Answer:
Option D
Step-by-step explanation:
From the picture attached,
If each block of the graph is a square with the dimension of 1 unit,
Measure of leg 1 = 5 units
Measure of leg 2 = 12 units
By applying Pythagoras theorem in the right triangle given in the picture,
(Hypotenuse)²= (leg 1)² + (leg 2)²
(Hypotenuse)²= (5)² + (12)²
(Hypotenuse)²= 25 + 144
Hypotenuse = √169
Hypotenuse = 13
Therefore, length of the given line will be 13.
Option D is the answer.
<span>Given: ΔABC
When written in the correct order, the two-column proof below describes
the statements and justifications for proving the three medians of a
triangle all intersect in one point are as follows:
Statements Justifications
Point F
is a midpoint of Line segment AB </span><span>by Construction
Point E is a midpoint of Line segment
AC
Draw Line segment BE
Draw Line segment FC
Point G is
the point of intersection between
Line segment BE and Line segment FC Intersecting Lines Postulate
Draw Line segment AG by Construction
Point D
is the point of intersection between
Line segment AG and Line segment
BC Intersecting Lines Postulate
Point H lies on Line segment AG such
that
Line segment AG ≅ Line segment GH by Construction
</span><span>Line segment FG is parallel to line segment
BH and Line
segment GE is parallel to line
segment HC Midsegment Theorem
</span><span><span>Line
segment GC is parallel to line segment
BH and Line segment BG is
parallel to
line segment HC Substitution</span>
</span>BGCH is a <span><span><span><span>Properties of a Parallelogram </span>parallelogram (opposite sides are parallel)</span>
</span>Line segment BD
≅ Line segment </span><span><span>Properties of a Parallelogram </span>DC (diagonals bisect each
other)
Line segment
AD is a median Definition of a Median</span>
Thus the most logical order of statements and justifications is: II, III, IV, I
Answer: 1/2
<u>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD</u>
(2/12*1/1) + (1/3+4/4)
<u>Complete the multiplication and the equation becomes
</u>
2/12+4/12
<u>The two fractions now have like denominators so you can add the numerators.</u>
2+4/12 = 6/12
<u>This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor </u>
6/12 ÷ 6/6 = 1/2
<u>Therefore:
</u>
2/12 + 1/3 = 1/2
Answer:
x=2
Step-by-step explanation:
p and q are 1 point ahead of the previous main one so the beginning and 1
