Answer with Step-by-step explanation:
We are given that


Compare with the equation of circle

Where center of circle=(h,k)
r=Radius of circle
a.Center of circle=(0,0)
Radius=
units
Center of second circle=(3,3)
Radius of second circle=
units
b.Distance formula:
Using the formula
The distance between the centers of two circle
=
Hence, the distance between the centers of two circle =
units.
c.
Substitute x=-1 and -1


The circle must be tangent because there is just one point (-1,-1) is common in both circles and satisfied the equations of circle.
Let's start by calculating the number of steps Andre walked. He recorded that he can walk 6000 steps in 50 minutes, which means that he can walk 6000/50=120 steps per minute. 5 hours = 5*60 = 300 minutes. So Andre has walked 120 * 300 = 36 000 steps.
Priya writes the equation y=118x in which y is the number of steps and x is the number of minutes. As already stated, 5 hours = 300 minutes. So x = 300. We replace x by its value and we get y = 118x = 118*300 = 35400 steps.
36000>34500 so Andre has walked more steps than Priya.
Hope this helps! :)

Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
<u>━━━━━━━━━━━━━━━━━━━━</u>
The measure of both the interior angles are 70 and 110 degree.
<h3>What are Parallel Lines ?</h3>
Lines they never intersect with each other and the distance between them always remains same are called parallel lines.
It is given that
Line l and m are parallel lines and are intersected by a transversal ,n
Interior angles of the same side are (2x−8) degree and (3x−7) degree
Applying the property of interior angles of parallel lines
2x -8 + 3x - 7 = 180 degree
5x -15 = 180
5x = 195
x = 39 degree
Both the angles have measure of
2 * 39 - 8 = 70 degree
3 * 39 -7 = 110 degree
Therefore the measure of both the angles are 70 and 110 degree.
The complete question is
Two parallel lines l and m are cut by a transversal n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree , find the measure of each of these angles.
To know more about Parallel Lines
brainly.com/question/16701300
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Answer:
Is a quadrilateral with one pair of opposite sides parallel
Step-by-step explanation: