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
Sometimes you just need to take a moment and really look for some hints that’ll help you. Rotate your page, maybe colour some lines.
Take a look at the picture, I coloured the lines and saw that the red and green angles are actually the same. And since the 90° angle is given, just subtract it from 140° to get your answer.
x = 50°
Answer:
Graph these points listed below
Step-by-step explanation:
Graph the following points:
(6 am, 50)
(9 am, 59)
(1 pm, 63)
(6 pm, 63)
(8 pm, 59)
(12 am midnight, 58)
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem =
=
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine =
=
=
So,
= 
= 
Sin90 = 1
sinB = 
B =
(
)
B = 57.5°
Answer:
47 very easy
Step-by-step explanation:
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