First, let's solve the inequality:
<span>x - 3 < -9
//add 3 to both sides:
x<-6
the second inequality:
x + 5 ≥ 10</span>
//substract 5 from both sides:
<span>x ≥ 5
So we need to map:
</span>
<span>x<-6
</span><span>x ≥ 5
Now, shading will be to the leftof -6 and to the right of 5 - this is compatible with answers A and B.
A closed circle means that the number is included, so the correct answer is A!</span>
Set them equal to each other then solve for X
Answer:
- first mechanic: $105/hour
- second mechanic: $55/hour
Step-by-step explanation:
Let r represent the rate charged by the first mechanic. Then 160-r is the rate charged by the second mechanic. The total of charges is ...
20r +5(160-r) = 2375
15r +800 = 2375 . . . . . . eliminate parentheses
15r = 1575 . . . . . . . . . . . . subtract 800
r = 105 . . . . . . . . . . . . . . . divide by 15. First mechanic's rate.
160-r = 55 . . . . . Second mechanic's rate
The first mechanic charged $105 per hour; the second, $55 per hour.
Answer:
B a rotation about point H
Step-by-step explanation:
Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?
a reflection across the line containing HK
a rotation about point H
a reflection across the line containing HJ
a rotation about point K
Answer:
AB = 21
Step-by-step explanation:
So we have two triangles (AEB and ADC), and they're similar by AA
Now, you can find the ratio of similitude by checking AE/AD which is 14/26 = 7/13
AB/AC = 7/13
Take AB as x aight
x/x+18 = 7/13
x=21
