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shusha [124]
2 years ago
13

Which statements are always true for a rectangle?

Mathematics
1 answer:
LekaFEV [45]2 years ago
5 0

Answer:

True☆The diagonals are congruent.

Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)

Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)

True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)

True☆All angles are congruent. (All four angles are right angles--part of the definition)

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What is the property of (4 + 7) + 8 = 4 + (7 +8) ?
nasty-shy [4]

Answer:

Commutative

Step-by-step explanation:

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4 0
2 years ago
Find the volume of this triangular prism.​
True [87]

Answer:

7 * 4 * 12 = 336sq cm

Step-by-step explanation:

Hoped this helped

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2 years ago
In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation
Inessa [10]
<h3>Answer: QS is 37 units long</h3>

=========================================

Explanation:

PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.

PN*NR = QN*NS

24*14 = 21*(2x-4)

336 = 42x-84

336+84 = 42x-84+84 .... add 84 to both sides

420 = 42x

42x = 420

42x/42 = 420/42 ...... divide both sides by 42

x = 10

We know that x = 10 so we can use it to find the length of NS

NS = 2x-4

NS = 2*10-4

NS = 20-4

NS = 16

Therefore,

QS = QN + NS

QS = 21 + 16

QS = 37

--------

note: as a check,

PN*NR = QN*NS

24*14 = 21*16

336 = 336

we get a true equation, so we have the proper values

4 0
3 years ago
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