Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,
By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;
therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
Answer: 6x + 8y =1,245
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each person:
Jack = The total cost (650) must be equal to the product of the number of shirts he bought (2) and the price per shirt (x); plus the product of the number of pair of jeans he bought (5) and the price per jean (y).
2 x+ 5 y=650
Dylan = The total cost (595) must be equal to the product of the number of shirts he bought (4) and the price per shirt (x); plus the product of the number of pair of jeans he bought (3) and the price per jean (y).
4x+3y = 595
Vertical addition:
2 x+ 5 y=650
+
4x+3y = 595
_________
6x + 8y =1,245
The exact value of cos 45 as per the special triangle would be
Cos 45 = 1/✔️2
Rationalizing the denominator gives
✔️2/2 = 0.707.
6 goes into both 42 and 108 (9x12 so you are working with equal measurements) and you get 7/18
