Answer:
5
Step-by-step explanation:
B and D are congruent. Set them equal to each other.
15x + 5 = 16x - 2
x = 7
Plug into B.
15(7) + 5 = 110
180 - 110 = 70
12y + 10 = 70
12y = 60
60 / 12 = 5 = y
Answer:
a) 3x - 11
b) 10x + 4
Step-by-step explanation:
a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:
4x –6 –x –5. 4x–x–6–5
3x –11
b) Put all the x terms together.
Put all the integers together.
Add. Adding a negative is the same as subtracting.
4x+x+5x = 10x
+6-2 = 4
Combine them:
10x + 4
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
Answer:
(3, - 1)
Step-by-step explanation:
5x - 4y = -11
2x + 3y = -9
Multiply the top equation by 2 and the bottom equation by - 5 to cancel out the x's.
10x - 8y = - 22
- 10x - 15y = 45
Cancel out x's.
-8y = - 22
- 15y = 45
Add like terms.
- 23y = 23
Can't have a negative variable to flip them.
-23 = 23y
Divide.
y = - 1
Input y into one of the equations and solve for x.
2x + 3(-1) = -9
Simplify.
2x -3 = -9
Cancel out -3 by adding 3.
2x = -6
Divide.
x - -3
