Answer:
X=20
Y=70
Step-by-step explanation:
All angles within a triangle add up to 180
180 - 40 = 140
140 is the top angle of the big triangle
140 + x + x = 180
x = 20
Now use x to find y by subtracting from the right angle (90 degrees)
90 - 20 = 70
70 + 40 + y = 180
Y = 70
Answer:
see below
Step-by-step explanation:
A multiplier on the function value moves its y-coordinate farther from the x-axis by that multiplier value. It is the stretch factor. Stretch factors less than 1 cause the graph to be compressed vertically.
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A multiplier on the independent variable means it doesn't need to be as large to give the same function value. That is, multiplication of x by a factor of k compresses the graph horizontally by that factor of k. Equivalently, it does a horizontal stretch by a factor of 1/k.
Answer:
Step-by-step explanation:
Join OB.
∠A=∠A (common)

∴ ΔAPO and ΔAOB are similar.

∠P=∠O
∠Q=∠B
So PQ║OB
Similarly RS║OB
∴PQ║RS
Answer:
The probability is 7/36
Step-by-step explanation:
In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.
Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36
Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.
Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.
The probability is thus the number of these additions divided by the total number of outputs= 7/36
Answer:
Yes, the park should be expanded
Explanation:
180 adults said yes.
250 - 180 = 70
70 people thought the park shouldn't be expanded, but there are more people who want the mark to expand.