Answer:
No, a quadrilateral with the given vertices is not an isosceles trapezoid.
Step-by-step explanation:
We are given that
A(3,3), B(5,3), C(8,1), D(1,1)
Slope formula:
Slope of AB=
Slope of BC=
Slope of CD=
Slope of AD=
Slope of AB=Slope of CD
When slopes of two lines are equal then the lines are parallel.
Therefore, AB is parallel to CD.
When one pair of quadrilateral is parallel then the quadrilateral is trapezoid.
ABCD is a trapezoid.
Distance formula:
Using the formula
Length of BC=
Length of BC= units
Length of AD=
Length of AD=
Length of AD is not equal to length of BC.
Hence, trapezoid is not an isosceles trapezoid.
Answer:
Do you what the graph?
Step-by-step explanation:
Answer:
7 hours
Step-by-step explanation:
John already has $100 in his account if he works for 7 hours he will make $85.75 which is more than enough and he will have $185.75. If he worked for 6 hours he will make only $73.50. Which then he will have $173.50. So that is why the answer is 7 hours.
Answer:
x - 6
Step-by-step explanation:
divide number of mangoes bought by number of groups, that is
= ← numerator is difference of squares
cancel the factor (x + 3) on numerator/denominator
number in each group = x - 3
subtract 3 rotten mangos from group for good mangoes
good mangoes = x - 3 - 3 = x - 6
Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved