Answer:
jk = 2uv
uw = 1/2kl
Answer:
B
Step-by-step explanation:
Answer:
m = 19/14 so the third point is (8, 19/7).
Step-by-step explanation:
If they are co-linear then the the slope will be equal.
The slopes of the lines are:
(difference in y coordinates) / (difference in corresponding x coordinates)
Slope between the first 2 points = (-3-1) / (-2-5) -4 / -7
= 4/7.
So if the 3 points are co-linear:
4/7 = (2m - -3) / (8 - -2)
4/7 = (2m + 3 / 10
7(2m + 3) = 40
14m + 21 = 40
14m = 19.
m = 19/14.
Answer:
44.47 cm² (nearest hundredth)
Step-by-step explanation:
Area of ΔABC = 1/2 x base x height
⇒ 21 = 1/2 x 7 x BC
⇒ BC = 6 cm
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AB² + BC² = AC²
⇒ 7² + 6² = AC²
⇒ AC² = 85
⇒ AC = √85 cm
Cosine rule to find length AD:
c² = a² + b² - 2 ab cosC
⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)
⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°
⇒ AD² - 5.39106...AD + 0.36 = 0
⇒ AD = 5.323442445, 0.06762541414
⇒ AD = 5.323442445
Area of a triangle ADC: (1/2)absinC
(where a and b are adjacent sides and C is the angle between them)
⇒ area = (1/2) × AC × AD × sin(DAC)
⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)
⇒ area =23.4675821... cm²
Area of quadrilateral = area of ΔABC + area of ΔADC
= 21 + 23.4675821...
= 44.47 cm² (nearest hundredth)
Answer:
meh
14fri
Step-by-step explanation:
