Answer:
x = 28
Step-by-step explanation:
From the figure attached,
AC ≅ FH [Given]
BC ≅ GH [Given]
AB ≅ FG [Given]
ΔABC ≅ ΔFGH [By SSS property of congruence]
Since, m∠A + m∠B + m∠C = 180°
50° + 69° + m∠C = 180°
119° + m∠C = 180°
m∠C = 180° - 119°
m∠C = 61°
m∠C = m∠H [Since, ΔABC ≅ ΔFGH]
(2x + 5)° = 61°
2x = 61 - 5
2x = 56
x = 28
Answer:
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Answer:
(11,-8)
Step-by-step explanation:
f(x-2) determines a horizontal translation 2 units to the right. Since (9,-8) is the point for f(x) then f(x-2) will be the point (11,-8) where 9 has moved two units to the right 11.
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
<h3>What is the equation of a perpendicular line?</h3>
Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = (3/4)x + 1/3
The slope of the line is 3/4. Then the slope of the perpendicular line will be
Slope = - 1 / (3/4)
Slope = - 4 / 3
Then the equation of the line will be
y = -(4/3)x + D
The line is passing through (3, -2), then the value of D will be
-2 = (-4/3) × 3 + D
-2 = - 4 + D
D = 2
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
More about the equation of a perpendicular line link is given below.
brainly.com/question/14200719
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