∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Answer:
Daisy
Step-by-step explanation:
Daisy:
12/4=3
3*5=15 white beads
Mindy:
12/6=2
2*7=14 white beads
Answer:
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Step-by-step explanation:
we know that
If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor
An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.
In this problem ΔABC and ΔA′B′C′ are similar
therefore
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Let's solve this problem. We know the equation of <span>the height of the ball that is:
</span>
<span>
Where x represents </span><span>the horizontal distance in yards the ball has traveled in the air. We know that a distance is always positive, so we conclude that x must be greater or equal than 0, so:
</span>
<span>
The horizontal plane represents the zero of the function, given that there is no possibility for the ball to get negative values, then
is also positive. Finally, from the graph, the appropriate domain is:
</span>
<span>
</span><span>
</span>
Answer:
A) According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.
Step-by-step explanation:
Given the regression equation:
PACKS i= 57221.431732 − 1423.696906TAXi + 155.441784BARSi + eᵢ.
BARS i= 1 if city i allows smoking in bars
BARSi = 0 if city i does not allow smoking in bars
R2 = 0.351292
P-value = 0.086529
Conlusion:
Simnce p value, 0.0865 is greater than level of significance, 0.05, BARS is not significant. Thus, allowing smoking in bars increase cigarette sales, since the coefficient of BARS is positive.
Correct answer is option A.
According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.
