Answer:
y = 8
x = 17
Step-by-step explanation:
We can find the missing values using similarity ratio
15/30 = y/16 cross multiply expressions
30y = 240 divide both sides by 30
y = 8
Now do the same for x
15/30 = x/34 cross multiply expressions
30x = 510 divide both sides by 30
x = 17
He would have to work 13 hours
Expression 3,
because 6 and 8 are factors of 48. Since positive 6 & 8 are the two numbers of choice, the product will be positive. My answer is reasonable because if you were to multiply positive 8 and 6 you will get positive 48.
You can look at those dots, for example, you see (2,8) and (2,2) then look at y and the difference is 6. so if you see it like that, (2,8) and (5,8) is 3, (5,8) and (5,4) would be 4, (5,4) and (8,4) would be 3, (8,4) and (8,2) would be 2, and lastly (2,2) and (8,2) is 6
Now you add all of them up which will be 6+3+4+3+2+6 = 24
so the perimeter of this figure is 24<span />
Answer:
The value of x is 11
Step-by-step explanation:
<em>Two angles are complementary if the sum of their measures is 90°</em>
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
