K = 100/9, or approximately 11.111
Answer:
Yes, they are congruent by SAS postulate.
Step-by-step explanation:
Let us first name the vertices of both the triangles.
The labelled diagram is shown below.
Consider the triangles ABC and ACD
Statements Reasons
1. BC ≅ AC Given
2. ∠ ACB ≅ ∠ CAD Given
3. AC ≅ AC Common sides are congruent due to Reflexive property
As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.
So, we can conclude that the given triangles are congruent.
Step-by-step explanation:
ano taong diyan po pic mo
Question 6: 14x+28
Question 5: 5x+20y
Yes the other ones are right
Answer:
Step-by-step explanation:
Hello!
a)
The dependent variable is
Y: length of a dugong
The explanatory variable is
X: age of a dugong
You need to estimate the linear regression of the length of the dugongs as a function of their age.
Using the given data I've estimated the regression using a statistic software:
The regression model is E(Yi)= α + βXi
The estimated model is ^Yi= a + bXi
Where a is the estimate of the intercept and b is the estimate of the slope:
a= 2.02
b= 0.03
And the estimate of the population variance of the error is Se²= 0.03
The estimated regression equation is ^Yi= 2.02 + 0.03Xi
b)
You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:
^Yi= 2.02 + 0.03*11= 2.35
The average length of an 11-year-old dugong should be 2.35.
I hope it helps!