To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
Answer:
8900
Step-by-step explanation:
25x89=2225
2225/(1/4)= 8900
Hello!
Since ΔEFG is congruent to ΔJKL, their corresponding angles are congruent (CPCTC). The congruence statement tells you which angles of the triangle correspond; ∠E corresponds to ∠J, ∠F corresponds to ∠K, and ∠G corresponds to ∠L. The measures of all the angles of ΔJKL are given, so you just have to name the angle of ΔJKL that corresponds to ∠E of ΔEFG.
Looking at the congruence statement, ∠J corresponds to ∠E, and the m∠J is 90°. Thus the answer is 90°.
Answer:
m∠E = 90°
Answer:
3 and 12
Step-by-step explanation:
let the 2 numbers be x and y then
x + y = 15 → (1)
xy = 36 → (2)
From (1) : y = 15 - x → (3)
substitute y = 15 - x into (2)
x(15 - x) = 36
15x - x² = 36 ( subtract 36 from both sides )
15x - x² - 36 = 0 ( multiply through by - 1 and arrange in standard form )
x² - 15x + 36 = 0 ← in standard form
(x - 3)(x - 12) = 0 ← in factored form
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 12 = 0 ⇒ x = 12
substitute these values into (3) for corresponding value of y
x = 3 → y = 15 - 3 = 12
x = 12 → y = 15 - 12 = 3
Hence the 2 numbers are 3 and 12
