Answer:
Step-by-step explanation:
<u>Three faces are equal triangles with:</u>
- base = 8 units, height = 6 ft
<u>The base is a triangle with:</u>
- base = 8 ft, height = 6.9 ft
<u>Surface area is sum of areas of 4 faces:</u>
- S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²
Answer:
1. T =34
2.143 =exterior A
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
T+H+E =180
T + 107+39 = 180
Combine like terms
T +146 = 180
Subtract 146 from each side
T +146-146 = 180-146
T =34
The exterior angle is the sum of the opposite interior angles in a triangle.
B+T =exterior A
66 +77 = exterior A
143 =exterior A
Answer:
1st and second, unless you have already learned area of trapezoids. If you have, add third
Step-by-step explanation:
X intercept: y = 0
y= -3/4x -4
0 = -3/4 x - 4
4= -3/4 x
4 • -4/3 = x
-5.3 = x
y intercept: x = 0
y = -3/4 x -4
y = -3/4 (0) -4
y = -4
the points are (-5.3, 0) and (0, -4)
2x-4=3-x +1
<span>Simplifying
2x + -4 = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4
-4 + 2x = 4 + -1x
Solving
-4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x
-4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0
-4 + 3x = 4 + 0
-4 + 3x = 4
Add '4' to each side of the equation.
-4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0
0 + 3x = 4 + 4
3x = 4 + 4
Combine like terms: 4 + 4 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667</span>