9514 1404 393
Answer:
Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
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Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
1 case of note cards = 20 packs
1 pack = 50 note cards
50 x 20 = 1000 note cards in one case.
1000 / 10 = 100
Each person will receive 100 note cards.
Hope this helps!! :)
Answer:$387.27
Step-by-step explanation:
Hope this helps.
Answer:
x = 32, y = 51
Step-by-step explanation:
You know the longest side of ΔTUS is 13m and the longest side of ΔMNP is (2x-y). Thus:
2x - y = 13 --- Equation 1
You know the sum of angles in a triangle is 360°. Two of the angles are given in ΔMNP (142° & 24°) and the remaining angle is (2x-50)°. Thus:
142 + 24 + 2x - 50 = 180
2x + 116 = 180
2x = 180 - 116
2x = 64
x = 64 ÷ 2
x = 32 --- Equation 2
Substitute x = 32 into Equation 1:
2(32) - y = 13
64 - y = 13
-y = 13 - 64
= -51
y = 51 --- Equation 3