Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
=50-(50*30%)
=50-(50*0.30)
=50-15
=$35
the new cost would be $35
The area of a triangle is a+b+c
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
Answer:
Step-by-step explanation:
Assuming the maximum score for the final is 
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of , their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where 
is the minimum score she needs.
Solving, we get:
.
