Answer:
How much is the discount?
=$70
What is the final sale price?=$210
Step-by-step explanation:
$280 =100%
$x =25%
$280 x 25%=7000/100=<u>70</u>
<u>280-70=210</u>
Answer:
you just move W down by 8 and to the left by 8 so it should end up at the coordinates (-5, -4)
Let's take this variable by variable. z to the power of 4 over z to the power of one would equal z to the power of 3. At this point, there is no longer a z variable in the denominator.
X to the power of 2 over x to the power of 1 would equal x. At this point there is also no x variable in the denominator.
Y to the power of 1 over y to the power of 2 would equal (1/y). At this point, there is no y in the NUMERATOR.
Final Answer:
Answer:
ΔLNO ≅ ΔLMN iff ∠LNO = ∠LNM
Step-by-step explanation:
Lets get started using the statement that...
<em> In ΔLON and ΔLMN</em>
<u><em> Side ON ≅ Side MN </em></u>
<u><em> Side LN ≅ Side NM </em></u>
<u><em> ∠LON ≅ ∠LMN</em></u>
To Prove: ∠LON ≅ ∠LMN by ASA congruence theorem.
Solution: In order to prove ASA congruence between the triangles we need two angles to be congruent to each other. When we look at the figure, we see that <u><em>∠LNO ≅ ∠LNM is a common angle </em></u>in both the triangles.
Hence, using this we will prove that the triangles are congruent by ASA congruence rule.
<u><em>In ΔLON and ΔLMN</em></u>
Side ON ≅ Side MN
∠LNO ≅ ∠LNM ( ∵ common )
∠LON ≅ ∠LMN (∵ Given )
<u>⇒ ΔLON ≅ ΔLMN ( By ASA congruence theorem).</u>
Answer:
The dimension of the rectangle is 19mm by 73mm
Step-by-step explanation:
In this question, we are tasked with calculating the dimensions of the rectangle given the information in the question.
Let the width of the rectangle be x, we are told that length is 3mm less than four times width
Mathematically this means l = 4x - 3
Now we are given the area, what this means is that when we multiply the width and the length, we get the area value
Thus, mathematically
x(4x - 3) = 1,387
4x^2 - 3x = 1387
4x^2 - 3x - 1387 = 0
Solving the quadratic equation, we have;
x = 19 or -73/4
since length cannot be negative, we ignore -73/4
Now the length = 4x - 3 = 4(19) - 3 = 73mm
Thus the dimension of the rectangle is 19mm by 73mm
