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°
Use the 2 dots on the line located at (0,1) and (-3,0).
The slope is the change in Y over the change in X:
Change in Y = 0-1 = -1
Change in X = -3 - 0 = -3
Slope = -1 / -3 = 1/3
They intercept in this case is Y1 which = 1.
The equation is y = 1/3x + 1
Answer:
Step-by-step explanation:
Factor
2
out of
2
x
2
.
2
(
x
2
)
+
6
x
−
4
Factor
2
out of
6
x
.
2
(
x
2
)
+
2
(
3
x
)
−
4
Factor
2
out of
−
4
.
2
x
2
+
2
(
3
x
)
+
2
⋅
−
2
Factor
2
out of
2
x
2
+
2
(
3
x
)
.
2(
x
2
+
3
x
)
+
2
⋅
−
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Factor
2
out of
2
(
x
2
+
3
x
)
+
2
⋅
−
2
.
2
(
x
2
+
3
x
−
2
)
Answer:
x = 110°, y = 110°
Step-by-step explanation:
y = 110° ( vertical to 110° )
x = 110° ( alternate angle to y )
