Answer:
m∠BCD = 140°
Step-by-step explanation:
ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:
m∠A + m∠C =180° and m∠B + m∠D = 180°
So, m∠A + m∠C =180°
m∠A = 40° (given in the question)
40° + m∠C = 180°
m∠C = 180° - 40° = 140°
∴m∠C = m∠BCD = 140°
Answer:B
Step-by-step explanation:
Answer:
Okapi 290 kg
Llama 160 kg
Step-by-step explanation:
Let weight of each llama be 
Let weight of each okapi be 
<em>Given, combined weight of 1 okapi and 1 llama is 450, we can write:</em>
<em>
</em>
<em>Also, average weight of 3 llama is 190 more than the average weight of 1 okapi, thus we can write:</em>
<em>
</em>
Now, substituting 2nd equation into 1st equation, we can solve for weight of 1 llama:

Each llama weights 160 kg, now using this and plugging into 2nd equation, we get weight of 1 okapi to be:

Each okapi weigh 290 kg
Answer:
y = 5f(x)
Please see the picture below
Step-by-step explanation:
Given the function f(x) = |x|, to transform the function y=f(x) with a vertical scaling with scale factor of 5, you should multiply the function by 5 to obtain the result;
y = 5f(x)
Please see the picture below to see a graphic solution.