Answer:what are the answer choices
Step-by-step explanation:
Answer:
Mr. Li
Step-by-step explanation:
$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission
$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission
Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
Explanation: Just add like terms, picture is attactched
Answer: (a) isosceles (b) right
<u>Step-by-step explanation:</u>
(a) All sides of a rhombus are congruent → PN = AN
Therefore, ΔPNA has two congruent sides so is ISCOSCELES
(b) The diagonals of a rhombus are perpendicular (equal to 90°)
Therefore, ∠PEL = 90° so ΔPEL is a RIGHT triangle
