DB is a median (given). It goes from vertex point D to midpoint B.
The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC
AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer
5=4x+2x-7
5+7=6x
12=6x
12/6=6x/6
2=x
The value of x is 5
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions made up;
- Factors
- variables
- terms
- constants
They also consist of mathematical operations such as addition, multiplication, division, subtraction, parenthesis, brackets, etc
We have the expression as;
7.5x = 5.5x + 10
collect like terms
7.5x - 5.5x = 10
subtract the like terms
2.0x = 10
Make 'x' the subject
x = 10/2. 0
x = 5
Thus, the value of x is 5
Learn more about algebraic expressions here:
brainly.com/question/4344214
#SPJ1
Answer:
a= d-r +c
Step-by-step explanation:
a-c = d-r
+c
a= d-r +c
Answer:
We draw line AB which is perpendicular to the 14 cm side
Since Angle C is 60 degrees that makes angle CAB = 30 degrees
Triangle CAB is a 30 60 90 triangle so line CB is half the hypotenuse or 5 cm
Line BD equals 9 cm
Line AB^2 = 10^2 - 5^2 = 75
Line AD^2 = AB^2 + BD^2
Line AD^2 = 75 + 81
Line AD^2 = 156
Line AD = 12.4899959968
Line AB = Sqr root (75) = 8.6602540378
Angle D = arc sine (8.6602540378 / 12.4899959968)
Angle D = 43.898 degrees
Angle A = 180 - 60 - 43.898 = 76.102 degrees
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Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.
Step-by-step explanation:
