51 I thinks that’s the correct answer
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Answer:
44°
Step-by-step explanation:
8x - 4 = 6x + 8 (This is because they are corresponding angles)
8x - 6x = 8 + 4
2x = 12
x = 12 ÷ 2
x = 6
6x + 8 = angle 1 (Vertically opposite angles are equal)
Substitute the value of x in the equation '6x +8' to get the size of the angle.
6 × 6 + 8
36 + 8 = 44°
Angle 1 = 44°
Answer: C, WXZ and WXU are adjacent angles.
Step-by-step explanation:
A is incorrect because TUX and VUS are vertical angles.
B is incorrect because YXZ and TUX have no relationship.
C is correct because WXZ and WXU are supplementary angles, thus adjacent.
D is inccorect because VUX and TUS are vertical angles.
Answer:
Width: 3
Hight:3
explain, I made a block that was 4 blocks long then using the left over material i rearranged the blocks
Step-by-step explanation:
