Step-by-step explanation:
area of rectangle=length×breadth=(2x+3)(3x+7)
=6x²+9x+14x+21=6x²+23x+21
Answer:
Option A True
Step-by-step explanation:
we know that
The sum of the internal angles of the triangle is equal to 
<u>In the triangle JKL</u>
m∠L=
so
The measurements of the angles of triangle JKL are 
<u>In the triangle WXY</u>
m∠W=
so
The measurements of the angles of triangle WXY are
therefore
Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)
Answer:
<u>The number of associates = 6 and the number of partners = 4</u>
Step-by-step explanation:
let the number of associates = x
let the number of partners = y
The law firm assigned a total of 10 lawyers
∴ x + y = 10
∴ y = 10 - x ⇒ (1)
$8000 per day charged for these lawyers, The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
∴ 600x + 1100 y = 8000 ⇒ (2)
By substitute from (1) at (2)
600 x + 1100 (10 - x) = 8000
solve for x
600 x + 11000 - 1100 x = 8000
-500 x = -3000
x = -3000/-500 = 6
At (1) to find y
y = 10 - 6 = 4
<u>So, the number of associates = 6 and the number of partners = 4</u>
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent (Angle-Side-Angle or ASA).
