Width: x
length: x + 4
Equation: 2(x + x + 4) = 56
2(2x + 4) = 56
4x + 8 = 56
4x = 48, x = 12
Width = 12, 12 + 4 = length
Solution: the length is 16 inch
Lights flash every four seconds. the store owner turns on the lights. After how many seconds Will all three lights flash at the same time for the first ...
Answer: -2x + 9
First, Use the distributive property: 3(x+3)-5x (3 multiplied by x is 3x and 3 multiplied by 3 is 9
Next, subtract the variable x: 3x+9-5x (3x-5x=-2x
The answer is -2x+9
Because you have two variables and only one equation, you can only solve for approximate answers, and not complete, absolute answers.
<h3><u>You can simplify this equation to x = -4y + 12</u></h3>
y - 3 = -1/4(x + 3)
Distributive property.
y - 3 = -1/4x - 3/4
Multiply all terms by 4.
4y - 12 = -x
Multiply all terms by -1
-4y + 12 = x
Answer:
∠1 ≅ ∠2 ⇒ proved down
Step-by-step explanation:
#12
In the given figure
∵ LJ // WK
∵ LP is a transversal
∵ ∠1 and ∠KWP are corresponding angles
∵ The corresponding angles are equal in measures
∴ m∠1 = m∠KWP
∴ ∠1 ≅ ∠KWP ⇒ (1)
∵ WK // AP
∵ WP is a transversal
∵ ∠KWP and ∠WPA are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠KWP = m∠WPA
∴ ∠KWP ≅ ∠WPA ⇒ (2)
→ From (1) and (2)
∵ ∠1 and ∠WPA are congruent to ∠KWP
∴ ∠1 and ∠WPA are congruent
∴ ∠1 ≅ ∠WPA ⇒ (3)
∵ WP // AG
∵ AP is a transversal
∵ ∠WPA and ∠2 are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠WPA = m∠2
∴ ∠WPA ≅ ∠2 ⇒ (4)
→ From (3) and (4)
∵ ∠1 and ∠2 are congruent to ∠WPA
∴ ∠1 and ∠2 are congruent
∴ ∠1 ≅ ∠2 ⇒ proved
