Step-by-step explanation:
m∠2 = m∠4
y + 10 = 3y - 24
y - 3y = -24 - 10
-2y = -34
y = -34/-2
y = 17
m∠2 = y + 10
m∠2 = 17 + 10
m∠2 = 27°
What do you think?
I'd say that multiplication applied to rational numbers cannot convert any of them to irrational numbers, so I believe the answer here is YES.
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
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The question is worded a bit weird, but if she doesn't want any leftover, and the flags are square then the width and length are equal. Also since the material is 4m wide, she could have a piece 2m long that could then be cut in half to make two 2m x 2m squares. If the width is to then be 2 meters, and the width is the same as the length, then the total width of the cloth (4m) is expressed as
2x²
This must equal the total area of cloth which is 4x, that is, the width (4m) times the length, x.
These two bold terms must be equal
