Answer:
x = 25
Step-by-step explanation:
If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°
By the opposite angle rule, ∠JLK = 39°
In a triangle three angles sum up to 180°
so, ∠JLK + ∠JKL +LJK = 180°
39° + 61° + 3x+ 5 = 180°
3x = 75
x = 25
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: Olga's solution is incorrect
x + 7x is the same as 1x + 7x
7x2 is the same as 7x. x
x + 7 x simplifies to 8x
Step-by-step explanation:
The answer is (-4,-4) because y has to equal x, the first -4 is the x and the second one is the y