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iren [92.7K]
3 years ago
7

Can anyone help explain this to me lol-

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles.   ^‿^

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In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH
solniwko [45]

Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH   (*)

Consider triangles CBH and BCK. In these triangles,

  • ∠CBH ≅ ∠BCK (from equality (*));
  • ∠HCB ≅ ∠KBC, because m∠B = m∠C;
  • BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0
3 years ago
A certificate of deposit with $600 principal earns 2. 5% interest for 6 years. How much is the interest earned for 6 years?
mario62 [17]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &6 \end{cases} \\\\\\ I = (600)(0.025)(6)\implies I=90

5 0
2 years ago
What two numbers multiply to 6 and add to 7
netineya [11]

Answer:

1 and 6

Step-by-step explanation:

1 + 6 = 7

1 x 6 = 6

5 0
3 years ago
Read 2 more answers
Solve for X.........
Morgarella [4.7K]

Answer:

Hey there!

There is this equation, which states that the angle created by an inscribed angle is half the measure of the arc.

Thus, we can write: 60=5x-5

65=5x

x=13

Let me know if this helps :)

5 0
4 years ago
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Find the roots of parabola given by the following equation
riadik2000 [5.3K]

Answer:

3/2

-3

Step-by-step explanation:

here

5 0
3 years ago
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