Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
Check the attachment or picture for the completed worksheet.
Step-by-step explanation:
believe it or not, the area of any triangle is
baseline × height / 2
we have here 2 triangles, both with the same baseline (8 cm), but with 2 different heights : 6.5 cm and 4.6 cm.
so, their areas are
8 × 6.5 / 2 = 4 × 6.5 = 26 cm²
8 × 4.6 / 2 = 4 × 4.6 = 18.4 cm²
so, in total, the shaded region is
26 + 18.4 = 44.4 cm²
Answer:
C:) 17/3
Step-by-step explanation:
Simplify the following:
((3 + 2/5)×5)/3
((3 + 2/5)×5)/3 = ((3 + 2/5)×5)/3:
((3 + 2/5)×5)/3
Put 3 + 2/5 over the common denominator 5. 3 + 2/5 = (5×3)/5 + 2/5:
((5×3)/5 + 2/5 5)/3
5×3 = 15:
((15/5 + 2/5)×5)/3
15/5 + 2/5 = (15 + 2)/5:
((15 + 2)/5×5)/3
15 + 2 = 17:
(17/5×5)/3
17/5×5 = (17×5)/5:
((17×5)/5)/3
((17×5)/5)/3 = (17×5)/(5×3):
(17×5)/(5×3)
(17×5)/(5×3) = 5/5×17/3 = 17/3:
Answer: 17/3
It’s a process of bringing one variable to the side with different forms of mathematical properties. First, subtract 2 from the left side and add it to the right side. Then divide 1/4x by 1/4 to get x alone, and divide the right side (-2) by 1/4, which will give you the answer to x. Let me know if you need help with anything else!