2 years ago

A number is increased by 25 percent and then decreased by 20 percent. The result is what percent

Mathematics

1 answer:

Citrus2011 [14]2 years ago

5 0

Answer: 100%

Step-by-step explanation

Let the number be 100

Add 25% to it :- 100+25% of 100 i.e., 100+25= 125

Subtract 20% of the resultant from it :- 125-20% of 125 i.e., 125-25= 100

The answer is 100%

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2 years ago

ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.

Marina86 [1]

See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units

the answer part a) is
BD= 8 units

Part b) Find angle CBD

we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°

the answer Part b) is
∠CBD=23 degrees