Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
y-intercept = 9 → (0, 9)
x-intercept = -7 → (-7, 0)
Look at the picture.
Answer:
Step-by-step explanation:
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
Solve
1
Subtract
5
1
6
\frac{5}{16}
165
from both sides of the equation
+
5
1
6
=
−
1
n+\frac{5}{16}=-1
n+165=−1
+
5
1
6
−
5
1
6
=
−
1
−
5
1
6
n+\frac{5}{16}{\color{#c92786}{-\frac{5}{16}}}=-1{\color{#c92786}{-\frac{5}{16}}}
n+165−165=−1−165
2
Simplify
Solution
=
−
2
1
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer:
Third option is the correct answer
Step-by-step explanation:
