Answer:
Step-by-step explanation:
<u>Δ MHP is right triangle, therefore</u>
<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>
- m∠NMP = 180° - 2*55° = 70°
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Prime Factorization = Divide by factors that are prime number
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
147 = 3 x 7 x 7
147 = 3 x 7²
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Answer: 147 = 3 x 7²
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Answer:
1) 18
2) Tuesday, Thursday, Saturday
3) Weeks 2 and 4
Step-by-step explanation:
75%
selected=8
=8-5=3
=75/100×3
=3/4×3
=9/4
=2 1/4
