Answer:
Step-by-step explanation:
12/25 =
12 ÷ 25 =
0.48 =
0.48 × 100/100 =
0.48 × 100% =
(0.48 × 100)% =
48%;
Answer:
Step-by-step explanation:
Diagonal is 60 inches, height is 24 inches so
60^2 = 24^2 + width^2
6.25 inches
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem =
=
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine =
=
=
So,
= 
= 
Sin90 = 1
sinB = 
B =
(
)
B = 57.5°
Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side
