Answer:
• x = 9
• y = 6√2
Step-by-step explanation:
The right triangles are all similar, so the ratios of hypotenuse to short side are the same:
27/x = x/3
x^2 = 81 . . . . . multiply by 3x
x = 9 . . . . . . . . take the square root
Then y can be found from the Pythagorean theorem:
x^2 = y^2 + 3^2
81 - 9 = y^2 = 72 . . . . . subtract 9
y = √72 = 6√2 . . . . . . .take the square root
The values of x and y are 9 and 6√2, respectively.
The two angles (6x+4) and 32 degrees are complementary angles. They add to 90 degrees. The two angles are adjacent and form a right angle. The right angle marker is the square marker. Two adjacent right angles form a straight angle (180 degrees)
Add up the angles and set the sum equal to 90. Then solve for x
(6x+4) + (32) = 90
6x+4 + 32 = 90
6x+36 = 90
6x+36-36 = 90-36 .... subtract 36 from both sides
6x = 54
6x/6 = 54/6 ... divide both sides by 6
x = 9
Since x = 9, this means that
6x+4 = 6*9+4 = 54+4 = 58
So the missing angle is 58 degrees (note how 58+32 = 90)
Answer:
x<-3 I HOPE THIS HELPED!!
Step-by-step explanation:
MARK AS BRAINLEST!!
Answer:
A. 3 batches
B. 180 cookies
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
slope is 2 which is the rate of change
