypothesis,

p ≠ 0.24

This is a two tailed test

Considering the population proportion, probability of success, p = 0.24

q = probability of failure = 1 - p

q = 1 - 0.24 = 0.76

Considering the sample,

Sample proportion, P = r/n

Where

r = 12

n = 52

P = 12/52 = 0.23

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17

Recall, population proportion, P = 0.24

The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23

the p for the right tail is 0.24 + 0.01 = 0.25

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.43

We would double this area to include the area in the right tail of z = 0.17 Thus

p = 0.43 × 2 = 0.86

The level of significance is 5%

Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.