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mixer [17]
4 years ago
12

Which of the following statements is true about the triangles below?

Mathematics
1 answer:
anyanavicka [17]4 years ago
5 0
Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB

Angle ABD = Angle ABC
Angle BAC = Angle BAD

The pair of angles that are equal lie on the side AB

Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)

Answer: Second option
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If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

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 = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

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3 years ago
How many bottles of chocolate can you buy with $20 if one cost $4?<br> One step equation
Ulleksa [173]
You can buy 5 bottles because $4 times 5 equals $20. I hope this helps :)
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which equation in point-slope form contains the point (-3, 5) and has slope -1 ANSWERS y + 3 = -1(x-5) y-3= -1(x+5) y+5=-1(-3) y
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Answer:

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Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have m = -1 and the point (-3, 5). Substitute:

y-5=-1(x-(-3))\\\\y-5=-(x+3)

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Answer:

148

Step-by-step explanation:

=1332÷9

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