Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
By laying on the short edge the frame of it is 6
The most specific name of the quadrilateral that's is drawn in the picture is a rhombus.
<h3>What is a rhombus?</h3>
It should be noted that a rhombus simony means a quadrilateral that has four sides and the total angles are 360°.
Also, from the information given, it can be depicted that the lengths are congruent and that the opposite sides are parallel.
Learn more about rhombus on:
brainly.com/question/20627264
#SPJ1
B hope it helps have a good day
Answer:
The classes need to raise $164.86 more to reach their goal of $1200.
Step-by-step explanation:
$1,200 total
Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.
1200/2 = 600
Mr. Patel's class has raised $235.14.
235.14 + 600 = 835.14
Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.
600/3 = 200
835.14 + 200 = 1035.14
The three classes have raised a combined total of $1035.14.
1200 - 1035.14 = 164.86
The classes need to raise $164.86 more to reach their goal of $1200.