The segment GH and GI are tangent
1 answer:
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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.
Answer:
a) From the chart crated with Microsoft Excel, we have that the correlation coefficient, r = √0.8581 ≈ 0.93 to the nearest hundredth
The steps used includes
1) Inputting the given data into the cells on a Microsoft Excel spread sheet
2) Highlighting and sorting the data in the cells in order of increasing Rainfall
3) Generating a dot plot using the sorted data from above
4) Adding the trend line, Square of the linear regression, and the trend line equation
5) Adding the axis labels
(b) The correlation coefficient states that there is a strong positive correlation between the monthly rainfall and and Umbrella sales
Step-by-step explanation:
