Remember the notation..
When you have a triangle called ABD, the angles may be called in theses equivalent ways>
angle A is equivalent to ∠ DAB
angle B is equivalent to ∠ ABD
angle D is equivalen to ∠ BDA
Then given that the two triangles are congruent, you can say an
angle B = angle F = ∠ EFC
So the answer is the last option of the list.
Answer:
3
Step-by-step explanation:
Given that:
Integers : x, x + 1, x + 2
6x - 2(x + 1) = (x+2) + 5
6x - 2x - 2 = x + 2 + 5
4x - 2 = x + 7
4x - x = 7 + 2
3x = 9
x = 9/3
x = 3
First integer = x = 3
2nd integer = x + 1 = 3+1 = 4
3rd Integer = x + 1 + 1 = 3 + 2 = 5
Answer: 
Step-by-step explanation:
Given : The fuel efficiency of car = 7.6 km per kilogram
We also given that
1 mile = 1.609 km
Then, 
1 gallon = 3.785 liters
1 liter of gasoline = 0.729 kg
Then, 
Now, the fuel efficiency of car will be :
Hence, the car’s fuel efficiency in miles per gallon= 4.5
Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2
You would be multiplying pi (3.14) by the number 5
