Answer:
23 is the smallest number
Step-by-step explanation:
Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.
All together they add to 72.
So n + n+1 +n +2 = 72.
3n + 3 = 72
3n = 69
n = 23
Answer:
1) 128°
2) 126°
3) 108°
<h2>
Question one:</h2>
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
<h2>
Question two:</h2><h2>
</h2>
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
<h2>Question three</h2>
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Answer:
the number is 6
Step-by-step explanation:
14-8=6
good luck!
Answer:
The value of x = 12 and the measure of each side is 23 units.
Step-by-step explanation:
Given: STU is an equilateral triangle.
ST = 2x -1
SU = 5x - 37
TU = x + 11
Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.
⇒ ST = SU = TU
or, 2x -1 = 5x - 37 = x + 11
Considering : 2x -1 = 5x - 37 , we get
-1 + 37 = 5x - 2x
or 3x = 36
or, x = 12
Considering : 5x - 37 = x + 11 , we get
5x -x = 11 + 37
or, 4x = 48 or, x = 12
Considering : x + 11 = 2x -1
or, 2x - 1 = x + 11
or, x = 12
hence, in all the cases value of x = 12
ST = 2x -1 = 2(12) -1 = 23 units
SU = 5x - 37= 5(12) -1 = 23 units
TU = x + 11 = 12 = 11 = 23 units
D*pi so 6cm * pi which is ~18.849cm
