Answer:
x=-10
Step-by-step explanation:
2=-8-x
x=-8-2
=-10
Answer:
135 degrees
Step-by-step explanation:
- Angle CBD is the sum of angle ABC and angle ABD, so we find these first
- An Isosceles triangle has 2 equal sides and 2 equal angles
- Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
- Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
- So knowing that angles of triangle add up to 180, then
- Now we do the next triangle to get ABD
- Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
- So knowing that angles of triangle add up to 180, then
- Now we said, angle CBD is the sum of angle ABC and angle ABD, so
Answer:
£13
Step-by-step explanation:
Set up a system of equations where s represents the cost of one shirt and j represents the cost of one jumper:
2s + j = 29
s + j = 21
Multiply the bottom equation by -2 to solve by elimination by cancelling out the s variables:
2s + j = 29
-2s - 2j = -42
-j = -13
j = 13
One jumper will cost £13
Answer:
im black
Step-by-step explanation:
Answer:
The three consecutive odd integers are: -11, -13 and -15.
Step-by-step explanation:
Let the smallest number be represented by x. then the three consecutive odd integers are: x, (x + 2) and (x = 4).
The sum of the smallest number and twice the larges number = x + 2(x + 4)
Fifteen more than four times the middle number = 4(x + 2) + 15
So that;
x + 2(x + 4) = 4(x + 2) + 15
x + 2x + 8 = 4x + 8 + 15
3x + 8 = 4x + 23
3x - 4x = 23 - 8
-1x = 15
⇒ x = -15
(x + 2) = (-15 + 2) = -13
(x + 4) = (-15 + 4) = -11
The three consecutive odd integers are: -11, -13 and -15.
