Slope (m) = change in Y over change in X
change in Y = 9-5 = 4
change in x = 8-4 = 4
slope = 4/4 = 1
m = 1
the y intercept (b) would be found by using the formula y = mx+b
find b by replacing y, m and x in the equation with one of the points and the calculated slope:
(4,5) x = 4, y = 5 and slope m = 1
5 = 1*4 +b
5 = 4+b
b = 5-4
b=1
so the equation of the line would be y = x +1
the answer is A
x = first integer
x+1 = integer right after x
For example, if x = 10, then the next one after that is x+1 = 10+1 = 11. So 10 and 11 are consecutive integers (one follows right after the other)
The sum of those two integers x and x+1 add to x+x+1 = 2x+1
This sum is no more than 209, therefore,
![2x+1 \le 209](https://tex.z-dn.net/?f=2x%2B1%20%5Cle%20209)
![2x+1-1 \le 209-1](https://tex.z-dn.net/?f=2x%2B1-1%20%5Cle%20209-1)
![2x \le 208](https://tex.z-dn.net/?f=2x%20%5Cle%20208)
![\frac{2x}{2} \le \frac{208}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%5Cle%20%5Cfrac%7B208%7D%7B2%7D)
![x \le 104](https://tex.z-dn.net/?f=x%20%5Cle%20104)
Therefore the largest x can be is 104
If x = 104, then x+1 = 104+1 = 105
<h3>Final Answer: 105</h3>
Note how 104+105 = 209, which helps confirm the answer
Answer:
The angle Matt drew = 180°
Step-by-step explanation:
The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.
Let the equal angles drawn = x
x + x + x + x + x + x + x + x = 360°
8 × x = 360°
8x = 360
x = 45°
∴ each angle drawn = 45°
Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.
Finding the measure of this angle:
1 section in the circle = 45 (<em>shown above</em>)
∴ 4 sections = 45 × 4 = 180°
∴ The angle Matt drew = 180°
Start off with: -4 + (-3) + 6
First of all, when there is a, + sign and a - sign next to each other, the - side wins. E.g. 1 +- 3 = 1 - 3
So, apply this to our one:
-4 -3 +6
From there you solve, you can do this using the number line method or whatever you are into:
=-7 + 6
=-1
The answer is -1
Answer:
<em>Neither SSS nor SAS apply.</em>
Step-by-step explanation:
SSS (Side-Side-Side)-
If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
SAS (Side-Angle-Side)-
If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.
It given in the picture that,
- AC = AD (Side)
- BC = DE (Side)
- m∠BAC = m∠EAD (Angle)
So, ΔABC and ΔAED will not be congruent by either SSS or SAS.