Answer:
Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45
Step-by-step explanation:
Given ΔABC is an isosceles triangle, thus, AB=BC=x and AC=12,
perimeter of △ABC is=42
⇒x+x+12=42
⇒2x=30
⇒x=15
Thus, AB=BC=15
Now, △BDC is an equilateral triangle therefore BD=DC=BC=x
Since, x=15, therefore BD=DC=BC=15
Now, Perimeter of △BDC=Sum of all the sides=BD+DC+CB=15+15+15=45
Answer:
Step-by-step explanation:
Let, the number of cans collected by Shane = x.
So, the number of cans collected by Abha = x + 178.
Since, at least 2000 cans are required to be collected.
Thus, we have the inequality,
Number of cans by Shane + Number of cans by Abha ≥ 2000.
i.e. 
i.e.
Thus, the required inequality is .
Answer:
B. y - 35 = 2(x - 10)
Step-by-step explanation:
The height of the plant, y, after x days could be modeled by the equation
<h3>y-y0=k(x-xo) (1)
,</h3><h3>
where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>
From equation (1), k could be evaluated as follows:</h3><h3>
k=(y-y0)/(x-x0) </h3><h3>
From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>
Thus,</h3><h3>
k=(55-35)/(20-10)=2</h3><h3>
Therefore, the model equation becomes</h3><h3>
y-35=2(x-10)</h3><h3>
</h3>
First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.
2x+7=3x-7
x=14
Then, since 2x+7 and 12y+1 equals 180, put it together to find y:
(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12
So, x=14 and y=12. Your answer should be C!
