MATHEMATICS HIGH SCHOOL

The altitude of an equilateral triangle is 7 root 3 units long. The length of one side of the triangle is ____ units. A. 7
B. 14
C. 14 root 3
D. (7 root 3) /2

Answers

Answer 1
Answer: The altitude of an equilateral triangle:
h = s √3 / 2, where s is the length of one side of the triangle.
s √3 /2 = 7 √ 3   / : √3
s / 2 = 7
s = 7 * 2
s = 14 units
Answer:
B ) 14
Answer 2
Answer:

Answer:

B ) 14

Step-by-step explanation:

The altitude of an equilateral triangle:

h = s √3 / 2, where s is the length of one side of the triangle.

s √3 /2 = 7 √ 3   / : √3

s / 2 = 7

s = 7 * 2

s = 14 units

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In the figure below, m < 1 = 26° and m < 2 = 28° Find m< WXZ. m
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I am not sure if this is right can someone check it ASAP please

Answers

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

If -5x=-30, then x=6. What property was applied to get x=6

Answers

Answer:

multiplicative inverses

7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.​

Answers

Answer:

30 hours 48 minutes

Step-by-step explanation:

Using the relationship

average speed = (distance)/(time) = (375)/(15) = 25 Km / hour

Then

time = (distance)/(speed) = (770)/(25) = 30.8 hours = 30 hours 48 minutes

Answer:

30.8 or 30 hours and 48 mins

Step-by-step explanation:

375 km > 15 Hours

Divide 375 and 15, equals to 25.

So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)

Now, divide 770 and 25 to get the time taken to travel 770km.

And the answer is 30.8 hrs or... 30hrs and 48mins

Welcome ;)

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is located at (11,11) and the Bus Station is located at (-3,3).

Answers

Answer:

(25,19)

Step-by-step explanation:

We are to find the location of the train station.

Using the formula for calculating midpoint given as:

M(X,Y) = [(x1+x2)/2, (y1+y2)/2]

X = x1+x2/2

Y = y1+y2/2

Given

M(X,Y) = (11,11)

Bus station (x1, y1) = (-3,3)

Substituting the given parameters into the formula.

11 = -3+x2/2

Cross multiply

11×2 = -3+x2

22 = -3+x2

x2 = 22+3

x2 = 25

Similarly

Y = y1+y2/2

11 = 3+y2/2

Cross multiply

11×2 = 3+y2

22 = 3+y2

y2 = 22-3

y2 = 19

Hence the location of the train station is at (25,19)

Solve the system of equations.What is x and y
​

−2x+15y=−24
2x+9y=24
​

Answers

−2x+15y=−24

2x+9y=24

Add the two equations together.

-2x +2x = 0

15y + 9y = 24y

-24+24 = 0

The two equations when added become:

24y = 0

Solve for y:

divide both sides by 24:

y = 0/24 = 0

The value of Y is 0

Now replace Y in one of the equations and solve for x:

2x+9(0) = 24

2x + 0 = 24

2x = 24

Divide both sides by 2:

x = 24/2

x = 12.

The value of x is 12

The solution is (12,0)

Answer:

The solution is ( x , y ) = ( 12 , 0 )

Step-by-step explanation:

[ Refer to the attachment ]

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Answers

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:
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