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Sedaia [141]
3 years ago
10

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

hird, 7 and one-third). What is the distance from Layana’s home to the store?
4 units

8 and two-thirds units

10 units

14 and two-thirds units
Mathematics
2 answers:
NeTakaya3 years ago
3 0

We have been given that Layana’s house is located at (2\frac{2}{3}, 7\frac{1}{3}) on a map. The store where she works is located at (-1\frac{1}{3}, 7\frac{1}{3}).

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

2\frac{2}{3}\Rightarrow \frac{8}{3}

7\frac{1}{3}\Rightarrow \frac{22}{3}

-1\frac{1}{3}\Rightarrow -\frac{4}{3}

Now we will use distance formula to solve our given problem.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of our given point in above formula, we will get:

D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}

D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}

D=\sqrt{0+(\frac{8+4}{3})^2}

D=\sqrt{(\frac{12}{3})^2}

D=\sqrt{(4)^2}

D=4

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

Liula [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles

8 0
2 years ago
#7: Find the surface area of the square pyramid shown below. * 10 IN. 6 IN. 6 IN. SURFACE AREA = IN2​
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360 IN.2?

Step-by-step explanation:

i don't know if correct

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2 years ago
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a sum of RS 500 is in the form of denominators of RS5 & RS 10..if the total no. of notes is 90 ,find the no. of notes of eac
Katarina [22]
Let rs.5 denominations be x , then rs 10 denominations will be 90-x

then total amount 5x + 10(90-x) which is rs.500

 5x + 10(90-x) = 500

900 - 5x = 500
400 = 5x
therefore x = 80
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8 0
3 years ago
Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM
Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, \cos 41 = \frac{JP}{JM} = \frac{JP}{35}

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0
3 years ago
Find the value of x.
ruslelena [56]

Answer:

4

Step-by-step explanation:

(10 - x ) / x = 3/2                Cross Multiply

2*(10 - x) = 3x                    Remove the brackets

20 - 2x = 3x                       Add 2x to both sides

20 = 3x + 2x

5x = 20                              Divide both sides by 5

x = 20/5

x = 4

8 0
2 years ago
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