Answer:
(3.) x = 45
Step-by-step explanation:
Because the lines are parallel and cut by the same line, the angles within are equal as well.
Which means that...
Angle GE = Angle EFD
Therefore (2x-30) = (x + 15)
2x - 30 = x + 15
+30 +30 (add 30 to both sides to get rid of the -30)
2x = x + 45
-x -x (subtract x from both sides to get rid of the single positive x)
x = 45
16 fluid ounces = 1 pint
so to find how many 1 pint containers you need to divide :
32 fluid ounces ÷ 16 fluid ounces = 2 pints
hope this made sense
Answer:
3/22
Step-by-step explanation:
-1/4 . (-6/11)
- You have to multiply the signs: As both are negative, the result will be positive.
- You have to multiply the numbers in the top part (numerators) and the numbers in the bottom part (denominators)
1 . 6 / 4 . 11 = 6/44
- Finally, you must simplify the answer by dividing both numbers among the same divisor, in this case the number is 2
6÷2 / 44÷2 = 3/22
The equation that could be used to solve for the length of XY is XY = 22/sin(41)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Sine rule is used to show the relationship between the sides and angles of a trinagles.
Using sine rule on triangle XYZ:
XY / sin(Z) = XZ / sin(Y)
XY / sin(90) = 22/sin(41)
XY = 22/sin(41)
The equation that could be used to solve for the length of XY is XY = 22/sin(41)
Find out more on equation at: brainly.com/question/2972832
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Answer:
∠ A ≈ 48°
Step-by-step explanation:
Using the Cosine rule to find an angle
cosA = 
with a = 10, b = 13 and c = 11
cosA = 
= 
=
, thus
A =
(
) ≈ 48° ( to the nearest degree )