Answer:
x + 1
Step-by-step explanation:
There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.
To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.
15 + 16 = 31
These numbers are too low, as they should add to 37. Let's try 18 and 19.
18 + 19 = 37
There are the two correct numbers. If x = the smaller number, x = 18.
18 + 1 = 19
Since this is correct, we know for sure that the answer is x + 1.
Answer:
Part 1) 
Part 2)
Part 3) 
Part 4) 
Step-by-step explanation:
Part 1) Find the measure of arc AB
we know that
----> by central angle
we have

therefore

Part 2) Find the measure of arc ABC
we know that
The central angle of complete circle is equal to 360 degrees
so
Part 3) Find the measure of arc BAC
we know that
----> by angle addition postulate
we have
---> by central angle
---> by central angle
so

Part 4) Find the measure of arc ACB
we know that
The central angle of complete circle is equal to 360 degrees
so

substitute

the scale factor will be greater than 5 if the dilation enlargement
C.5
Answer:
3.8
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1, y1
2.1, 3.8
7.6 - 3.8
3.1 - 2.1 = 3.8
x2,y2
3.1, 7.6
Answer:
4√7
Step-by-step explanation:
5√7 + √7 - 2√7
Taking out common term, √7.
= √7 ( 5 + 1 - 2)
Simplify the terms in the bracket.
= √7 (4)
= 4 √7