Answer:
an obtuse triangle cause the other angle is more than 90
Step-by-step explanation:
Answer:
Step-by-step explanation:
To calculate the speed of each one we proceed as follows:
speed=distance/time
a] Noah's speed:
distance=2.5 miles
time=3/5 hours
speed=(2 1/2)/(3/5)
=(5/2)/(3/5)
=5/2×5/3
=25/6
=4 1/6 mi/hr
Emily's speed
distance=3 3/4 miles
time=5/6 hour
thus
speed=(3 3/4)/(5/6)
=15/4)/(5/6)
=15/4×6/5
=4 1/2 mi/hr
Anna's speed:
distance=3 1/3 miles
time=3/5
speed=(3 1/3)/(3/5
=(10/3)/(3/5)
=10/3×5/3
=5 5/9 mi/hr
Anna was the fastest
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem