What is equivalent to the expression 5x - 4 - 9x +7
2 answers:
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Answer:
I did the whole graph myself so you can just couple it down lol ;)
Answer:
First option: Square with diagonals
and
.
Fifth option: Segment is parallel to segment
.
Step-by-step explanation:
We know that a square is quadriteral whose sides are equal.
By definition, a square has the following properties:
1) Its four sides are congruent.
2) The diagonals are congruent.
3) The angles formed by the intersection of the diagonals measure 90 degrees.
4) The opposite sides are parallel.
5) Each internal angle measures 90 degrees.
Notice in the figure that:
- The diagonals of the square
are:
and
.
and
are opposite sides, therefore, they are parallel.
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
