Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so
Answer:
D
Step-by-step explanation:
Here, we want to get the value of x;
To get this, we simply use one of the circle angle and arc properties
Mathematically;
arc MN = 2 * arc MLN
3x + 22 = 134/2
That will be;
3x + 22 = 67
3x = 67-22
3x = 45
x = 45/3
x = 15
Answer:
8 Hours
Step-by-step explanation:
32÷4=8
It takes 4 machines to do something in 32 hours. If you had 4 times more machines it would be 4 times faster.
I hope this helps!
Answer:12
Step-by-step explanation:
Answer:
m<ACD = 
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD =
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is .
