Answer:
x = 21, m∠A = 23°, the measure of angle in the right = 67°
Step-by-step explanation:
The angles of a triangle sum up to 180°.
Right angles equals to 90°.
Thus, (2x - 19)° + (3x + 4)° + 90° = 180°
=> 5x + 75 = 180
=> 5x = 105
=> x = 21
m∠A=> 2(21) -19 = 23°
the measure of angle in the right=> 3(21) + 4 = 67°
Answer:
21
Step-by-step explanation:
0 + 1 = 1
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Each number is added to an increase of 1 - first add 1, then add 2, then add 3,etc
Not listed but next would be 21 + 7 = 28
so it would be 0, 1, 3, 6, 10, 15, 21, 28
Answer:
Step-by-step explanation:
Answer:
a = 16/3 or 5 1/3 or 5.33...
Step-by-step explanation:
to find a you must first make all of the denominators the same
you must find 4 6 and 2s CGF
and that is 12
so multiply a/4 by 3/3 and get 3a/12
then multiply 5/6 by 2/2 and get 10/12
and lastly multiply 1/2 by 6/6 and get 6/12
at this point you can set the equation up like this
3a/12 - 10/12 = 6/12
but then you can multiply everything by 12
3a - 10 = 6
and then solve
add 10 to both sides
3a = 16
then divide 3 on each side
a = 16/3 or 5 1/3 or 5.33...
In a regular hexagon, each side is contained in a separate equilateral triangle with side of 2-units. That makes six equilateral triangles with side 2-units.
Further, each equilateral triangle of side 2-units contains four (4) equilateral triangles of side 1-unit.
Therefore the total number of equilateral triangles of side 1 units in a hexagon with side two units is 6*4=24.
