Answer:
Part 1)
Part 2)
Part 3) m∠K=61°
Part 4) m∠L=119°
Part 5) m∠M=61°
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
Part 1) Find the side MN
we know that
MN≅KL ----> by opposite sides
we have
therefore
Part 2) Find the side KN
we know that
KN≅LM ----> by opposite sides
we have
therefore
Part 3) Find the measure of angle K
we know that
m∠K+m∠N=180° ----> by consecutive interior angles
we have
m∠N=119°
substitute
m∠K+119°=180°
m∠K=180°-119°
m∠K=61°
Part 4) Find the measure of angle L
we know that
m∠L≅m∠N ----> by opposite angles
we have
m∠N=119°
therefore
m∠L=119°
Part 5) Find the measure of angle M
we know that
m∠M≅m∠K ----> by opposite angles
we have
m∠K=61°
therefore
m∠M=61°
Answer:
Step-by-step explanation:
Given the equation
Step 1;
Expand the bracket at the right hand side of the equation to have:
Taking the reciprocal of both sides:
Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
=
(c) being correct on all six questions
=
Answer:
<u>The answer is :</u>
<u>x₁ = 4</u>
<u>x₂ = -4</u>
Step-by-step explanation:
Let's solve the equation using square roots.
X^2+16=0
x² + 16 = 0
x² = -16 (Adding 16 at both sides of the equation)
√x² = i√16 (Square root to both sides of the equation)
x = +/- 4i (Roots of the solution)
<u>x₁ = 4i</u>
<u>x₂ = -4i</u>
Answer:5(5x-1)
Step-by-step explanation: for a product the equation above
25x-5
Since 5 is divisible by 25
25/5=5
5/5=1
5(5x-1)