Answer:
P - Q = - 11b² + 8b - 4
Step-by-step explanation:
P - Q
= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1
= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms
= - 11b² + 8b - 4
Answer:
3/4
Step-by-step explanation:
Fraction of names called last week = 1/4 of a page
Fraction called this week = 1/2 of a page
The number of pages worth of people called ;
This is an addition problem, as the total will be the sum. Of the fractions called this week and last week
Hence,
Total page worth of names called :
(1/4 + 1/2) = (1 + 2) / 4 = 3/4
1/4":1' = 1/4" : 1'= 1:48
So the dimensions of the model are
L=80'/48=960"/48=20"
W=32'/48=384/48=8"
<h2>Solution (1) :</h2>
∠<em>y</em><em> </em>and ∠<em>x</em> are alternate interior angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (2) :</h2>
∠y and ∠x are alternate interior angles . Both of these angles will have an equal angle measure when they lie on two parallel lines with a transversal .
<h2>Solution (3) :</h2>
∠y and ∠x vertically opposite angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (4) :</h2>
∠y and ∠x are adjacent angles as well as a linear pair . These angles will sum up to form 180° .
Check the picture below, you can pretty much count the units off the grid.
recall that the area of a triangle is A = (1/2)bh.