Answer: See explanation
Step-by-step explanation:
Second term = a + d = 28 ....... i
Fifth term = a + 4d = 52 ......... ii
Subtract equation I from ii
3d = 24
d = 24/3 = 8
d = common difference = 8
Since a + d = 28
a + 8 = 28
a = 28 - 8 = 20
First term = a = 20
u10 = a + (n-1)d
= a + (10-1)8
= 20 + (9 × 8)
= 20 + 72
= 92
Answer:
5. ∠1 = 75.5°
∠2 = 75.5°
6. ∠1 = 56°
∠2 = 124°
7. ∠1 = 60°
∠2 = 120°
8. ∠1 = 59°
11. ∠1 = 99°
12. ∠2 = 25°
Step-by-step explanation:
Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
Answer:
Hii okay so the answer would be, 8
Step-by-step explanation:
So she spent $200 and got 2 pairs of jeans that costed $50 for both.
So we subtract 50 from 200 which would be 150. This is the total she has
left to spend on her shirts. So 150 divided by 18 (Remember each shirt cost $18) Would be 8.3, we round to the nearest number and it would be 8. Hope this helps!
Apply the : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles) theorems
step-by-step explanation:
The property to apply here is : congruent (corresponding alternate exterior and alternate interior angles) and supplementary (consecutive interior angles)
1.h = 180°-120°=60°=e=d=a
f=120° = c=b
2.b=180°-105°=75°=c=f=g
a=105°=e=h
3. f=180°-36°=144°=g=c=b
a=36°=d=h
4. a=180°-161°=19°=e=h=d
c=161°=f=g
5. f=180°-145°=35°=g=c=b
a=145°=d=h
6. b=180°-25°=155°=c=f=g
25°=d=e=h
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Angles :brainly.com/question/13209798
Keywords: parallel lines, intersect, transversal, angle
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