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2 years ago

Jk has endpoints j(-1,10) and k(-5,2). MN has endpoints M(9,-7) and N (1,-3).is JK congruent MN.

Mathematics

1 answer:

statuscvo [17]2 years ago

7 0

To determine if these line segments are congruent you can find the distances between the x values and the y values for each set of points.

(-1, 10) and (-5, 2). 4 on x axis and 8 on the y axis.

(9, -7) and (1, -3). 8 on the x axis and 4 on the y-axis.

This means they are congruent. Each triangle would have the same two side lengths making the hypotenuse the same.

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At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began t

Andrei [34K]

Answer:

The equation is;

S = 18 - 1.5t

Step-by-step explanation:

From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t

After 4 hours of melting, the snow depth is 12 inches

Now, recall that the rate of melting is 1.5 inches/ hour

So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches

So the total depth of the snow initially will be 6 + 12 = 18 inches

So let’s write the equation;

S = 18 - 1.5t

Where S is the depth of the snow after a particular number of hours t

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2 years ago

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. T

larisa86 [58]

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters

Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

8 0

1 year ago

A car uses 3t gallons of gasoline to travel 5 miles.

Nadusha1986 [10]

Answer: a) $\frac{24}{5}t gallons$ are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Step-by-step explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles = $\frac{3t}{5}\times 8=\frac{24}{5}t gallons$

$\frac{24}{5}t gallons$ are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = $\frac{5}{3t}\times 9t=15 miles$

Thus town X and town Y are 15 miles apart.

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2 years ago

In ΔPQR, p = 220 inches, q = 890 inches and ∠R=121°. Find the length of r, to the nearest inch.

Veronika [31]

Answer:

1021

Step-by-step explanation:

delta math said it was right

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2 years ago

A researcher wants to determine if preschool attendance is associated with high school graduation for low-income students. She r

Alik [6]

Answer:

Step-by-step explanation:

In research studies, variables are used to explain differences in another variable. The explanatory variable (also known as independent or predictor variable) is used to explain differences in the response variable (dependent or outcome variable).

<em>It is important to know that the explanatory variable is the variable that is manipulated by the researcher. </em>

The facts that are not being manipulated are the income of the children studied, and what happens after attending or not preschool program. The variable the researcher is manipulating is the assignation to groups that will or will not attend preschool. Therefore the correct answer is:

I hope you find this information useful and interesting! Good luck!

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2 years ago