The sum<span> of the measures of the interior angles of any </span>quadrilateral<span> can be found by breaking the </span>quadrilateral<span> into two triangles. Since the measure of the interior angles of any triangle equals 180 degrees, each of the two triangles will contribute 180 degrees to the total for the </span>quadrilateral<span>.</span>
On the way to school, if the ratio of walkers to bus riders is 2:7, then the number of bus riders is 3.5 times the number of walkers.
Explanation:-
7 is 3.5 times larger than 2.
2*3.5 = 7
Answer: 3.5
Answer:
<h3>x = 21/10y</h3>
Step-by-step explanation:
If the variables x and y vary inversely, this is expressed as;
x ∝ 1/y
x = k/y
k is the constant of proportionality
Given;
x = 7/2 and y = 3/5
Substitute;
7/2 =k/(3/5)
Cross multiply
k = 7/2 * 3/5
k = 21/10
Substitute the value of k into the formula;
x = k/y
x = (21/10)/y
x = 21/10 * 1/y
x = 21/10y
Hence the equation relating x and y is x = 21/10y
Answer:
a) “There is no integer n such that for all integers m, m<n”
b) The proposition is false and its negation true.
Step-by-step explanation:
a)
The negation of the proposition is
<em>“There is no integer n such that for all integers m, m<n”
</em>
b)
It is easy to prove that the proposition is false.
If there existed such an integer n , then since n+1 is an integer, n+1 < n, which is a <em>contradiction. </em>
So such an integer n cannot exist.
Since the proposition is false, its negation is true.