Subtract 55 from both sides.. divide both sides by 20 and get ... 4.75
Can you elaborate? because i don’t understand what topic
Answer:
BC AC AB Longest to shortest.
Step-by-step explanation:
Solve for y
From the last question, 146 is the exterior angle.
That means that
5y + 3 + 4y+8 = 146
9y + 11 = 146 Subtract 11 from both sides
9y = 146 - 11 Combine the right
9y = 135 Divide by 9
y = 135/9
y = 15
Solve for x
x and 146 are supplementary.
x + 146 = 180 Subtract 146 from both sides
x = 180 - 146
x = 34
Solve For <A and <B
A
A = 5y + 3
A = 5*15 + 3
A = 75 + 3
A = 78
B
B = 4y + 8
B = 4*15 + 8
B = 68
========
The three angles are
A: 78
B: 68
X: 34
========
The side Opposite A is the longest because A is the biggest angle: BC
The side Opposite B is the second longest line: AC
The shortest line is AB
Conclusion
BC, AC, AB
Answer:
ŷ = 0.1286X - 123.2175 ;
r = 0.947
r² = 0.896
Step-by-step explanation:
Given the data:
Traffic Flow, X : ____Vehicke speed ;Y()
1257 ______________36
1329 ______________45
1227 ______________30
1336 ______________50
1349 ______________55
1124 ______________ 25
The estimated regression equation using a linear regression calculator based on the data given above is given thus:
ŷ = 0.1286X - 123.2175
Where ;
y = dependent variable (vehicle speed)
x = predictor variable (traffic flow)
Slope = 0.1286
Intercept = 123.2175
The correlation Coefficient, R, obtained using the correlation Coefficient calculator is 0.9465, This depicts a very strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² which is the squared value of the correlation Coefficient = 0.9465² = 0.8958 gives the proportion of explained variance ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.