A triangle always equal 180.
The two marks indicate that 3x and the unlabeled corner is congruent to each other.
Let the unlabeled corned be another x.
Add everything and equal it to 180.
3x+x+x=180
Combine like terms.
5x=180
Divide by 5.
x=36
Substitute the x in 3x for 36.
3(36)=108
Then subtract that number from 180.
180-108=72
Divide the 72 by 2 so it can come out evenly. That’s 36.
Thus
3x=108
x=36
Unlabeled=36
Hope this helps.
Answer:
The value of g is 144 when h is 2 and j is 3 .
Step-by-step explanation:
If g varies jointly with h and j.
g = khj
Where k is the constant of proportionality.
Put value in the above
k = 4 × 6
k = 24
As when h = 2 , j = 3 and k = 24 .
Put in the above
g = 2 × 3 × 24
g = 144
Therefore the value of g is 144 when h is 2 and j is 3 .
The Winding river is modeled by r(x)=
As bridges will be built along x-Axis to cross the river.
so,the bridges work as a tangent to river.
r'(x)=
So , r'(x)=0
→=0
→3x²+6 x+ 2 x+4=0
→3 x(x+2)+2(x+2)=0
→(x+2)(3 x+2)=0
x=-2, x= -2/3
As there are two values of x, from where we can draw tangents or bridges to the river.So there are maximum of two bridges that we need to built.
220 divided by 11 = 20
$20/hr
Well we know these two angles are congruent, so we set their angles equal to each other.
5w - 69 = w + 3
4w = 72
w = 18
Now we plug w back into one of the equations, and then multiply whatever number we get by 2.
18 + 3 = 21
21 x 2 = 42
The measure of STU is 42°