Look at picture. Angle AEC is congruent to angle BDC because right angles are congruent. Angle ECA is congruent to angle DCB because vertical angles are congruent. to prove that triangle AEC ~ triangle BDC, we use AA postulate. The distance represented by x is __ ft. (Simplify your answer.)

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

----------------------------------------------------------------------------------------------------

Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

----------------------------------------------------------------------------------------------------

So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

----------------------------------------------------------------------------------------------------

Hope this is what you were looking for and helps you! Have a nice day/night :)

9514 1404 393

Answer:

  E.  16

Step-by-step explanation:

If the order of points on the line is ABCD, the distance between A and D is ...

  AB +BC +CD = 5 + 9 + 3 = 17

If the order of points on the line is BADC, the distance between A and D is ...

  BC -BA -DC = 9 -5 -3 = 1

Then the difference between the longest and shortest possible distances AD is ...

  17 - 1 = 16 . . . . matches choice E

Answer:

Step-by-step explanation: first you have to divide to get your answer

98.85/20%= $494.25 is ur answer

The mean of the given sequence is 7, the median is 8 and the mode is 10.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = [1, 2, 2, 3, 3, 3,..., 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]/ 55

Mean = 385 / 55

Mean = 7

Median represents the middle value of the given data when arranged in a particular order so,

Here the median is 8.

Mode is that number that appears most frequently in the given set of data which is 10.

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ2

Answer:

coolshirts.com will sell the t shirts for %7.5

Explaination:

the company pays 2.50 to make the shirt and has a 300% mark up.

300% as a decimal is 3 and then you just multiply 2.50 by 3 to get 7.5

Answer:

Step-by-step explanation:

The slope:     [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2[/tex]

y = mx + b    ←  slope intercept form

(8, 8)   ⇒   x = 8,  y = 8

so:

8 = 2·8 + b

b = - 8

The equation: y = 2x - 8

Answer:

Step-by-step explanation:

List all of the solutions.

x =

0 =

1 =

2 =

3 =

y =

3 =

4 =

7 =

12 =

Answer:

X is 28

Step-by-step explanation:

All angles in a triangle ad up to 180 degrees.

85 + 67=152

180-152=28.

Hope it helped.

Answer:

28

Step-by-step explanation:

All triangles equal 180.

85+67=152

180-152=28

Your answer is 28

9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

Answer:

9ft. 2in.

Step-by-step explanation:

17ft. 5in. = 209in.

8ft. 3in. = 99in.

209in. - 99in. = 110in.

110 in. = 9 ft. 2 in.

Answer:

A

Step-by-step explanation:

Consecutive angles are supplementary, sum to 180° , then

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20 → A

the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.

Answer:

The three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Step-by-step explanation:

1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root

We can write the quadratic equation as follows;

x² + 3 = 0

∴ x = √(-3) = √(-1) ×√3 = i·√(3)

Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0

2) A quadratic that has 1 real root is of the form;

(x + 1)² = 0

The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²

Which gives;

(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0

Therefore, the quadratic (x + 1)² = 0 has only one real root

3) A quadratic that has 2 real root is of the form;

(x + 1)·(x + 2) = 0

x² + x + 2·x + 2 = 0

x² + 3·x + 2 = 0

Therefore, the three quadratic equations are;

x² + 3 = 0

x² + 2·x + 1 = 0

x² + 3·x + 2 = 0

Answer:

y=3/2x-3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:

y = mx + b

Where m is the slope, b is the intercept, and y & x are two data points from the graph.

Answer:

29.9 times or approximately 30 times

Step-by-step explanation:

[tex]\pi d[/tex]

3.14×0.5

=1.57

so, 47/1.57

=29.9363057325

Answer: 27 ft

Step-by-step explanation:

Given

the angle of elevation is [tex]\theta =4^{\circ}[/tex]

Length of track is [tex]L=387\ ft[/tex]

Vertical rise is given by

[tex]\Rightarrow \sin (4^{\circ})=\dfrac{H}{387}\\\\\Rightarrow H=387\sin (4^{\circ})=26.99\approx 27\ ft[/tex]

Answer:

letter b. hope it helps!! :)

Answer: A = -7

Step-by-step explanation: -6 x -7 = 42. Hope this helps :)

Answer:

Height of the tree is [tex]37.88[/tex] feet

Step-by-step explanation:

The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.

Height of the tree [tex]= 5 + X[/tex]

[tex]tan \Theta =[/tex] Perpendicular / Base

[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]

Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet

Answer:

37 - 22 =  WC height

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

All angles on a triangle add up to 180 degrees so 180-(65+71) will give you 44

Answer:

Well, if y is 1

Then the equation would be y = 1 (2x)

So, depending on the answer options. Y would be double of whatever the X value is.

See how 1 X value is worth 2 Y?

Example Attached