Answer:
t = 1
Step-by-step explanation:
1) Subtract 4 from both sides so you get -2t = -2
2) Divide both sides by 2 so you get t = 1
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
Step-by-step explanation:
The given is,
Gabrielle is cutting a triangular sign
Base of 8 inches
The perpendicular distance from the base of the sign to its vertex is 9 inches
Step:1
Formula for area of triangle is,
Area,
.....................................(1)
Where, b - Base of triangle
h - Height of triangle
From given value,
b - 8 inches
h - 9
Equation (1) becomes,
= 36
Area of triangle sign, A = 36 square inches
Result:
The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.
For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
<h3>
angle NOP = 68 degrees</h3>
Answer:At 95% confidence interval, the lower end is 64.306 and the upper end is 64.614
At 98% confidence interval, the lower end is 64.268 and the upper end is 64.652
Step-by-step explanation: