how many right angles in trapezoids

[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]

[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]

Answer: 1/2 or 50%

Step-by-step explanation:        

A dice has 6 numbers; 1,2,3,4,5,6

3 of which are odd numbers

which means:

p(event)= number of favorable outcomes/ number of possible outcomes

p(odd)=3/6

3/6=1/2 or 50%

Answer:

⇒855cm²

Step-by-step explanation:

→Solution,

Diameter(d)=33cm

Radius(r)=d/2=33cm/2=16.5cm

Now,

Area=πr²

Area=3.14×(16.5cm)²

Area=854.865cm²=855cm²

without further ado

10% of 36000 is simply 3600, we chopped a "0" off of it hmmm, ok so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3600\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases} \\\\\\ A=3600\left(1+\frac{0.0625}{4}\right)^{4\cdot 15}\implies A=3600(1.015625)^{60}\implies A\approx 9126.53[/tex]

Answer:1)x =-30

2)x=-30

Step-by-step explanation: 1:  2(3x+5)=5(x-4) ( remove the parenthesis)

then 6x+-5x=-20x-10 (collect the like trems calulate) so (-20 and -20 on each side) the x=-20-10.

 2: 6x+10=5x-20 (move the like trems) so move the variable to the left hand side and change its sign like this 6x+10-5x=-20

6x-5x=-20-10

x=-20-10 which it ='s  x=-30

follow my TT at yvngxmiia

Solving Stepwise:

Additional Explanation

Distributive property:

symmetric property of equality:

subtraction property of equality:

closure property:

division property of equality:

Answer:

y=45°

x=75°

z=60°

Step-by-step explanation:

hard to explain, but I'll try my best. on a single line, it equals 180 when both angles are added up. and the opposite side of an angle is always the same.

5x-9 means

9 less than the product of a number and 5

5 times x minus 9

the product of 5 and a number minus 9

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

6+6+8+14=34 all you need to do is add them I think

Step-by-step explanation:

4x - 96 = 0

4x = 96

x = 96/4

x = 24

Hope it helps you :)

Answer:

10 and 11

[tex]10 \times 11 = 110[/tex]

[tex]10 + 11 = 21[/tex]

Answer:

The money

Step-by-step explanation:

The drive to the farmers market is a certain distance away, which costs him a specific amount of money. If the distance were to change, then so would the price it took to get there per week. Additionally, as the amount of boxes increases, so does the price.

A dependent variable is a variable that directly changes as the independent variable(s) change. In this scenario, the money, or cost is what's changing based on other factors.

hope this helps :)

Answer:

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

Step-by-step explanation:

Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].

[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]

2) Solve it. Simplify it if possible.

[tex]m = \frac{3 }{-9}[/tex]

Simplified: [tex]m = \frac{1 }{-3 }[/tex]

3) Plug the result into [tex]y = mx + b[/tex].

[tex]y = \frac{1}{-3} x + b[/tex]

4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].

[tex]6 = \frac{1}{-3}(0) + b[/tex]

[tex]6 = 0 + b[/tex]

[tex]6 - 0 = b[/tex]

[tex]6 = b[/tex]

5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].

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

The negative situated in the denominator can be genaralised to the fraction.

Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].

Answer:

a=96

b=42

c=138

Step-by-step explanation:

as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138

Answer:

The correct answer would be $495 per hour

Step-by-step explanation:

The equation would be

450 divided by 10= 45

=450+45=495

= $495

Answer:

a45 = 320

Step-by-step explanation:

The 45th term of the Arithmetic Sequence will be 355.

We have a Arithmetic Sequence with a = 3 and d = 8.

We have to determine the 45th term of this sequence.

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

According to the question -

a = 3

d = 8

n = 45

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a(45) = 3 + (45 - 1)8

a(45) = 3 + 44 x 8

a(45) = 3 + 352

a(45) = 355

Hence, the 45th term of the Arithmetic Sequence will be 355.

To solve more questions on Arithmetic Sequences, visit the link below-

https://brainly.com/question/19828148

#SPJ2

Answer:

2

Step-by-step explanation:

so if you take away 14 by 2 =12 and 12 divided by 6= 2

Answer:

each candy bar cost 2 dollars

Step-by-step explanation:

The total cost of the item at the value of $25 and a tax of 7% is $26.75

Given Data

We have the given expression to find the total cost which is

Total = c + 0.07c

Substituting our given data into the expression we have

Total = 25 + 0.07*25

Total = 25 + 1.75

Total = $26.75

Learn more about total cost here:

https://brainly.com/question/25109150

Answer:

the cost of 9 articles is 40.5

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

88.60 + 64.65 = 153.25

Answer:

64.65

Step-by-step explanation:

153.25 - 88.60 = 64.65

64.65 + 88.60 = 153.25

Answer:

D=9×30 and B=4x+20°=9.-30 B a 420

The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.

The slope of the capital market line will be:

= (17% - 7% - f)/27

= (10% - f)/27

f = 0.3771

The slope of the capital allocation line will be:

= (13% - 7%) / 25%

= 0.24

The reward to variability ratio will be:

= (17 -7)/27

= 0.3771

The client's reward to variability ratio will be:

= (13 - 7)/25

= 0.25

This shows that the client will be disadvantaged of the switch since it's lower.

Learn more about capital on:

https://brainly.com/question/25672041

Answer:

3.5in

Step-by-step explanation:

so what i would do is i would divide 218.75 by 62.5

218.75/62.5= 3.5

3.5 in= 218.75 mi

hope that hepls :)

Step-by-step explanation:

13. 15² = 12² + ?²

225 - 144 = ?²

? = √81

? = 9 feet

16. D. Regular Hexagon

67 miles

On Monday, Jullo ran 39 miles.

On Tuesday, he ran 24 miles.

On Wednesday, he ran 4 miles.

Finding the total miles:

Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4

                                                                                            = 67 miles

Answer:

Step-by-step explanation:

The g-intercept is the point where the function graph crosses the vertical axis. The value there is g(0). It is found by evaluating the function when n=0.

  g(0) = (0 -6)(0 +4)(0 -2) = (-6)(4)(-2) = 48

The g-intercept is (0, 48).

__

The n-intercepts are the points where the function graph crosses the horizontal axis. These are the values of n that make g(n) = 0. For each of the binomial factors, that value of n will be the value that makes the factor 0:

  n -6 = 0   ⇒   n = 6

  n +4 = 0   ⇒   n = -4

  n -2 = 0   ⇒   n = 2

The n-intercepts are (6, 0), (-4, 0), and (2, 0).

Answer:

g intercepts: 48

n intercepts: 6, -4, 2

Step-by-step explanation:
Part 1:

To find the g intercepts, set n to 0 everywhere.

You then get:

g(0) = (-6)*(4)*(-2)

g(0) = 48

Part 2:

To find the n intercepts, set g to 0.

You then get:

(n-6) * (n+4) * (n-2) = 0

Solve for n in each part seperately to find all intercepts:

n-6 = 0  ->  n = 6

n+4 = 0  ->  n = -4

n-2 = 0 -> n = 2

Answer:

1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.

Step-by-step explanation:

Simply check each number of books over the total than see if it matches the percentage assumed.

Fantasy over total books = 15/90 which is 1/6 So that is correct

Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.

Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.

And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.

Hope this helps, and please mark me brainliest!

Answer:

The domain is all real numbers greater than or equal to 4, and the range is all real numbers

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

x+y = -10       or     y = -10 - x

substitute this into the second equation

x      -    y    = 2

x      -  (-10-x) = 2

2x + 10 = 2

2x = -8

x = - 4