Answer:
22.5° and 67.5°
Step-by-step explanation:
The sum of complementary angles equal 90°.
Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.
Thus, the following expression can be written to represent this case:
Solve for x
Divide both sides by 4
The measure of the complementary angles are:
x = 22.5°
3x = 3(22.5) = 67.5°
18/10
9/5
Anything along those lines!
Answer:
b. False
Step-by-step explanation:
P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52
P(X) × P(Y) = 0.65×0.77 = 0.5004
Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent
Answer:
- 4(14.75)
- 4(8) + 4(4.50) + 4(2.25)
Step-by-step explanation:
<em>Note: there is no table so the answer will be based on assumption</em>
<u>Analyzing the answer options:</u>
<u>4(14.75)
</u>
- This may be correct as contains 4 as multiplier
<u>48.00) + 4.50 +2.25
</u>
- Incorrect as no multiplier of 4
<u>4(8) + 4(4.50) + 4(2.25)
</u>
- This may be correct as contains 4 as multiplier and the sum is same as the first option
<u>48.00 +4.50 +2.25)</u>
- Incorrect as no multiplier of 4
bearing in mind that an x-intercept is when the graph touches the x-axis and when that happens y = 0, and a y-intercept is when the graph touches the y-axis and when that happens x = 0.
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{1}{5}}[x-\stackrel{x_1}{(-5)}] \\\\\\ y=-\cfrac{1}{5}(x+5)\implies y = -\cfrac{1}{5}x-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B0%7D%3D%5Cstackrel%7Bm%7D%7B-%5Ccfrac%7B1%7D%7B5%7D%7D%5Bx-%5Cstackrel%7Bx_1%7D%7B%28-5%29%7D%5D%20%5C%5C%5C%5C%5C%5C%20y%3D-%5Ccfrac%7B1%7D%7B5%7D%28x%2B5%29%5Cimplies%20y%20%3D%20-%5Ccfrac%7B1%7D%7B5%7Dx-1)
