Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Answer:
The equation for nth term is 3n + 5.
Step-by-step explanation:
Let a1 be a,
a3 = a + (n - 1)d
or, 14 = a + (3 - 1)d
so, 14 = a + 2d
Now,
a5 = a + (n - 1)d
or, 20 = a + (5 - 1)d
or, 20 = a + 4d
now,
a + 4d = 20
a + 2d = 14
now,
a + 4d - ( a + 2d) = 20 - 14
or, a + 4d - a - 2d = 6
or, 2d = 6
so, d = 3
Now,
a + 2d = 14
or, a + 2(3) = 14
or, a = 14 - 6
so, a = 8
Now,
an = a + (n - 1)d
or, an = 8 + (n - 1)3
or, an = 8 + 3n - 3
so, an = 3n + 5
Answer:
C
Step-by-step explanation:
We know that the value of 1 is 4,
So, there are 2 difference,
1 is 4
2 is 6
3 is 8
4 is 10
5 is 12
So, the first five terms is 4, 6 ,8 ,10, 12.
Answer:
arc = 25.29
Step-by-step explanation:
first find the circumference:
C = 2r(Pi) = 2(10)(3.14) = 62.8
since subtended, then we're looking for these opposite angle of 215 degrees:
360 - 215 = 145 degrees
62.8/360 = 0.1744 per degree
0.1744 x 145 = 25.29
Assuming the sum of the opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows
B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees
Therefore angle B would have a measurement of 132 degrees. Hope this helps.
