Answer:
∠w and ∠v, ∠x and ∠y
Step-by-step explanation:
The angles that are corresponding are the angles with the same markings.
w and v both have a double arc marking, thus
∠w and ∠v are corresponding
∠x and ∠y both have a single arc marking, thus
∠x and ∠y are corresponding
Answer:
2.6 pounds of apples; 1.2 pounds of bananas
Step-by-step explanation:
A = pounds of apples and B = pounds of bananas
The total weight is 3.8 pounds, so:
A + B = 3.8
Apples are $1.90 per pound and bananas are $0.75 per pound, and the total cost is $5.84, so:
1.90A + 0.75B = 5.84
We can solve the system of equations using either elimination or substitution.
Using substitution:
1.90A + 0.75(3.8 - A) = 5.84
1.90A + 2.85 - 0.75A = 5.84
1.15A = 2.99
A = 2.6
B = 3.8 - A
B = 1.2
3. | -9 | = 9
7. - | -5 * -7 | = - | 35 | = -35
15. | m + 3 | = 7
m + 3 = 7 -(m + 3) = 7
m = 7 - 3 -m - 3 = 7
m = 4 -m = 10
m = -10
so m = 4 and m = -10
17. | -3d | = 15
-3d = 15 -(-3d) = 15
d = 15/-3 3d = 15
d = - 5 d = 15/3
d = 5
so d = 5 and d = -5
19. | 4b - 5 | = 19
4b - 5 = 19 -(4b - 5) = 19
4b = 19 + 5 -4b + 5 = 19
4b = 24 -4b = 14
b = 24/4 b = 14/-4
b = 6 b = - 7/2
so b = 6 or b = -7/2
20. | x - 1 | + 5 = 2
| x - 1 | = 2 - 5
| x - 1 | = -3
There is no solution on this one because an absolute value cannot equal a negative number
21. -4 | 8 - 5n | = 13
| 8 - 5n | = - 13/4
There is also no solution for this one because of the same reason...absolute values cannot equal negative numbers
15/24 because 5/3 X 1/4 = 5/12 X 3/2= 15/ 24
Answer:
a. 140 in²
Step-by-step explanation:
Find the area of triangle
1/2×10×6 = 30
The area of rectangle
10×11 = 110
Total of area = 30 + 110
= 140 in²