Answer:
x=90? is there any other info?
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180 degrees. Thus,
the sum of 31, x+4 and 3x+9 must be 180.
31 + x + 4 + 3x + 9 = 180, or 44 + 4x = 180
While it's not necessary, y ou could reduce this equation before solving for x:
11 + x = 45. Then x = 34 degrees.
The three angles are then:
31
34+4 = 38
3(34) + 9 = 111
Check: show that 31+38+111 = 180 (degrees)
Answer:
24
Step-by-step explanation:
15 =4
15x 6=90
4x6=24
Answer:
Cameron and Rebecca are organizing a lunch for their friends. Within the dishes to be served, they will prepare a tomato, carrot and broccoli salad. The number of tomatoes and carrots are 10-partners and the total amount of vegetables is 12. If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners. What is the number of tomatoes, carrots and broccoli bought by Cameron and Rebecca?
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Step-by-step explanation:
Number of tomatoes = x
Number of carrots = 10 - x
Number of broccoli = y
System of Equations:
x + 10 - x + y = 12
y = 12 - 10
y = 2
x - 2 + y + 3 = 10 (If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners)
x + 1 + y = 10
x + y = 9
y = 9 - x
Substitution of y:
x + 10 - x + y = 12
x + 10 - x + 9 - x = 12
-x + 19 = 12
-x = 12 - 19
x = 7 ⇒ 10 - x = 3
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Note: Same answer to question 14280211, answered by me today.
Given that a is an integer from -22 to 0 such that a is equivalent to 43 (mod 23).
Such a can be obtained as follows:
a = 43 (mod 23) - 23 = 20 - 23 = -3.
Therefore, a = -3.