Answer:
Step-by-step explanation:
r-13,725 <_ 1650
r-<_ 15,375
r-13725>_-1650
r >_12,125
Tuition could be between $12,125 and $15,375
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Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105
x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216
x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r
(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
Answer:
6) a.
7) d.
8) a.
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Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
1. 4.5g + 6 < = 40
4.5g < = 40 - 6
4.5g < = 34
g < = 34/4.5
g < = 7.56
True statement : John can buy 7 gallons but not 8
2. 250 + 3b < = 800
3b < = 800 - 250
3b < = 550
b < = 550/3
b < = 183.33
True statement : The maximum number of new baseballs that can be purchased is 183
3. 3x + 6 > 15
3x > 15 - 6
3x > 9
x > 9/3
x > 3
4. 4x - 6 < 2x + 8
4x - 2x < 8 + 6
2x < 14
x < 14/2
x < 7
5. 3 - 2x > 9
-2x > 9 - 3
-2x > 6 ...when dividing by a negative, u flip the inequality sign
x < -6/2
x < -3
True statement : - 2
7. 3x - 3 < -12 OR -4x < = -32
3x < -12 + 3 x > = -32/-4
3x < - 9 x > = 8
x < -9/3
x < -3
answer : x < - 3 OR x > = 8
8. -7x + 9 < 72 AND 5x - 3 < = 7
-7x < 72 - 9 5x < = 7 + 3
-7x < 63 5x < = 10
x > -63/7 x < = 10/5
x > - 9 x < = 2
answer : -9 < x < = 2
