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lyudmila [28]
2 years ago
10

Figure T is similar to figure W which answer is closest to the length of side XY

Mathematics
1 answer:
beks73 [17]2 years ago
8 0
As they are similar triangles, one is simply going to be bigger than the other, meaning that if triangle T’s side QS is = 9 and triangle W’s corresponding side ZX is =6.5. When dividing 9 by 6.5, it is obvious that triangle W is 0.72 smaller than triangle T. All you then have to do to calculate length of side XY is times side QR on triangle T -cause it’s the corresponding side of these two triangles- by 0.72, and you’ll have your answer of XY= 8.125 :)
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11 12 13 14 15 16 17 18 19 20 Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at on
OLga [1]
X= price of hotdog
y= price of hamburger

Set up equations for each stand. Multiply number of hotdogs and hamburgers sold by their prices (x and y) and add together to equal the total sold at each stand.


FIRST CONCESSION STAND
164x + 74y= $706

SECOND CONCESSION STAND
256x + 61y= $884


STEP 1
to solve by elimination, multiply first concession stand equation by 61; this will eliminate the y term

164x + 74y= $706
(61)(164x) + (61)(74y)= (61)(706)

10,004x + 4,514y= 43,066


STEP 2
multiply second concession stand equation by -74

256x + 61y= $884
(-74)(256x) + (-74)(61y)= (-74)($884)

-18,944x - 4,514y= -65,416


STEP 3
add step 1 & 2 equations together to solve for x

10,004x + 4,514y= 43,066
-18,944x - 4,514y= -65,416
y terms "cancel out"

-8,940x= -22,350
divide both sides by -8,940

x= $2.50 hotdog


ANSWER: $2.50 is the price of a hotdog.

Hope this helps! :)
3 0
3 years ago
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .
Alla [95]

Answer:

Point B is (10 , -4)

Point D is (10/9 , 1)

Step-by-step explanation:

* Lets revise the rule of the point which divides of a line segment in

 a ratio

- If point (x , y) divides the line segment AB, where A is (x1 , y1) and

 B is (x2 , y2) in the ratio m1 : m2

∴ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ y = [m2(y1) + m1(y2)]/(m1 + m2)

* Now lets solve the problem

- Point C (3.6 , -0.4) divides AB in the ratio 3 : 2, where A is (-6 , 5)

# x = 3.6 , y = -0.4

# A is (x1 , y1) , B is (x2 , y2)

∴ x1 = -6 , y1 = 5

∵ m1 : m2 = 3 : 2

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ 3.6 = [2(-6) + 3(x2)]/(3 + 2)

∴ 3.6  = [-12 + 3x2]/5 ⇒ multiply both sides by 5

∴ 18 = -12 + 3x2 ⇒ add 12 to both sides

∴ 30 = 3x2 ⇒ divide both sides by 3

∴ 10 = x2

* The x-coordinate of B is 10

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ -0.4 = [2(5) + 3(y2)]/(3 + 2)

∴ -0.4 = [10 + 3y]/5 ⇒ multiply both sides by 5

∴ -2 = 10 + 3y2 ⇒ subtract 10 from both sides

∴ -12 = 3x2 ⇒ divide both sides by 3

∴ -4 = y2

* The y-coordinate of B is -4

∴ Point B is (10 , -4)

- Point D divides AB in the ratio 4 : 5 where A (-6 , 5) and B (10 , -4)

- To find the coordinates of point D use the same rule above

# D is (x , y)

# A is (x1 , y1) and B is (x2 , y2)

# m1 : m2 is 4 : 5

∵ x1 = -6 and y1 = 5

∵ x2 = 10 and y2 = -4

∵ m1 = 4 and m2 = 5

- Substitute these values in the rule

∵ x = [m2(x1) + m1(x2)]/(m1 + m2)

∴ x = [5(-6) + 4(10)]/(4 + 5) ⇒ multiply the numbers

∴ x = [-30 + 40]/9 ⇒ add

∴ x = [10]/9 ⇒ Divide

∴ x = 10/9

* The x-coordinate of D is 10/9

∵ y = [m2(y1) + m1(y2)]/(m1 + m2)

∴ y = [5(5) + 4(-4)]/(5 + 4) ⇒ multiply the numbers

∴ y = [25 + -16]/9 ⇒ add

∴ y = [9]/9 ⇒ Divide

∴ y = 1

* The y-coordinate of point D is 1

∴ Point D is (10/9 , 1)

3 0
3 years ago
What are the LDC between 4/9 & 2/3
SashulF [63]

Answer:

the least common denominator between 4 and 9 is 36

Step-by-step explanation:

6 0
2 years ago
Which angles shown in the drawing are supplementary?
koban [17]
The first one is supplementary
6 0
3 years ago
Read 2 more answers
55+p=105 What is the variable
natta225 [31]
55+p=105
subtract 55 from both sides
p=50
MAGIC
8 0
3 years ago
Read 2 more answers
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