Answer:
- x = 30°, y = 45°
- w = 14√2, v = 7√2
Step-by-step explanation:
ΔABC
- BC/AB = sin x
- 12/24 = sin x
- 1/2 = sin x
- x = 30°
ΔDBC
- DC = BC - given
- ∠C = 90° - given
- ΔDBC is isosceles right triangle
∠BDC ≅ ∠DBC ⇒ y = 45°
-------------------------------------------
ΔMPN is right isosceles triangle ⇒ MN = PN√2 = 14√2
ΔMKP is right isosceles triangle ⇒ MK = KP
- v = 1/2MN = 1/2(14√2) = 7√2
Answer:
-8 & -7
Step-by-step explanation:
-8+-7=-15
-8*-7=56
Answer:

Step-by-step explanation:
2x² + 3x + 3 = 20
⇔ 2x² + 3x + 3 - 20 = 0
⇔ 2x² + 3x - 17 = 0
<u>Using the Quadratic Formula to solve a Quadratic Equation</u> :

In the equation 2x² + 3x - 17 = 0
a = 2 , b = 3 and c = -17
Then
b² - 4ac = 3² - 4×2×(-17)
= 9 + 8 × 17
= 9 + 136
= 145
Then
b² - 4ac > 0
Then

Then

Triangle AEB and triangle CED (second option)
ANSWER: 7.53
Step-by-step explanation:
To convert a percent to decimal you need to divide the percent by 1,
753% ÷ 1 = 7.53