Answer:
LM = 14
Step-by-step explanation:
LM = AC/2
LM = 28/2
<u>LM = 14</u>
Hope this helps!
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°
nswer:
B
C
=
24
Explanation:
The triangle is isosceles, because (from the diagram) ∠
A
B
C
=
∠
A
C
B - note how the angle there is marked on both of these. If these angles are equal, this means that the sides
A
C
=
A
B
let A
C
=
A
B
x
+8=2x-1
8
=
x
−
1
x
=
9
We want to find the length of
B
C
, which is (
3
x
−
3
)
. We know that x
=
9
B
C
=3
x
−
3
B
C
=
3
(
9
)
−3
B
C
=
27
−
3
B
C
=
24
Answer:
<em>y = (x - 4)² - 4 </em>
Step-by-step explanation:
y = x² - 8x + 12
y = ( x² - 2(4)x + 4² ) - 4² + 12
<em>y = (x - 4)² - 4</em>
Answer:
x = 7
Step-by-step explanation:
7x - 12 = 9x - 26
7x - 12 = 9x - 26
+12 +12
7x = 9x - 14
7x = 9x - 14
-9x -9x
-2x = -14
-2x = -14
___. ___
-2 -2
x = 7
