Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
-5x-10=10 x= -4
Work:
-5x-10=10
+10 +10
______________
-5x=20
_______
-5 -5
x=-4
C; You know this because it asks for a dependent event. This means that a first event must occur that automatically changes the results for the following events. When you see dependent, look for without replacement.
Sarah is selling bracelets. The inequalities are a > 10 and 2a + 3b ≥ 60.
<u>Solution:</u>
Given, Sarah is selling bracelets and earrings to make money for summer vacation.
bracelets cost = $2
earrings cost = $3
She needs to make at least $60.
Sarah knows she will sell more than 10 bracelets.
We have to write inequalities
Now, according to given information,
Total money ≥ $ 60
Money earned from bracelets + money earned by earrings ≥ 60
2 x number of bracelets + 3 x number of earrings ≥ 60
2a + 3b ≥ 60
[ where a is number of bracelets and b is number of earrings]
And, number of bracelets is more than 10 ⇒ a > 10
Hence, the inequalities are a > 10 and 2a + 3b ≥ 60