Answer:
<u>x = 8</u>
Step-by-step explanation:
See the attached figure.
As shown:
ABCD is a kite,
BC = 2x - 5
DC = x + 3
one of the properties of the kite is BC = DC
So, 2x - 5 = x + 3
Solve for x, Combine like terms
∴ 2x - x = 3 + 5
∴ x = 8
<u>So, the value of x is 8.</u>
Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
The angles are 56°, 90° and 34°.