Answer:
The value of x is 1
Step-by-step explanation:
Let us solve the question
∵ Δ PQR ≈ Δ FGH
→ From similarity, then their corresponding sides have an equal ratio
∴ = =
∵ PQ = 3, QR = x + 3, PR = 2
∵ FG = 6, GH = 6x + 2, FH = 4
→ Substitute them in the ratios above
∴ = =
→ By using cross multiplication between the first two ratios
∵ 3 × (6x + 2) = 6 × (x + 3)
∴ 3(6x + 2) = 6(x + 3)
∴ 3(6x) + 3(2) = 6(x) + 6(3)
∴ 18x + 6 = 6x + 18
→ Subtract 6x from both sides
∵ 18x - 6x + 6 = 6x - 6x + 18
∴ 12x + 6 = 18
→ Subtract 6 from both sides
∵ 12x + 6 - 6 = 18 - 6
∴ 12x = 12
→ Divide both sides by 12
∴ x = 1
Answer:
Tip: Ask your teacher, sibling, or guardian for somes tips and help.
Answer:
<h2>3x + y = b</h2>
<em>b - </em><em>any real number</em>
Step-by-step explanation:
Parallel lines have the same slope.
We have the equation of a line in the standard form <em>Ax + By = C</em>.
Convert to the slope-intercept form <em>y = mx + b</em>
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
<em>subtract 9x from both sides</em>
<em>divide both sides by 3</em>
Therefore we have the slope <em>m = -3</em>.
Put it to the equation of a line:
<em>add 3 to both sides</em>
Answer:
C)
Step-by-step explanation:
options B and D are eliminated because their graphs do not intersect the y-axis at -1
If you input (0,0) - a random ordered pair picked from the shaded area - into the inequality for 'A' you can see if that is true or not
0 ≤ 0 - 1
0 ≤ -1 FALSE
If you input (-5,0) - a random ordered pair picked from the shaded area - into the inequality for 'C' you can see if that is true or not
0 ≤ -6/5 (-5) - 1
0 ≤ 6 - 1
0 ≤ 5 TRUE