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Tanzania [10]
2 years ago
8

Use the following number line to determine if the expressions are true or false.

Mathematics
1 answer:
Sveta_85 [38]2 years ago
7 0

Answer:

true

Step-by-step explanation:

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Prove or disprove the figure defined by points A, B, C, d is a rhombus
just olya [345]

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal  (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)

4 0
3 years ago
Find the area of the polygon with the given vertices. J(−3, 4), K(4, 4), L(3,−3)
zlopas [31]

Answer:

24.5 square units

5 0
3 years ago
Ms. Bruckner sells a car for $16,400. How much does she earn with a 1.4% commission?
Kitty [74]
About 6,000 Double check the answer i gave you.
7 0
3 years ago
Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel
Anestetic [448]

Answer:

x1 = 275 miles (shorter)

x2 = 318 miles (longer)

Step-by-step explanation:

Let

x1 = be the shorter route

v1 = speed of the car in the shorter route

t1 = time it took to cover shorter route

x2 = the longer route

v2 = speed of the car in the longer route

t2 = time it took to cover longer route


x1 + 43 = x2   (1)

v2 = v1 -2   (2)


v2 = x2/t2 = x2/6

v1 = x1/t1 = x1/5


This means that

v2 = v1 -2   =>

x2/6 = x1/5 -2

The system of equations results

a.   x1 -x2 = -43

b.  x1/5 - x2/6 = 2

Solving this system of equations, we find that

x1 = 275 miles

x2 = 318 miles


4 0
3 years ago
Read 2 more answers
Tim had three toys and Sheila have four toys how many did they have together ?
Ainat [17]

Answer:

7 toys

Step-by-step explanation:

3+4=7

5 0
3 years ago
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