Answer:
x ≈ 3.1 ft
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector, thus
The triangle is right with base =
x
Applying Pythagoras' identity to the right triangle, then
(
x )² + 1.4² = 2.1²
x² + 1.96 = 4.41 ( subtract 1.96 from both sides )
x² = 2.45 ( multiply both sides by 4 )
x² = 9.8 ( take the square root of both sides )
x =
≈ 3.1 ft ( to the nearest tenth )
Answer:
2y -6
Step-by-step explanation:
5y - 3(y+ 2)
Distribute
5y -3y -6
Combine like terms
2y -6
Answer: e. 
Step-by-step explanation:
1. You have the following expression given in the problem:

2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by
. Then, you obtain:

#1 30
#2 150
#3 110
#4 60
#5 2x+50+3x=180
combine like terms
5x+50=180
subtract 50 from both sides
5x=130
divide both sides by 5 to isolate the variable
x=26
#5 3x=3(26)=78
#6 2x+50=2(26)+50=102
#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD
#8 AGE and FHD, CHF and EGB
4 is the GCF.
Explanation:
4x3=12
4x5=20
5 Isn’t a factor of 12, and 6 isn’t a factor of 20. Each number above doesn’t work, so the greatest common factor of the numbers 12 and 20 must be 4.