Solve the area of the whole circle since in an hour, the minute hand covers the whole clock
assuming that the minute hand reaches all the way out to the edge of the clock
the minute hand is the radius
area=pi times r^2
r=5
5^2=25
area=pi times 25
area=25pi
aprox pi=3.14
25 times 2.14=78.5
area=78.5 in^2
Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so

we have

substitute

------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x



Find the value of y


therefore
The measure of arc EHL is 
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL

we have

substitute

Answer: verdadero.
Step-by-step explanation:
En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.
Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.
Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.
Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.
Answer:
x=52
Step-by-step explanation:
90+34
124
180 (sum of all interior angles) - 124
56
x+72+56=180 (straight line)
x+128=180
-128 -128
x=52
*replace to verify*
52+72= 124
124+56= 180 (straight line)