So if the ratio is 2:3, then the younger child would represent the 2. so it would be 2:3 is 4:x. Thereby, the answer would be 6, because of proportions. To check, simplify 4:6, and you would get 2:3.
Answer:
m<FLS=108 degrees
m<SLT=72 degrees
m<ALG=18 degrees
Step-by-step explanation:
(3x) + (4x +12) = 180
x = 24
4x + 12 = 108 = m<FLS
180 - 108 = 72 = m<SLT
SLG = 72 + 90 + x
x = 18 = m<ALG
a, b, c - sides of a triangle
Therefore:
a + b > c
a + c > b
b + c > a
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We have a = AB, b = 140mi, c = 100mi.
(1) a + b > c
AB + 140 > 100 <em>subtract 140 from both sides</em>
AB > -40 → AB > 0
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(2) a + c > b
AB + 100 > 140 <em>subtract 100 from both sides</em>
AB > 40
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(3) b + c > a → a < b + c
AB < 140 + 100
AB < 240
<h3>Answer: 40 < AB < 240</h3>
Answer:
B
Step-by-step explanation:
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = 5; P(6; 1) ⇒ a = 6 and b = 1
therefore
(x - 6)² + (y - 1)² = 5²
check:
A) Q(1; 11)
L = (1 - 6)² + (11 - 1)² = (-5)² + 10² = 25 + 100 = 125
R = 25
L ≠ R
B) R(2; 4)
L = (2 - 6)² + (4 - 1)² = (-4)² + 3² = 16 + 9 = 25
R = 25
L = R - CORRECT
C) S(4; -4)
L = (4 - 6)² + (-4 - 1)² = (-2)² + (-5)² = 4 + 25 = 29
R = 25
L ≠ R
D) T(9; -2)
L = (9 - 6)² + (-2 - 1)² = 3² + (-3)² = 9 + 9 = 18
R = 25
L ≠ R
Answer: B) R(2; 4).
Answer:
(b) x + 10 = x^2 + 2x + 1
Step-by-step explanation:
The equation can be transformed to one without the radical by isolating the radical and squaring both sides.
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<em>Additional comment</em>
In typeset formulas, radicals, fraction bars, and superscript formatting serve to group expressions. In plain text, the only available grouping symbol is parentheses.
√(x+1)
