Answer:
80° , 100°, 80°
Step-by-step explanation:
∠ 1 and ∠ 2 form a straight line and sum to 180° , then
2x + 40 + 2y + 40 = 180
2x + 2y + 80 = 180 ( subtract 80 from both sides )
2x + 2y = 100 → (1)
∠ 1 and ∠ 3 are vertical angles and are congruent , then
2x + 40 = x + 2y ( subtract x from both sides )
x + 40 = 2y ( subtract 40 from both sides )
x = 2y - 40 → (2)
Substitute x = 2y - 40 into (1)
2(2y - 40) + 2y = 100
4y - 80 + 2y = 100
6y - 80 = 100 ( add 80 to both sides )
6y = 180 ( divide both sides by 6 )
y = 30
Substitute y = 30 into (2)
x = 2(30) - 40 = 60 - 40 = 20
Thus x = 20 and y = 30
Then
∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°
∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°
∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°
Answer:
Excluded Value : 3 and -5
Step-by-step explanation:
hello :
Excluded Value : and
the excluded value when : x²+2x-15=0
(
x²+2x+1)-1-15=0
means : (x+1)²-16=0 (x+1)²-4² = 0
by identity : a²-b² =(a-b)(a+b)
(x+1-4)(x+1+4) =0 so : (x-3)(x+5) =0 means : x-3=0 or x+5=0
x=3 or x= -5
Excluded Value : 3 and -5
Answer:
pls mark brainliest if possible:
slope is 1.5
Step-by-step explanation:
Slope = rise over run = (y2-y1)/(x2-x1)
choose y2 and corresponding x-coordinate is x2. If we choose 27 as y2, then:
x2 = 1
x1 = -9
y1 = 2
then plug everything into the equation
(27-2)/(1-(-9))
=15/10
= 1.5
slope is 1.5
hope this helps!
Answer:
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Distance from Laura's home to her job = 4 1/2 miles
Time when Laura starts to walk to her job : 9:00 a.m.
Time when Laura is scheduled to start working : 11:00 a.m.
2. Will she arrive at her job on time?
Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)
Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job
Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4
Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Answer:
In that one week, his commision was $896, over all 52 weeks, he made $46592
Step-by-step explanation:
Need help calculating that? Let me help you. Grab a calculator!
So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.
Hope this helped, and brainliest would be amazing ❤️ please let me know if you need anymore help. im happy to help.
