Answer:
a) TO = OP = 13
b) Height = 12
Step-by-step explanation:
a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.
Perimeter of triangle TOP = 36 cm
=> TO + OP + TP = 36
=> x + x + 10 = 36
=> 2x = 26
=> x = 13
=> TO = OP = 13 cm.
b) Apply Pythagorean theorem:
height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)
or
height^2 + (10/2)^2 = 13^2
or
height^2 + 25 = 169
or
height^2 = 144
or
height = 12
Hope this helps!
Answer:
x = 1/7
Step-by-step explanation:
2x + 3 = x + 15x + 6 − 5
<em>Combine like terms and solve:</em>
2x + 3 = 16x + 1
-14x + 3 = 1
-14x = -2
x = 1/7
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 70
Step-by-step explanation:
Interior angles of a 4 sided shape = 360
80+70 = 150
360-150 = 210
210/3 = 70
A true
because 53•(41•11)=23,903 and (53•41)•11=23,903
Hope this helped