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blondinia [14]
3 years ago
13

Line J M is the perpendicular bisector of LK.

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

The congruent segments are LN and NK ⇒ C

Step-by-step explanation:

<em>If a line is a perpendicular bisector of another line, that means this line intersects the other line in its midpoint and form right angles around this point</em>

∵ Line JM is the perpendicular bisector of line LK

→ That means JM intersect LK at the midpoint of LK

∵ Line JM intersects line LK at point N

∴ Point N is the midpoint of LK

∵ N divides LK into two segments LN and NK

∵ N is the midpoint of LK

→ That means LN equals NK

∴ LN = NK

∴ The congruent segments are LN and NK

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Ella ran 6 times around her school building. Then she ran 4 miles home.
Snowcat [4.5K]

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

6 0
3 years ago
Read 2 more answers
A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

h=-16t^2+120t+10 .....(1)

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s

Put t = 3.75 in equation (1). So,

h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0
2 years ago
Roxanne graphed this system of equations to find the solution.
Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

y = \frac{2}{3}x-5         .....[1]

y = -2x+3         .           .....[2]

equate these two equations we get;

\frac{2}{3}x-5=-2x+3

Add 5 to both sides we get;

\frac{2}{3}x = -2x+8

Add 2x to both sides we have;

\frac{8}{3}x = 8

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0
3 years ago
Read 2 more answers
A rental car company charges $31 per day to rent a car and $0.13 for every mile
lord [1]

Answer:

The number of days is at most 5 days

= d ≤ 5 days

Step-by-step explanation:

A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:

She plans to drive 500 miles.

• She has at most $220 to spend.

At most means Less than or equal to $220

The inequality for expressing this = ≤

Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.

$31 × d + $0.13 × 500 miles ≤ $200

The inequality is given as:

31d + 65 ≤ 220

Solving further

31d ≤ 220 -65

31d ≤ 155

d ≤ 155/31

d ≤ 5

Therefore, the number of days is at most 5 days

8 0
3 years ago
Simplify the expression
AleksAgata [21]

4m + 5

Remove the parenthesis and collect like terms

3m + m + 5 = (3m + m) + 5 = 4m + 5


3 0
3 years ago
Read 2 more answers
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