13-5=8
8+7=15 answer is 15
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m of AB
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = -
To find the midpoint of AB use the midpoint formula
M = [ (x₁ + x₂ ), (y₁ + y₂ ) ]
with (x₁, y₁ ) = )0, 0) and (x₂, y₂ ) = (2, 3), thus
M = [ (0 + 2), (0 + 3 )] = (1, )
Partial equation of perpendicular bisector is
y = - x + c
To find c substitute (1, ) into the partial equation
= - + c ⇒ c = + =
y = - x + → D
Answer:
Step-by-step explanation:
Given
Population Proportion =
Confidence level =95 %
For 95% confidence interval level is
=
=
The interval lies between
Answer:
<u>Congruent pairs of triangles:</u>
ΔABD ≅ ΔDCB
- AB≅CD - given
- ∠ABD ≅ ∠CDB - given
- BD≅DB - common side
- SAS - two sides and the included angle
ΔABD ≅ ΔEFD - SAS
- AB≅EF - given
- ∠ABD ≅ ∠EFD - given
- ∠ADB ≅ ∠EDF - vertical angles
- AAS - two angles and non-included side
<u>By using the above two we can state that:</u>
ΔBDC ≅ ΔDFE - by ASA or SSS
because
- BD ≅ DF (corresponding parts)
- AD ≅ BC (corresponding parts)
- AD ≅ ED (corresponding parts)
- and therefore BC ≅ ED
<u>We can't prove that:</u>
- ΔAGD is congruent with any of the others as not enough information
There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.