The answer is 1,230. All you have to do is add everything on the right side you don’t have to worry about anything on the left.
Answer:
4 boys, 3 girls
Step-by-step explanation:
brothers of John ⇒ x
sisters of John ⇒ y
John has as many brothers as sisters:
- x = y
brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))
sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))
Emily has twice as many brothers as sisters:
- 2 (y-1) = x+ 1
Now we have a system of 2 equations and 2 variables
x=y (I)
2y - 2 = x + 1 (II)
____________
Replace x in equation II
2y - 2 = y + 1
2y - y = 2 + 1
y = 3
____________
Replace y in equation I
x = y = 3
That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family
Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1
Solution: the slope will be -1
Answer:
A. n5+4 B. (4+n)5 C.(4+n)/5 D.(n*n)3 E. (n*3) 2
Step-by-step explanation:
I am not good at explaining but for E. the 2 will be squared but I am not sure how to type it out so Hope this can help ;)
Answer:
The vertex angle is 94 degrees
Step-by-step explanation:
Let the vertex angle be x
Mathematically, the base angles of an isosceles triangle are the same
So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too
Mathematically, the sum of angles in a triangle is 180 degrees
Thus;
43 + 43 + x = 180
x = 180-86
x = 94 degrees
