The system is "inconsistent".
The first and last equations describe parallel lines:
x +2y +3z = 12
x +2y +3z = 60
There are no values of x, y, and z that can satisfy both equations.
Answer:
The angles are 15 degrees, 45 degrees and 120 degrees
Step-by-step explanation:
The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees
Let x = the size of the largest angle of the triangle
Let y = the size of the middle angle of the triangle
Let z = the size of the smallest angle of the triangle.
x + y + z = 180 - - - - -- - - - - - - 1
The size of the largest angle is eight times the size of the smallest angle.
This means
x = 8z
The size of the middle angle is triple the size of the smallest angle. This means
y = 3z
Put x = 8z and y = 3z in equation 1
8z + 3z + z= 180
12z = 180
z = 180/12 = 15
x = 8z = 8×15 = 120
y = 3z = 3 × 15 = 45
Answer:
104.5 meters square
Step-by-step explanation:
The area of a trapezoid is found using the formula A = 1/2 (a + b)h. Substitute a = 8, b = 11 and h = 12.
The area is A = 1/2(8+11)*12.
A = 1/2 (19)*12 = 104.5
Answer:
D 0.00009
Step-by-step explanation:
9 × 10^-5 = 9 × 1/10^5 = 9 × 1/100,000
= 9 × 0.00001
= 0.00009
_____
<em>Comment on place value</em>
The exponent of 10 associated with the place value in a decimal number increases from 0 to the left of the decimal point, and decreases from -1 to the right of the decimal point:
100. = 10²
10. = 10¹
1. = 10⁰
0.1 = 10⁻¹
0.01 = 10⁻²
0.001 = 10⁻³
0.0001 = 10⁻⁴
0.00001 = 10⁻⁵
This simple realization can help you immensely with scientific notation.
Answer:
<h2>x = 12</h2>
Step-by-step explanation:
ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:
We have AD = 16, DC = x, DB = 9. Substitute:
<em>cross multiply</em>
