Answer:
210
Step-by-step explanation:
find the area of each rectangle and add it to the area of both the triangles
9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2
Answer:
x is 72 degrees
Step-by-step explanation:
To find the measure of x, you need to know the sum of the interior angles of the pentagon.
Sum = (n - 2) x 180
Sum = (5 - 2) x 180
Sum = 3 x 180
Sum = 540
Now divide this by 5, the number of sides
540/5 = 108 degrees for each angle of the pentagon.
To find the measure of x, look at the opposite angle, which is 108 degrees
180 - 108 = 72
The measure of angle x is 72 degrees.
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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
Learn more about the slope here:
brainly.com/question/3605446
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Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
