In a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.
Area of a right triangle = ab/2
a = long leg ; b = short leg
Given measures are:
a = 4 yd ; b = 3 yd
A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.
the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.
[ Answer ]
[ Explanation ]
Area Of Rectangle: Length * Width
2 4/5 * 1 1/5
=======================
Convert Fractions Into Mixed Numbers:
2 4/5 = 14/5
1 1/5 = 6/5
Multiply Across:
14 * 6
5 * 5
= 84/ 25
Simplify:
3 9/25
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<span>1) supplementary angles => sum of angles' measure is 180°
Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two
= > angle 1 + angle 2 = 180°
Then those two match.
2) complementary angles => sum of the two angles = 90°
Two lines intersecting in a right angle with a square indicating a right
angle in quadrant one and a ray splitting quadrant two with a two
labeling the left angle and one labeling the angle on the right
=> angle 2 + angle 1 = 90°
Then those two match
3) vertical angles
Two parallel horizontal lines intersected by a vertical line with a
square indicating a right angle in quadrant one of the top line and a
one labeling the angle in quadrant two and two labeling quadrant four of
the top line
Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.
4) adjacent angles
Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Those two match becasue the angle of 157° and the angle of X° are adjacent.
</span>
Answer:
x = 5
Step-by-step explanation:
using the Pythagorean theorem:
(x-1)² + (x-2)² = x²
x²-2x+1 + x²-4x+4 = x²
reduce:
2x²-6x+5 = x²
subtract x² from each side:
x²-6x+5 = 0
(x-1)(x-5) = 0
x=1 but because shorter leg would be 0, a triangle would be impossible.
x=5
(6,-9) (-5,3) (1/2,-1) (2,-4) (11,-5)
