Step-by-step explanation:
sum of 2 angles on a straight line = 180°
therefore,
y + 120 = 180
y = 180 - 120 = 60
y = 60°
now apply angle sum property of triangle
now,
50 + x + y = 180
50 + x + 60 = 180
110 + x = 180
x = 180 - 110
x = 70
therefore, x = 70 & y = 60
hope this answer helps you dear! take care
Solution:
Given:
To get the product of the polynomial; we use the distributive property of multiplication.
Therefore, the product of the polynomials is;
Answer:
A = 15 cm^2
Step-by-step explanation:
The area of a triangle is found by
A = 1/2 bh
A = 1/2 (10) * 3
A = 15 cm^2
Take the natural log of both sides
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer:
B. 0, 1, 2, 3
Step-by-step explanation:
If n were to be 4, the expression would then be incorrect because 36 is not greater than itself. However, if n was 0, 1, 2, or 3, each value would be less than 36, which is what we are looking for.
36 > 9n
36 > 9(0)
36 > 0
Correct!
36 > 9n
36 > 9(1)
36 > 9
Correct!
36 > 9n
36 > 9(2)
36 > 18
Correct!
36 > 9n
36 > 9(3)
36 > 27
Correct!
36 > 9n
36 > 9(4)
36 > 36
Incorrect! This expression would only be correct if the sign was representative of greater than or equal to, rather than just equal to.
I hope this made sense! Have an amazing day. :)
