2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2
Answer:
2x+ 2.1 = 7.5
x=2.7
Step-by-step explanation:
The perimeter of an isosceles triangle with sides x and y is
2x+y = P
I put y as the single side since the question said y is the shortest side. It should say shorter sides if the two sides with the same length are smaller than the third.
We know y =2.1 and P = 7.5
Substituting these values in, we get
2x+ 2.1 = 7.5
Subtract 2.1 from each side
2x+2.1 -2.1 = 7.5 -2.1
2x= 5.4
Divide each side by 2
2x/2 = 5.4/2
x = 2.7 m
Answer:
D
Step-by-step explanation:
The boxes with whole numbers in them written as coordinates:
(-4, -11)
(8, -8)
we know gradient is rise over run, or (y2 - y1) / (x2 - x1)
gradient = (-8 - -11) / (8 - -4)
gradient = 3 / 12
gradient = ¼
Answer: Andre picked 252 pounds of apples
Step-by-step explanation:
Let x = number of pounds of apple picked by Jane.
Let y = number of pounds of apple picked by Andre
Let z = number of pounds of apple picked by Maria
Andre picks three times as many pounds as maria. It means that
y = 3z
Jane picks two times as many pounds as Andre. It means that
x = 2y
The total weight of the apples is 840 pounds. It means that
x + y + z = 840 - - - - - - - - - 1
We will substitute z = y/3 and x = 2y into equation 1
2y + y + y/3 = 840
Cross multiplying with 3
6y + 3y + y = 2520
10y = 2520
y = 2520/10 = 252
x = 2y = 252× 2 = 504
z = y/3 = 252/3 = 84
The step in this problem is do 1/4 + 1/3= ?
and see what you get
