9514 1404 393
Answer:
x = 19
A = 30°
B = C = 75°
Step-by-step explanation:
In an isosceles triangle, the angles opposite the congruent sides have the same measures.
A = B
3x +18 = 7x -58
76 = 4x . . . . . . . . add 58-4x
19 = x . . . . . . . . . divide by 4
Then the equal angles measure ...
A = B = 3(19) +18 = 75
C = 2(19) -8 = 30
Angles A, B, C measure 75°, 75°, 30°, respectively.
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<em>Alternate solution</em>
The sum of angles in a triangle is 180°, so you could write ...
(3x +18) +(7x -58) +(2x -8) = 180
12x = 228 . . . . . add 48
x = 19 . . . . . divide by 12
Answer: $2000 + 0.08s ≥ $2500
Step-by-step explanation:
The expression that will be used to calculate the earnings of Liz will be:
= b + (c × s)
Where:
b = base salary = $2,000
c = commission rate = 8% = 8/100 = 0.08
s = the sales that the commission rate will be applied against.
The inequality to find amounts of sales that will meet Liz goal will be:
= b + (c × s)
= $2000 + (0.08 × s) ≥ $2500
= $2000 + 0.08s ≥ $2500
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
Answer:
Option (3)
Step-by-step explanation:
Perpendicular lines: Perpendicular lines are the lines that intersect each other at right angles
Intersecting lines: Intersecting lines are the lines that intersect each other at a point to form angles but vertically opposite angles are equal
Hence , from above conclusion we can write Perpendicular lines must cross to form ninety degree angles, but intersecting lines cross to form angles of varying measures.
Hence , Option (3) is correct answer
<h3>
Answer:</h3>
A. 28
<h3>
Step-by-step explanation:</h3>
We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°
