Answer:
x=2°
Step-by-step explanation:
The given angles are corresponding angles.
Corresponding angles are congruent.
7x+3=8x+1
2=x
x=2
The number of patches that Leia can cut from 32 pieces of the fabric measuring 18 cm by 10 cm will be as follows:
Number of pieces=[total area of fabric]/[area of patch]
area of fabric=18×10=180 cm²
Area of 32 patches=180×32=5760 cm²
Area of patch=45 cm²
Number of patches=5760/45=128 patches
Answer:
The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
Answer:
17 rows
Step-by-step explanation:
We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.
Since we are given the total number of spaces of 408. We let f(x) = 408
2x² - 10x = 408
Now we solve as a quadratic, subtract 408 to both sides
2x² - 10x - 408 = 0
Divide 2 on both sides
x² - 5x - 204 = 0
We look for terms that multiply to -204 and add to -5.
Those terms are -17 and 12
x² - 17x + 12x - 204 = 0
x(x-17) + 12(x-17)
(x+12)(x-17)
x = -12 x = 17
We can not have -12 rows but we can have 17 rows.
17 rows is the answer.