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)
Answer:
C) 15
Step-by-step explanation:
This is an isosceles triangle (two of the three angles are equal) so two of the sides are also equal. x is the same length as 15.
Answers:
<h2>7. 12</h2><h2>8. -√18</h2><h2>9. √220</h2>
Step-by-step explanation:
To find out which is greater, we must eliminate the radical symbol.
#7
= 9.38083151965
9.4 < 12
#8
= -4.24264068712
-4.2 > -6
#9
= 14.8323969742
14.5 < 14.8
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Answer:
6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy
Step-by-step explanation:
Here, we want to produce 36 kg of 25% alloy
Let the Pure copper be x kg while 10% alloy be y kg
Pure copper is simply 100% copper
Thus;
x + y = 36 •••••(i)
Then;
100% of x + 10% of y = 25% of 36
= x + 0.1y = 9 •••••• ii)
From i x = 36-y
from ii, x = 9-0.1y
Equate both x
36-y = 9-0.1y
36-9 = 0.1y + y
0.9y = 27
y = 27/0.9
y = 30
x = 36-y
x = 36-30
x = 6 kg
Answer:
area of trapazoid= 1/2 × b× h
so = 1/2×9×15
=1/2×135
=67.5cm