X and 73 are same-side interior angles, which are supplementary (they add up to 180).
x + 73 = 180
x = 107
X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.
x = 6y - 79
107 = 6y - 79
6y = 186
y = 31
Hope this helps!
Answer:
See below.
Step-by-step explanation:
Values are excluded if they make the denominator zero, so one rational expression could be:
(x^2 - 9) / (x + 4)(x + 7)
- when x = -4 or -7 then the denominator is zero so the values of the function is undefined for these values.
Answer:
The distance is 2.2360....
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
5/6 as there is 6 jumps and the dot is placed on the fifth therefore being 5/6
The complete question in the attached figure
Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm
the answer part a) isAB=6 cmPart b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³
the answer part b) is 100 cm³