Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
Answer:
Answers are below.
Step-by-step explanation:
Hope this helps:)
He arrives at 9:30 because if you take 8:40 (when dealing with time I like to think of it as a whole number so 8:40 would become 840) then just add 50 minutes to 8:40 (or 840+50 which equals 890 also know as 9:30 because you have to subtract 60 from 90 (because 60 is the limit in time (well technically 59 is)) then add one to 8 like so, which equals 9:30 Enjoy!=)
Answer:
Giovanni was 0.5 miles from the finish line
Step-by-step explanation:
This is a problem of movement with constant velocity.
For this kind of problems, generally it is enough to remember the definition of average velocity v:
Where x is the change in position that took place in an interval t.
First, find the time that Jean, who cycled at 24 miles per hour, spent on the race:
Isolating t from the last equation,
, and replacing the data for Jean movement:
Second, find what was the distance that Giovanni had cycled when Jean crossed the line:
When Jean crossed the line he had cycled 120 miles, and Giovanni 119.5; so Giovanni was 0.5 miles from the finish line.
Oh this is a great question. For future reference, the formula for this would be called an exponential growth or decay function, here it Is;
Y = a( 1+r )ˣ or Y = a( 1 - r )ˣ
the answer could be found by plugging your numbers into these equations
For example:
Y = 15,250 ( 1 - .075)⁶
A value = starting value of object
R value= decimal equivalent of percent increase or decrease
x value = number of years it has been
Answer : $9552.57
