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mrs_skeptik [129]
1 year ago
15

If JK and LM are congruent and parallel, then JKL and MLK are congruent.

Mathematics
1 answer:
viktelen [127]1 year ago
3 0

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

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A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = \frac{\text{Distance traveled}}{\text{Time}}

                           = \frac{210}{3.5}

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = \frac{\text{Distance traveled}}{\text{Time}}

                                             = \frac{60}{1}

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

8 0
1 year ago
Joe walks on a treadmill at a constant rate. The equation below describes the relationship between t, the time he walks in hours
STALIN [3.7K]

Answer: A

Step-by-step explanation:

CORRECTED QUESTION

Joe walks on a treadmill at a constant rate. The equation d=4t describes the relationship between t, the time he walks in hours, and d, the distance he walks in miles. Which of the graph best describes the relationship?

The equation d=4t is a linear equation.

When t=1, d=4 X 1 =4

When t=2, d=4 X 2 =8

The correct graph that satisfies this pair is A (as seen in the diagram)

4 0
2 years ago
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the co
padilas [110]

Answer:

P = \frac{1}{3}

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

\frac{d P(TTH)}{dP} = 0

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}

= 6P - 4

and

(6P - 4) is negative which is for

P = \frac{1}{3}

5 0
2 years ago
On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati
Talja [164]

Answer: c  

Step-by-step explanation:

its c.

8 0
1 year ago
Read 2 more answers
Jason is designing the packaging for a new brand of snack crackers. To fit on shelves, the package must not be more than 8 1/2 i
drek231 [11]

Answer:

Step-by-step explanation:

8 1/2 inches  = \frac{17}{2} inches

To fit on shelves, the package must not be more than 8 1/2 inches tall, it means the height of the package can be at \frac{17}{2} inches

The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.

The base of the package to be squared

And we have the formula:

V = h*S (Area of the base)

=> S = V/h = 100 :  \frac{17}{2} = \frac{200}{17}  

=> the side of square: \sqrt{\frac{200}{17} }

The dimensions for Jason's design are:

The height: \frac{17}{2} inches  

The length and width: \sqrt{\frac{200}{17} }

6 0
2 years ago
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