Answer:
x = 14
Step-by-step explanation:
Since they are similar triangles, their sides are proportional
12 : 15 :: 8 : x - 4
Product of extremes = Product of means
12 × ( x- 4 ) = 15 × 8
12x -48 = 120
12x = 120 + 48
12x = 168
x = 168/12
x = 14
The units are ordered smallest to largest from top to bottom:
Picometer (pm) = 1 x 10⁻¹² meters
Nanometer (nm) = 1 x 10⁻⁹ meters
Micrometer (um) = 1 x 10⁻⁶ meters
Millimeter (mm) = 1 x 10⁻³ meters
Centimeter (cm) = 1 x 10⁻² meters
Decimeter (dm) = 1 x 10⁻¹ meters
Meters (m) = 1 meter
Kilometers (Km) = 1 x 10³ meters
Answer:
Hi! The correct answer is x= -7/2
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.
Answer:
$3 for Syd and $5 for Mark
Step-by-step explanation:
when Mark worked 8 hours and Syd worked 10 hours they earned $80
when Mark worked 9h Syd worked 5h they earned $65
we can make a equation out of these information
8M + 10S = $80
9M + 5S = $65 we can use the systems of equations by eliminating method
multiply second equation by -2
-2 × (9M + 5S) = $65
-18M - 10S = -$130 now add up the new equation with the first one
8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)
-10M = -$50
10M = $50
M = $5
we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)
9×5 + 5S = $65
45 + 5S = $65
5S = $15
S = $3
The opposite of 4 is negative 4, or -4
