Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:

Simplify the equation, solving for x. Add 7 to both sides:

Subtract 2x from both sides:

The value of x is 7. Insert the value of x into the given length of AC:

Simplify multiplication:

Subtract:

Therefore, the length of the line segment AC is 14.
:Done
Answer:
y=50
x=30
z=100
Step-by-step explanation:
x+20=y
2y=z
x+y+z=180
x+y+2y=180
3y+x=180
-y+x=-20
4y=200
y=50
x=30
z=100
Answer:
$11
Step-by-step explanation:
44(0.75)=33
44-33=11
Answer:
y= (-3x +14.50) / 8
Step-by-step explanation:
Isolate the 8y
Subtract 3x from both sides
8y = -3x + 14.50
Then, isolate the left to only y
y= (-3x +14.50) / 8
Answer:
There exists a relationship between interpersonal violence and health.
Step-by-step explanation:
The relationship between interpersonal violence and health :
The null hypothesis will be ; the is no relationship between interpersonal violence and health while the alternative will negate the Null ;
If no relationship exists, correlation Coefficient = 0 and if a relationship exists, then correlation Coefficient is not = 0
H0 : ρ = 0
H1 : ρ ≠ 0
α = 0.05
Reported Pvalue = 0.016
Decison region :
Reject H0 ; If Pvalue < α
Therefore, Since Pvalue < α ; we reject H0 and conclude that there exists a relationship between interpersonal violence and health.