Answer:
The measure of the fourth angle = 137.1°
Step-by-step explanation:
Let x = the measure of the fourth angle
Sum of all 4 interior angles in a quadrilateral equal 360°
so
x + 23.5° + 99° + 100.4° = 360°
x + 222.9° = 360°
x = 360° - 222.9°
x = 137.1°
1) Vertical angles-the angles will equal each other.
8+7x=9x-4
12+7x=9x
12=2x
x=6
2) Supplementary-Angles will add up to 180
6+13x+7x+14=180
20+20x=180
20x=160
x=8
Answer:
the correct answer is b and c
Step-by-step explanation:
Answer:
The answer is 19.25
Step-by-step explanation:
<u>Key skills needed: Fraction operations, decimal conversion</u>
1) We are given the hint to use 9 as "b", and we get:
--->
Let's do ![\frac{16}{8}(9)](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B8%7D%289%29)
-->
is the same as
÷ ![8](https://tex.z-dn.net/?f=8)
16 divide by 8 is 2.
2) This means that it would be --->
which is simply 2 times 9.
2 times 9 = 9 + 9 = 18
3) With that result, it would be ---> ![a = 18 + \frac{10}{8}](https://tex.z-dn.net/?f=a%20%3D%2018%20%2B%20%5Cfrac%7B10%7D%7B8%7D)
Now, do
(10 divided by 8) ---> Get 1.25
4) 18 + 1.25 = 19.25, so -->
is the answer
<em>Hope you understood and have a nice day!! :D</em>
Answer:
c = 0.03p + 150
Step-by-step explanation:
Let the equation of the line representing the relation between cash back and value of purchases be,
c = mp + b
Where m = slope of the line = rate of change in cash back earned
b = y-intercept = cash back already earned
Slope of the line =
= slope of the line passing through points (0, 150) and (2000, 210)
= ![\frac{210-150}{2000-0}](https://tex.z-dn.net/?f=%5Cfrac%7B210-150%7D%7B2000-0%7D)
= ![\frac{60}{2000}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B2000%7D)
= 0.03
And 'b' = y-intercept = 150
Therefore, equation represented by the graph will be,
c = 0.03p + 150