-42.15+12.45=-30...............................
Answer:
z = 68, x = 9
Step-by-step explanation:
z must equal 68 since they're vertical angles.
-----------------------------
180 - 68 = 112
12x + 4 = 112
---> x = 9
Answer:
Step-by-step explanation:
In order to complete the square, you want to convert a quadratic from the form -
to the form-
If you're in a hurry,
and you can convert from there.
Answer:
Step-by-step explanation:
The store gave her back the difference (20%-15%= 5%)
5%= the $17 returned
100/5= 20
20*17= $340 which was the original price of the TV before discounts
Answer:
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
Step-by-step explanation:
The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117
°.
angle TDE = 117°
angle DTE = 180° - 117° - 31° = 32°
DE = 346.4 m
Side TD can be find using sine law
346.4/sin 32° = TD/sin 31°
cross multiply
346.4 × 0.51503807491 = 0.52991926423TD
178.409189149 = 0.52991926423TD
divide both sides by 0.52991926423
TD = 178.409189149/0.52991926423
TD = 336.672397461
TD ≈ 336.67 m
The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.
Using sin ratio
sin 63° = opposite/hypotenuse
sin 63° = h/336.67
cross multiply
h = 336.67 × 0.89100652418
h = 299.975166498
height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)
