Jejebbebdnsbdhwbejjeejejejrjfjfjfjfjfjfjfjfjfjfjfjfjjffjufcucuucjfufjfudjuejeuejeuejeuejejj
Answer:
61 degrees.
Step-by-step explanation:
As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.
Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.
Hope this helps!
Answer:
<em>y = x ÷ 2</em>
Step-by-step explanation:
We are given a table of values, which will be represented as ordered pairs (x,y) below:
(2,1) (4,2) (8,4) (10,5) (16,8)
We are required to select one of the functions that match the numeric relationship between x and y.
We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:
2/2=1
4/2=2
And so on. Thus the only function that divides the value of x by 2 to find the value of y is:
y = x ÷ 2
Answer:
Both A and B are true identities
Step-by-step explanation:
A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n
We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)
So,
n ( n − 2 ) ( n + 2 ) = n(n² - 2²) (difference of two squares)
= n³ - 2²n (expanding the brackets)
= n³ - 4n (simplifying)
So, L.H.S = R.H.S
B. ( x + 1 )² − 2x + y² = x² + y² + 1
We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)
So,
( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y² (expanding the brackets)
= x² + 2x - 2x + 1 + y² (collecting like terms)
= x² + 1 + y²
= x² + y² + 1 (re-arranging)
So, L.H.S = R.H.S
So, both A and B are true identities since we have been able to show that L.H.S = R.H.S in both situations.
