Answer:
Step-by-step explanation:
We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.
We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.
, where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.
Upon substituting our given values in above formula we will get,
Upon dividing both sides of our equation by 3.5 we will get,
Let us subtract 7 from both sides of our equation.
Therefore, the value of x is 11 units.
Answer:
There would be 14 cats and 9 dogs
Step-by-step explanation:
In order to find the amount of cats and dogs, we need to set up the system of equations. To do so, start by setting cats as x and dogs as y. Now we can write the first equation to show the total number of animals.
cats + dogs = 23
x + y = 23
Now we can write a second one that shows the difference in the number of cats and dogs.
cats - dogs = 5
x - y = 5
Now we can add the two equations together to solve for x.
x + y = 23
x - y = 5
2x = 28
x = 14
Now that we have the number of cats, we can find the number of dogs by using either equation.
x + y = 23
14 + y = 23
y = 9
You can find the answer by first dividing 12 by 6 which = 2
so multiply 36 by 2 which =72
72 is your answer ;) hope this helps
As the sum of two complementary angles = a + b = 90
degree -------(1)
Difference of two complementary angles = a – b
According to question;
The difference of two complementary angles exceed the
sume (90) by 86.
So
a – b = 90 – 86 = 4 -------(2)
adding equation (1) and (2);
2a = 90 + 4 = 94
a = 94 / 2 = 47
putting a = 47 in equation (1);
47 + b = 90
b = 90 – 47 = 43
<span>
So angle a = 47 and
angle b = 43</span>
