Scott takes a walk around the block. How far did he walk?




240 m

200 m

100 m

120 m

Answer:

UT = TW + WU = 27 + 27 = 54

WT = 27

ST = UT = 54

arc(XT) =  angle XZT = 52 degrees

arc(ST) = angle SZT = 104

arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208

I know it was super drawn out and there were probably quicker ways to do it, but I was justusing methods that came to mind rather than going for efficiency.  let me know if any part is confusing.  

Step-by-step explanation:

Let's start by just building on what we know

Since we know sv and vz can be made into the side of two triangles, SZV and TZV, we can use some similar triangle rules.

In SZV and TZV we know SZ = TZ since they are both radii, ZV = ZV because they are the same line and angle ZVS = angle ZVT since they are supplementary and one is 90 degrees.  This allows us to solve and see if they are congruent or not.  To do so we use the normal trig functions

sin(ZTV) = ZV/ZT = ZV/12

sin(ZSV) = ZV/SV = ZV/12

So the angles could be equal, but just to be sure lets look at all possible answers.  with sine an angle x gives the same result as 180-x.  Since both angles are acute thugh we know this can't be true so both angles are equal.    Now we can say both triangles are congruent by AAS.  Since they are congruent we can then confirm SV = VT.

In general you can say if a radii intersects a chord at a right angle then the intersection is a bisection.  So now we know VT = 27

We can use similar methods to show UW = WT and if you made two triangles ZWT and ZWU you will see they are congruent.  and since arc UT is 104 degrees that means angle UZT is 104 degrees.  Since ZW bisects UT and the two triangles are congruent ZW also bisects angle UZT so UZW = TZW = 52 degrees.

Now we have 4 triangles, SZV, TZV, ZWT and ZWU and we know SZV and TZV are congruent and ZWT and ZWU are congruent.  Now, if we can make one from each pair congruent we would knwo all four are congruent.  Since TZV and ZWT share a side  that's a good place to start.  Looking at these two  triangles we know those two sides are equal, and they both have a right angle.  Also we know VZ = ZW fromt he instructions, so this is again a chance to check with trig.

Let's look at angle ZTW and ZTV.

sin(ZTW) = ZW/ZT = 27/ZT

sin(ZTV) = VZ/ZT = 27/ZT

Using the same reasoning as before we can say that the two angles are equal, so the two triangles are congruent.  Now we can say a lot.

angle UZT = angle SZT = 104 degrees

angle SZV = angle VZT = angle TZW = angle WZU = 52

SV = VT = TW = WU = 27

Let's start solving.

UT = TW + WU = 27 + 27 = 54

WT = 27

ST = UT = 54

arc(XT) =  angle XZT = 52 degrees

arc(ST) = angle SZT = 104

arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208

Answer:

big pp is answer ok big pp is good hehe

$18.50 + $6.75x=

and then for 4 hours it would be $45.50

Answer:

its like 430 times larger, probably A or B

Step-by-step explanation:

Answer:

1. red humans, or aleins?

2. i dont  know to be honest

3. -7 yrs old?

Answer:

I dont know

Step-by-step explanation:

If you're eating a bag of water for breakfast at night how many guitars do you need to milk a cow?

Answer:

Step-by-step explanation:

-20x-20y=0 -8x-8y=0

Substitute

-8(-y)-8y=0

simplify

0=0

x=-y

Answer and Step-by-step explanation:

The simplest ration would be 8 : 1, because both numbers are divisible by 7.

56 divided by 7 is 8, and 7 divided by 7 equals 1.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

every Saturday Michelle takes her dog to the park.

Stevie is laid-back guy and he usually handles tough situations in a very negative way.

Allied liberated another town and also helped hundreds of enemy soldiers.

Answer:

52.48x ≤ 288.64

x≤5.5, x=5

Step-by-step explanation:

First off, we must find out how much money he has available after buying the bike, reflectors and gloves:

Total spent = (price of bike)+3(price of reflectors)+(price of gloves)

=233.09+3(16.38)+29.13

=311.36

600-311.36=288.64, so he has $288.64 left to spend on outfits.

The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:

52.48x ≤ 288.64

To solve, divide both sides by 52.48:

x≤5.5

(Since he cant buy half of a product, x's maximum value is 5)

Answer:

The answer is 8.

Step-by-step explanation:

He is guaranteed to make $240 between 2 and 6 pm every Saturday afternoon. For each time that both of the 2 customers booked for the same hour does not cancel, he earns only $20. Considering that the probability of cancellation is 25%, if he books 8 customers for the 4 hour period on Saturday afternoon, he is making an extra $80 which bumps up his total earnings to $320. If he accepts any booking after 8, each is going to cost him $40. So the total number of reservations he should take is 8.

I hope this answer helps.

Answer:

she needs to put in 5 more cups of sugar.

Step-by-step explanation:

in the word problem it states that shee needs 7 cups of sugar and since she already put in 2 cups, you have to subtract 2 from 7 since she already put 2 cups in, and then you get your answer which is 5 more cups.

Answer:

Step-by-step explanation:

[tex]\text{The volume of a cone is}\\ \\ V=\frac{h\pi r^2}{3},\ h=7mi,\ r=2mi\\ \\ V=\frac{7\pi 2^2}{3}\\ \\ V=\frac{28\pi }{3}mi^3[/tex]

Answer:

answer 29.32

Step-by-step explanation:

3.14x2^2 is 12.56 then 12.56x7/3=29.32 because the formula for cone is V=πr2h 3

Answer:

7

Step-by-step explanation:

2 - tenths

4 - hundredths

7- thousandths

8 - ten-thousandths

Step-by-step explanation:

digit 7 is in the thousandths place

....................

Answer:

y=2x

Step-by-step explanation:

First you find out what times what equals 2 and that's it

Answer: h(x) = 3^(-x/4)

Step-by-step explanation:

If we have a function f(x), an horizontal stretch of scale factor k is written as:

g(x) = f(x/k)

So, if we have the function f(x) = 3^x

A horizontal stretch of scale factor 4 is:

g(x) = f(x/4) = 3^(x/4)

Now we have a reflection across the y-axis

If we have a function f(x), a reflection across the x-axis is written as:

g(x) = f(-x)

Then if now we apply a reflection across the y-axis to the function g(x), we have:

h(x) = g(-x) = 3^(-x/4)

Then the transformation that we wanted is:

h(x) = 3^(-x/4)

Answer:

Time dependency: 5 years

Initial: 6000

Tax Rate: 5.99%

So at the end you would have paid $2,025.57

Given:

HML = 180°

KMG = 180°           (since both are lines)

∠KML = 83°

To find:

Measurement of ∠KMH

Steps:

Since we know HML is a line and equals to 180°, then

∠LMK + ∠KMH = ∠HML

    83° + ∠KMH = 180°

             ∠KMH = 180° - 83°

             ∠KMH = 97°

Therefore the measurement of ∠KMH is 97°

Happy to help :)

If you need any help in any other question, feel free to ask

Also x = 20.75 (if you need steps pls ask)

Answer:

B

Step-by-step explanation:

factors of 45 that when u multiply give u 45 when u add give u -14

Answer:

B, (x - 5)(x - 9)

Step-by-step explanation:

x^2 - 14x + 45

= (x - 5)(x - 9)

The answer is x³+57 or (x³+57)

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

Answer:

If it is [tex]\sqrt{96} \sqrt{96}[/tex] then it is the solution [tex]\sqrt{96} \sqrt{96} = 96[/tex] because the square root of an expression multiplied by itself gives that expression.

Answer:

Step-by-step explanation:

there are two ways to solve systems of equations,  elimination or substitution, this looks like elimination would work quickly

x= 25 -y

x + y = 25   (eq 1)

5x + y = 10  (eq 2)

subtract 2 from 1

x + y = 25  

-(5x + y = 10)

-4x + 0y = 15

-4x = 15

x = - 15/4

now plug in x into either starting equations and solve for y

-15/4 + y = 25

y = 25 + 15/4

y = 100/4 + 15 /4

y = 115 /4

y = 28 3/4

we have solved it :)

Answer:

5x+ y = 10   ---(eq1)

x = 25 - y    ---(eq2)

substituting (eq2) in (eq1)

5(25 - y) + y = 10

125 - 5y + y = 10

125 - 4y = 10

-4y = 10 - 125

-4y = -115

4y = 115

y = 115/4 = 28.75

substituting value of y in (eq2)

x = 25 - 28.75

x = -3.75

Answer: 0.8 ------    1,600

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

hexagons have 5 sides and a five-sided shape has a sum of 540 degrees interior angle so 160+170+90 (because the square in the corner is a right angle which always equals 90 degrees) =420 so minus 420 from 540 to get 120+150 which equals 270 degrees. hope this helped.

Answer:

13 quarters, 26 nickels.

Step-by-step explanation:

n will be number of nickels, q will be number of quarters, and we have 39 total coins

so n + q = 39 (number of nickels + number of quarters = 39 coins.

The problem also says there are twice as many nickels as quarters. so we can call the number of nickels n or we can call it 2q (2 times the number of quarters)

which means

n + q = 39

2q + q = 39

3q = 39

q = 13

and she has 2 times as many nickels as quarters... 2 x 13 = 26 nickels

LMK if you have questions.

If you want to double check the money,

n(0.05) + q(0.25) = 4.55 is the equation to use.

26(0.05) + 13(0.25) = 1.3 + 3.25 = $4.55

Answer:

63.59 (c)

Step-by-step explanation:

Formula: π[tex]r^{2}[/tex]

Plug in data:

9cm is diameter and a radius is half a diameter so the radius is 4.5cm.

π x 4.5^2 = 63.59cm^2

Answer:

(0.5n + 0.3) - (0.75n - 0.45)

0.5n + 0.3 - 0.75n + 0.45

-0.25n + 0.75

So it's C