Answer:
The measure of angle x is 122.5 degrees.
The measure of angle y is 57.5 degrees
Step-by-step explanation:
180=y+x
y=x-65
180= (x-65)+x
180=2x-65
245=2x
x=122.5
y=122.5-65= 57.5
Answer:
g(-2)= -2 + 5 =3 ( here we chose the function g(x)= x+5 as x< 3)
Step-by-step explanation:
g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)
g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)
You can’t see the picture
Ok, so first know that the angle x and the angle oposite it (next to 52 degrees) are the same
and the 2 other angles in the triangle with the 52 degre angle are the same measure
there are several ways to solve, but all of them require us to find all the angles
so
notice that 2 angles in the triangle are the same measure
so
and also all angles add to 180 in a triangle
so ?+?+52=180
2?+52=180
minus 52 both sides
2?=128
divide both sides by 2
?=64
now we do another thing
consider the bigger trignalg
it has angles of ?, 52+x, and x (the double angle measure thing means same)
so
they add to 180
and ?=64
64+52+x+x=180
116+2x=180
minus 116 both sides
2x=64
divide both sides by 2
x=32
Answer:
Shannon has to make 41 trips to cycle a total of 50 kilometers.
Step-by-step explanation:
Given that
Shannon has cycled 9 kilometers this year
Let x be the number of trips that Shannon will make during the year
As she cycles 1km per trip, the total distance in trips will be: 1x
She has to cycle 50 kilometers in a year so the equation for this problem is:
Solving this equation will give us the number of trips she has to make
Hence,
Shannon has to make 41 trips to cycle a total of 50 kilometers.
