The length of segments ab is 24
The unit vector is given by the following formula:
a '= (a) / (lal)
Where,
a: vector a
lal: Vector module a
We are looking for the module:
lal = root ((- 15) ^ 2 + (8) ^ 2)
lal = 17
Same direction:
a = -15i + 8j
The unit vector is:
a '= (1/17) * (- 15i + 8j)
Opposite direction:
a = 15i - 8j
The unit vector is:
a '= (1/17) * (15i - 8j)
Answer:
a unit vector that has the same direction as the vector a is:
a '= (1/17) * (- 15i + 8j)
a unit vector that has the opposite direction of the vector a is:
a '= (1/17) * (15i - 8j)
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
E: L is perpendicular to a line with slope 
.
Lines are perpendicular if the negative reciprocal of the slope is equal. For example, the reciprocal of 
is 
(remember, to get the reciprocal, simply switch the numerator and the denominator).
So, the negative reciprocal of is . This represents the slope of a line that is perpendicular.
If you would like to know what is the value of the total ticket sales, you can calculate this using the following steps:
$x ... the value of the total ticket sales
5% of $x is $125
5/100 * x = 125 /*100/5
x = 125 * 100 / 5
x = $2500
Result: The value of the total ticket sales is $2500.
