Answer:
w = 36 centimeters
y = 24 centimeters
Step-by-step explanation:
The exact question is as follows :
Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.
To find - Based on the given information, what are the values of y and w in centimeters?
Solution -
We can see that from the diagram,
Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL
So,
The side KL = 3 times side GH
⇒12 = 3×4
⇒12 = 12 centimeters
So,
side FJ = 3 times side KL
⇒w = 3×12
⇒w = 36 centimeters
Now,
The side KF = 3 times side KG
⇒KF = 3×8
⇒KF = 24
Now,
We know,
In isosceles trapezoid two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length
So,
Side LJ = side KF
⇒y = 24 centimeters
∴ we get
w = 36 centimeters
y = 24 centimeters
Answer:
<em>The distance from the point to the line is approximately 3.2 units</em>
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:





The distance from the point to the line is approximately 3.2 units
Answer:
same no cap <em><u> </u></em><em><u>jskxizjssjhZbzbh</u></em>
Step-by-step explanation:
.
Answer:
60°
Step-by-step explanation:
All the side lengths of the triangle have the same measurement. This makes it an equilateral triangle. By the definition of an equilateral triangle, all the angles are congruent, therefore all their measurements are the same. There are 3 total angles in a triangle, and the total sum of the angel measurements of a triangle is 180. Divide 180 with 3:
180/3 = 60
60° is your answer.
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