Answer:
x= 4
Step-by-step explanation:
The two triangles are similar so the ratios of both should be the same. Triangle DEF is 15 times bigger than triangle ABC so 60 divided by 15 is 4. Moral of the story 4 equals X
DE + EF = 4x+2
DE = x+7
EF = 7
Substitute these in
x + 7 + 7 = 4x + 2
x + 14 = 4x + 2
subtract x from both sides
14 = 3x + 2
subtract 2 from both sides
3x = 12
divide both sides by 3
x = 4
substitute this in to find the length of DE
DE = x + 7
(4) + 7 = 11
the answer is 11
If you're asking about the largest number that can be written with 3 digits in the given base:
• In base 2, the largest number with 3 digits is
111₂ = 1•2² + 1•2¹ + 1•2⁰ = 7
• In base 12, the largest number with 3 digits is
bbb₁₂ = 11•12² + 11•12¹ + 11•12⁰ = 1727
(in base 12, a₁₂ = 10 and b₁₂ = 11)
<span>A gallon of water weighs 8 1/3 lb
</span><span>1 1/5 gallon....................? lbs
</span>8 1/3 * 1 1/5
= 25/3 * 6/5
= 10
answer : <span>1 1/5 gallon of water weighs 10 lbs</span>