Answer:
x = 30°
y = 5
Step-by-step explanation:
The ∆ where you find x is an isosceles ∆ because two of its sides has a length of 40 each, since the other triangle has equal angles of 60° each, it also has equal length sides of 40.
Therefore, x is a base triangle of the isosceles, thus:
x = ½(180 - (180 - 60))
x = ½(180 - 120)
x = ½(60)
x = 30°
Let's find y.
8y = 40 (sides of an equilateral ∆ are equal)
Divide both sides by 8
y = 5
Answer:
I would but my account only let's me share within my school district :/
Step-by-step explanation:
Answer:
k = 11
Step-by-step explanation:
f(x)=3x+k,
We know the input is -1 so replace x with -1 and the output is 8 so replace f(x) with 9
8 = 3(-1) +k
8 = -3+k
Add 3 to each side
8+3 = -3+3+k
11= k
We can simplify the ratio 12 : 4 by dividing both terms by the greatest common factor (GCF).
The GCF of 12 and 4 is 4.
Divide both terms by 4.
12 ÷ 4 = 3
4 ÷ 4 = 1
Therefore:
12 : 4 = 3 : 1
Answer:
6/10, simplified 3/5
Step-by-step explanation:
kinda tricky, but the fraction is stated right out.