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skad [1K]
3 years ago
5

The value of a car decreases as shown in the table

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer: A,C,D

Step-by-step explanation:

I just took it

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In △ABC acute angles are in the ratio 5:1, i.e. ∠BAC:∠ABC = 5:1. If CH is an altitude and CL is an angle bisector, find m∠HCL.
tekilochka [14]

If m\angle BAC:m\angle ABC=5:1, then m\angla BAC=(5x)^{\circ},\ m\angle ABC=x^{\circ}.

The sum of the measures of the interior angles of the triangle is always 180°, then

m\angle ACB=180^{\circ}-x^{\circ}-(5x)^{\circ}=180^{\circ}-(6x)^{\circ}.

Since CL is bisector, then

m\angle BCL=m\angle ACL=\dfrac{180^{\circ}-(6x)^{\circ}}{2}=90^{\circ}-(3x)^{\circ}.

Consider right triangle ACH. In this triangle

m\angle ACH=180^{\circ}-90^{\circ}-(5x)^{\circ}=90^{\circ}-(5x)^{\circ}.

Now angle HCL has measure

m\angle HCL=m\angle ACL-m\angle ACH=90^{\circ}-(3x)^{\circ}-(90^{\circ}-(5x)^{\circ})=(2x)^{\circ}=2m\angle ABC.

Answer: m\angle HCL=2m\angle ABC.

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4 years ago
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
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