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soldier1979 [14.2K]
3 years ago
12

Explain why the hypotenuses of the triangles below have the same slope.

Mathematics
2 answers:
schepotkina [342]3 years ago
6 0
They have the same slope because they are similar. The smaller one is 1/2 the size of the bigger one and they have a ratio of 1:2 which makes them similar. 
Kitty [74]3 years ago
5 0
The hypotenuses are the same because they fall on the same line.
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A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.
zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

P=2l+2w

Where

P is perimeter

l is length

w is width

Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

P=2l+2w\\16.8=2(3.6)+2w\\16.8=7.2+2w\\16.8-7.2=2w\\9.6=2w\\w=\frac{9.6}{2}\\w=4.8

Hence, the width is 4.8 inches

3 0
4 years ago
Geometry help. Inscribing circle help and constructing lines.
prohojiy [21]
<h3>1. Inscribe a circle ΔJKL. Identify the point of concurrency that is the center of the circle you drew. </h3>

To inscribe a circle in the attached triangle, we must follow the following steps. The resultant figure is the first one below.

1. Draw the angle bisector of angle JKL. The straight line in the green one.

2. Draw the angle bisector of angle KLJ. The straight line in the blue one.

3. Draw point D at these two lines.

4. Draw a line through point D perpendicular to side JK. The straight line in the red one.

5. Mark point G at the red line and side JK.

6. Draw a circle with center at D (point of concurrency) and a radius of DG.


<h3>2. Circumscribe a circle ΔFGH. Identify the point of concurrency that is the center of the circle you drew. </h3>

To circumscribe a circle in the attached triangle, we must follow the following steps:

1. Draw the perpendicular bisector of the side FG. The straight line in the red one. The resultant figure is the second one below.

2. Draw the perpendicular bisector of the side GH. The straight line in the blue one.

3. The center of the circle is the intersection of these two lines

4. Draw a circle with center at D (point of concurrency).

<h3>3. Construct the two lines tangents to circle</h3>

A tangent to a circle is a straight line that touches the circle at an only point. If a point A is outside a circle, we can draw two lines that pass through this point and are tangent to the circle at two different points each. So this is shown in the third figure. Lines red and blue are tangent to the circle at two different points.

3 0
3 years ago
How many solutions does the system of equations below have?<br> y = −6x + 9<br> y = 9/8x − 3
torisob [31]

Answer:

1 solution

Step-by-step explanation:

A system of two equations can be classified as follows:

1) If the slopes are the same but the y-intercepts are different, the system has no solution.

<em>2) If the slopes are different, the system has one solution.</em>

3) If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions

Hope this helps you

4 0
3 years ago
Jeffery thinks that the largest place value 8.21 and 19.5 have in common is the tens place. Austin thinks that the largest place
katovenus [111]
The answer is A. jeffery
4 0
3 years ago
Six years less than Tracey's age as an expression
likoan [24]

Answer:

T-6=X

Step-by-step explanation:

Tracey = T

X = Awnser

If we are subtracting six from Tracey's age, you would subtract six from T

since we don't know Tracey's age, it is represented by T.

Hope this Helps!

4 0
3 years ago
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