Answer:
151
Step-by-step explanation:
Plug in 23(6)+5(3)-2
Simplify 138+15-2
Solve 153-2
151
Answer:
∠1=135°
∠2=45°
∠3=45°
∠4=135°
∠5=135°
∠6=45°
∠7=45°
∠8=135°
Step-by-step explanation:
→∠1=∠4[Being vertically opposite angles]
→∠4=135°
→∠1=∠5[Corresponding angles]
→∠5=135°
→∠5=∠8[Being vertically opposite angles]
→∠8=135°
→∠1+∠2=180°[Sum of linear pair]
→∠2=180°-135°
→∠2=45°
→∠2=∠3[Being vertically opposite angles]
→∠3=45°
→∠3=∠6[Alternate angles]
→∠6=45°
→∠6=∠7[Being vertically opposite angles]
→∠7=45°
Answer:
=8
Step-by-step explanation:
Evaluate for x=y,y=x
8+5(x−x)
8+5(x−x)

To solve for x, we have to remember to isolate the variable.

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

Let's distribute the 0.5 first.


Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

Then, we simplify the entire expression.


Our equation now:

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.


Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.


Finally, we divide both sides by 6 to isolate x.


Girls: 81
boys: 75
4x +6 = 156
4x = 150
x = 37.5
2x = 75
girls: 75 + 6
boys: x