Answer:
Total cards in a deck=52
Face cards =12
So probability of picking a face card is 12/52=3/13
Step-by-step explanation:
Usually there are 12 face cards in a group, so that would be 12/52 -- but wait! You can simplify, always. check. for. simplifying. possibilities.
Usually in an answer they will include both simplified, and not simplified. Believe it or not, usually they ask for the simplified. Make sure you read carefully.
Answer:
x
=
6
,
−
5
Step-by-step explanation:
Move x
to the left side of the equation by subtracting it from both sides. x^
2
−
30
−
x
=
0
x2-30-x=0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)/
2
a
-b±b2-4(ac)/2a
Substitute the values
a
=
1 , b
=
−
1 , and c
=
−
30
into the quadratic formula and solve for x
x
.
1
±
√
(
−
1
)
2
−
4
⋅
(
1
⋅
−
30
)/
2
⋅
1
Simplify.
x
=
1
±
11/
2
The final answer is the combination of both solutions.
x
=
6
,
−
5
68.25 mph because 273÷4=68.25 so the answer is 68.25 miles per hour
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar
(a)
The corresponding angles are congruent , that is
∠ A = ∠ D , ∠ B = ∠ E , ∠ C = ∠ F
(b)
The ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
24 ? = 168 ( divide both sides by 24 )
? = 7
