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ArbitrLikvidat [17]

2 years ago

4

What number goes in the missing space?

2 answers:

kow [346]2 years ago

4 0

12 because 2 multiply by 6 is equal to 12

Tomtit [17]2 years ago

3 0

12 because in the other ones it looks like ur just multiplying the two top ones to get the total.

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In triangle abc, the sides are ac=bc=8 inches and ab=4. find the angles

Virty [35]

Answer:

$m\angle A=m\angle B=75.5^{\circ},\\ \\m\angle C=29^{\circ}$

Step-by-step explanation:

In triangle ABC the sides AC=BC=8 in and AB=4 in.

Use the cosine rule:

$AB^2=AC^2+BC^2-2\cdot AC\cdot BC\cdot \cos \angle C,\\ \\4^2=8^2+8^2-2\cdot 8\cdot 8\cdot \cos \angle C,\\ \\16=64+64-128\cos \angle C,\\ \\16-64-64=-128\cos \angle C,\\ \\\cos \angle C=\dfrac{112}{128}=\dfrac{7}{8},\\ \\m\angle C\approx 29^{\circ}.$

Since triangle ABC is isosceles, angles A and B have the same measures. Then

$m\angle A=m\angle B=\dfrac{180^{\circ}-29^{\circ}}{2}=75.5^{\circ}.$

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