This is a equation of a ellipse (0,0) centered
Domais: {x∈R/-3≤x≤3}
Range:{y∈R/-2≤y≤2}
9514 1404 393
Answer:
Step-by-step explanation:
You know the linear pair z° and 105° are supplementary angles, so ...
z = 180 -105 = 75
The other base angle of the isosceles triangle has the same measure, 75°. __
Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...
75° +75° +x° = 180° ⇒ x = 180 -150 = 30
The second relation gives ...
75° +x° = 105° ⇒ x = 105 -75 = 30
__
y° is supplementary to the left-side base angle, so is ...
y = 180 -75 = 105
Of course, you could also figure y from the symmetry of the figure.
The values of x, y, z are 30, 105, 75, respectively.
Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 9 = 7x + 9 ( subtract 7x from both sides )
2x - 9 = 9 ( add 9 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72
MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72
The ratio of volumes is equal to the ratio of the cubes of the scale factor. Thus,
Volume ratio:
6³ : 7³
216 : 343
