Answer:
19.6
Step-by-step explanation:
35^2-29^2=384
sqrt 384=19.6
Answer:
x=40, ∠ACB=125, ∠ACD= 55
Step-by-step explanation:
In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.
With this information, we can conclude 3x+5+2x-25=180.
To solve this equation for x,
1. Combine like terms
5x-20=180
2. Add 20 to both sides
5x=200
3. Divide both sides by 5.
x=40
Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.
1. ∠ACB: 3(40)+5
120+5
∠ACB = 125
2. ∠ACD: 2(40)-25
80-25
∠ACD = 55
(4x - 2) -
(6x + 9) < 4 Use the Distributive Property
2x - 1 - 4x + 6 < 4 Combine like terms (-1 and 6)
2x + 5 - 4x < 4 Combine (2x and -4x)
-2x + 5 < 4 Subtract 5 from both sides
-2x < -1 Divide both sides by -2, don't forget to flip the inequality sign after dividing by a negative
x >
Answer:
Step-by-step explanation:
The answer is
inches
Step 1. Subtract length of the door from the width of the door:
Step 2. You want the same space to be on each side of the bar. So, divide the difference from step 1 by 2: