Write an equation through: (-1, 2)and (0, -1)

Answer:

x = 13

m<RST = 155°

m<RSU = 102°

Step-by-step explanation:

m<RST = (12x - 1)°

m<RSU = (9x - 15)°

m<UST = 53°

m<UST + m<RSU = m<RST (angle addition postulate)

53 + (9x - 15) = (12x - 1) (substitution)

Solve for x

53 + 9x - 15 = 12x - 1

53 - 15 + 9x = 12x - 1

38 + 9x = 12x - 1

Subtract 12x from each side

38 + 9x - 12x = 12x - 1 - 12x

38 - 3x = - 1

Subtract 38 from each side

38 - 3x - 38 = -1 - 38

-3x = -39

Divide both sides by -3

x = 13

m<RST = (12x - 1)°

Plug in the value of x

m<RST = 12(13) - 1 = 156 - 1 = 155°

m<RSU = (9x - 15)°

m<RSU = 9(13)x - 15 = 117 - 15 = 102°

The measures of each angle are:

m<RSU = 102°

m<RST = 155°

m<UST = 53°

The given parameters are:

m<RST  =  (12x  -  1)°

m<RSU =  (9x - 15)°

m<UST =   53°

Note that:

m<RST  =  m<RSU  +  m<UST

Substitute m<RST  =  12x  -  1, m<RSU =  9x - 15, and m<UST =   53 into the equation above in order to solve for x

m<RST  =  m<RSU  +  m<UST

12x - 1  =  9x - 15   +  53

12x - 9x  =  -15 + 53 + 1

3x   =  39

x  =  39/3

x  =  13

To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1

m<RST = 12(13) - 1

m<RST = 155°

To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15

m<RSU = 9(13) - 15

m<RSU = 102°

Learn more on angles here: https://brainly.com/question/14362353

Answer:

geometric progression

Step-by-step explanation:

RICHIE! ANSWER MY COMMENTS!

Answer:

40

Step-by-step explanation:

[tex] \frac{q}{10} = 4[/tex]

..

Convert element into fraction :4=4/1

[tex] \frac{q}{10} = \frac{4}{1} [/tex]

cross multiply

[tex]q = 10 \times 4 \\ q = 40[/tex]

Answer:

q=40

Step-by-step explanation:

[tex]\frac{q}{10}=4\\10(\frac{q}{10})=4(10)\\q=40[/tex]

Answer:

{x!=0, sqrt((1764 x^20)/(36 x^4))} = {x!=0, 7 sqrt(x^16)} thus: 7x^16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

We are given the expression:

[tex]5w+1p[/tex]

and asked to evaluate for w=3 and p= -6. Therefore, we must substitute 3 in for w and -6 in for p.

[tex]5(3)+1(-6)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Multiply 5 and 3.

⇒ 5*3=15

[tex]15+1(-6)[/tex]

Multiply 1 and -6.

⇒1*-6= -6

[tex]15 + -6[/tex]

Add 15 and -6.

⇒ 15 + -6= 15-6= 9

[tex]9\\[/tex]

The expression 5w+1p when evaluated for w=3 and p= -6 is 9

Answer:

if the polling were done during working hours, those who work outside the home would not be included-undercoverage of the groupe. the 60% is probably higher than the true population proportion. face-to-face visits might make those at home likely to say they would volunteer.  

Step-by-step explanation:

Answer:

2:4

Step-by-step explanation:

Answer:

D. Wealth tax

Step-by-step explanation:

The gift comes under the category of wealth tax. Then the correct option is D.

The entire or market worth of personal assets was subject to a wealth tax. Wealth tax, also known as capital tax or equity tax, was levied on the wealthy.

Specifically defined assets were subject to the wealth tax, including gifts, automobiles, jewelry, bullion, yachts, boats, and airplanes (save those used for business purposes), urban land, and cash in hand over a certain sum.

More about the Wealth-tax link is given below.

https://brainly.com/question/2420102

#SPJ2

Answer:

I think it might be the top left one.

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

By cyclic quadrilateral theorem:

[tex](180 \degree - 85 \degree) = \frac{1}{2} (z \degree + 64 \degree) \\ 95 \degree \times 2 = z \degree + 64 \degree \\ 190 \degree = z \degree + 64 \degree \\ 190 \degree - 64 \degree = z \degree \\ 126\degree = z \degree \\ z = 126[/tex]

Answer:

33

Step-by-step explanation:

f(x) = 4x-3

Let x= 9

f(9) = 4*9 -3

     36-3

     33

Answer:

[tex]\Huge \boxed{{x=3}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

f(x) = 4x - 3

f(x) = 9

Substituting.

9 = 4x - 3

Adding 3 to both sides.

12 = 4x

Dividing both sides by 4.

3 = x

[tex]\rule[225]{225}{2}[/tex]

Answer:

I'm pretty sure its C.

Step-by-step explanation:

( -6, 4 ), ( -6, -2 ) the x stays the same but the y goes down by 6 points.

( 3, 4 ) if you subtract 6 from 4 you get -2 making the next coordinate ( 3, -2 ) or C.

Hopefully this isn't too late! :)

Answer:

Time=2800 seconds.

Time in minutes= 46.67 minutes

Time in hours= 0.778 hours

Step-by-step explanation:

Distance traveled= 70000 m

Rate or speed of travel= 25m/s

To calculate the time for the travel, we multiply the rate of travel by the distance covered or traveled.

Rate= distance/time

Time= distance/rate

Time= 70000/25

Time=2800 seconds.

Time in minutes= 2800/60

Time in minutes= 46.67 minutes

Time in hours = 2800/(60*60)

Time in hours= 2800/360

Time in hours= 0.778 hours

Answer:

8

Step-by-step explanation:

x-6+4+5-8-3=0

x-8=0

x=8

294 gumballs were added because if u subtract 230 from 1696 you get 1466 which was the number you had when you are 230 gumballs so you take 1466 and subtract it from 1760 you get the amount of gumballs that was added.

just like this other lady said 294 gumballs were added

Answer:

(rs)(4) = 8x

(r/s)(3) = 3

Step-by-step explanation:

(2√x (√x)) (4)

(2x) (4)

8x

(√x / √x) (3)

1 (3)

3

Answer:

The answer to the first one is 8.

The answer to the second one is 2.

Step-by-step explanation:

Just got it right on edge.

Answer:

13 miles

Step-by-step explanation:

3 1/4 can be changed to 3.25

Then multiply 3.25 (the time) and 4 (the distance per hour) to get 13.

Answer:

She walked 7 miles. If it takes her one hour to walk 4 mile, then it will take 45 hours to walk 3 miles.

Step-by-step explanation:

Plz Mark me as brainliest

Answer:

4 roots.

Step-by-step explanation:

The number of roots is equal to the degree of the function

For example

f(x) = x^2  has 2 roots because the highest exponent is 2.

f(x) = x^3 + 2x - 1  has 3 roots , because the function is of degree 3.

(x^2+ 6)^2  = x^4 + 12x^2 + 36   so because of the x^4 it is of degree 4 and has 4 roots.

Answer:

P(1, B) = 1/12

Step-by-step explanation:

if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.

The probability of drawing 1 numbered ball in the first attempt and then drawing B numbered ball in the second attempt is 1/42.

Conditional probability is when occurrence of an event depends upon the occurrence of another event.In case of without replacement one event is dependent on another.

According to the given question

Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D and Steven combined the table tennis balls into one large bag instead of two individual bags.

Here we don't need to find the probabilities individual bags.

So after he combined them into one large bag there are 7 balls in that large bag namely 1, 2, 3, A, B, C, D

P(1) = 1/7

with without replacement there is now 6 balls in the large bag

∴ p(B) = 1/6

So the probability of drawing 1 numbered ball  in the first attempt and then B numbered ball  in the second attempt is p(1)p(B)

∴P(1,B) is

= (1/7)×(1/6)

= 1/42.

Learn more about probability here :

https://brainly.com/question/743546

#SPJ2

Answer:

360/15 = 24

Step-by-step explanation:

Answer:

4 over 9

Step-by-step explanation:

4 over 7 = 0.571428571

2 over 5 = 0.4

7 over 8 = 0.875

4 over 9 = 0.444444444444444

Answer:

4/7 and 4/9

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

i did math

Answer: 4  

Step-by-step explanation:

The Greatest common factor is the largest factor that both numbers share, so find their factors,

Factors of 20:  1,2,4,5,10 and 20

Factors of 36:  1,2,3,4,6,9,12,18, and 30

The largest factor that both numbers share  is 4

Answer:

The answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".

Step-by-step explanation:

[tex]\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}[/tex]

Solve the L.H.S part:

[tex]\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right][/tex]

After calculating the L.H.S part compare the value with R.H.S:

[tex]\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\[/tex]

[tex]\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\[/tex]

In equation (i) multiply by 3 and subtract by equation (iii):

[tex]\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}[/tex]

put the value of c in equation (i):

[tex]\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\[/tex]

In equation (ii) multiply by 3 then subtract by equation (iv):

[tex]\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\[/tex]

put the value of d in equation (iv):

[tex]\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2[/tex]

The final answer is "[tex]\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}[/tex]".

Answer:

x = 4

Step-by-step explanation:

∆ABC ~ ∆DEF

--> AB/DE = BC/EF

--> x / 3 = 8 / 6

--> x / 3 = 4 / 3

--> x = 4

Answer:

27.

Step-by-step explanation:

If x >= 4 then f(x) = 5x - 3.

So, as 6 is greater than 4 we have

f(6) = 5(6) - 3

= 30 - 3

= 27.

Answer:

B and D

Step-by-step explanation:

B:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

Answer:

It is the same as ascending order

Step-by-step explanation:

It is the same as ascending order becuase Least is small and Greatest is big so you are going upwards.

Hope This Helps :)

Answer:

Ascedning order

Step-by-step explanation:

Decend typically means "go down", in this case greatest to least goes from the biggest number to the smallest ( go down from biggest to smallest). Ascending means to "rise" or "go up", so to starts at the smallest value ascedning to the biggest value.

least to greatest = ascending

greatest to least = descending

Answer: V20

Step-by-step explanation:

Let's go down the list, shall we?

First, V64. I am going to assume that the V is a square root. If you take the square root of 64 you would get 8, which is not an irrational number.

2/2 would be one of the easiest, its just 1 if you simplify it

(16 would be a rational number, even if you took the square root.

4 is four, a rational number

V20 is an Irrational number, again, assuming that the V is a square root symbol, and you took the square root of it, you would get 4.472135955... an infinite number without a pattern

And 5 is just five, a whole number