<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>
<em>thus in ΔABC and ΔADC, ∠ABC=∠ADC (given), </em>
<em> ∠BAC=∠CAD [from (1)],</em>
<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>
<em>Hence, by AAS axiom, ΔABC ≅ ΔADC,</em>
<em>Therefore, BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD), since (1)</em>
<em />
Hence, BC=DC proved.
Answer:
f = -10
( -3, -4) ( - 4 , -10)
Step-by-step explanation:
Formula for slope
m =( y_2 - y_1)/(x _2 - x _1)
m = 6
6 = (y_2 - y_1) / (x _2 - x_1)
Substitute the points
( -3 , -4) ( -4 , f)
x_1 = -3
y_1 = -4
x_2 = -4
y_2 = f
Insert the values into
6 = (y_2 - y_1) / (x_2 - x_1)
6 = (f - (-4))/ ( -4 - (-3)
6 = ( f + 4)/ ( -4 + 3)
Cross multiply
6 ( -4 + 3) = f + 4
6 ( -1) = f + 4
-6 = f + 4
-6 - 4 = f
f = -6 - 4
f = -10
( -3 , -4) ( -3 , f)
The value of f is -10
( -3 , -4) ( -3 , -10)
Answer:
If the question is fix the sentence than here:
Step-by-step explanation:
A fish that has been dried in the sun lasts longer than a wet fish.
Answer:A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle.
The sides can be found by taking the square root of the area. , where = side. . So the length of a side is 6.3 cm.
Step-by-step explanation:
We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long.
