Step-by-step explanation:
Angle A = 4x + 12 = 4(15) + 12 = 72°.
Acute is for angles that are less than 90°.
Obtuse is for angles that are between 90° and 180°, not inclusive.
Right is for angles that are 90°
Hence the answer is acute.
Answer:
A
Step-by-step explanation:
Area of a triangle:

In our case:
b=4
h=2
Plug in what we know:

Find the matching solution:
A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units
X B.) it is twice the area of a rectangle of length 4 units and width two units
X C.) it is 1/2 the area of a square of side length 4 units
X D.) it is twice the area of a square of side length 4 units
small number = x and large number = 2x + 9
x + 2x + 9 = 2(2x + 9 - x)
3x + 9 = 2x + 18
x= 9
2(9) + 9 = 27
Small number = 9 and large number = 27
Answer:
<em> = n² + 4n ; n = 11 </em>
Step-by-step explanation:
=
[2
+ (n - 1)d]
~~~~~~~~~
= 5
d = 7 - 5 = 2
=
[ 2(5) + 2(n - 1)] =
( 8 + 2n ) = 4n + n²
<em> = n² + 4n</em>
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ <em>n = 11</em>