If alonzo is x then the equation is
x + (x +3) + 2(x + 3) = 57
Which equals
x + x + 3 + 2x + 6 = 57
4x + 9 = 57
4x = 48
x = 12
This means alonzo is 12 years old and alexis is 3 years older so alexis is 15 years old
Answer = 15 years old
Answer:
see below
Step-by-step explanation:
1. < 4 is the exterior angle of a triangle given
2. <1 + <2 + <3 =180 basic property of triangles
3. <3 + <4 are a linear pair <3 and <4 are adjacent and form a straight line
4. <3 and <4 are supplementary angles supplementary angles are linear pairs
5. <3 + <4 = 180 The definition of supplementary angles are that they add to 180 degrees
6. <1 + <2 + <3 = <3+ <4 Substitute <3 + <4 for 180 in equation from step 2
7 <1 + <2 = <4 Subtract <3 from each side using the subtraction property of equality
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer:
6/25
Step-by-step explanation:
Answer:
1
Step-by-step explanation: