Answer:
Step-by-step explanation:
we know that
The algebraic expression of the phrase"The product of 6 and the quantity 9 more then the number x is 253" is equal to the number 6 multiplied by the sum of x and 9 and this result is equal to 253
so
solve for x
Average speed=totaldistance/ttoaltime
d=rt
40mph for 30mins (1/2 hr), travels 20mi
rest for 15min (1/4 hr), travels 0mi
swims at 32mph for 45min (3/4hr), travels 96/4=24mi
total distance=20+0+24=44
total time=1/2+1/4+3/4=1 and 1/2=3/2
44/(3/2)=44 times 2/3=88/3=29 and 1/3
about 29 and 1/3 mph
Answer:
y-axis, x-axis, y-axis, x-axis
Step-by-step explanation:
Alright, so this problem looks a lot harder than it really is. When you flip a point across the x axis, y becomes negative, and when it is flipped across the y axis, x becomes negative. This means that if the x value changes signs it was flipped on the y axis, and vice versa.
Answer:
The statement that is not true is;
c) m∠ABO = m∠ODC
Step-by-step explanation:
With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;
Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD
Vertices B and C on ΔABO and ΔOCD are corresponding vertices
Therefore;
Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively
Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD
Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD
Therefore;
m∠ABO = m∠OCD by definition of congruency
