Answer:
25 units
Step-by-step explanation:
Applying Pythagoras' Theorem,
(BD)^2= (CD)^2 + (BC)^2
(BC)^2= 65^2 - 60^2
(BC)^2= 625
BC= √625= 25
<h3>
Answer: 5 < x < 29</h3>
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Explanation:
Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.
So 2x-10 < 48
At the same time, 2x-10 is also larger than 0.
Overall, we can say 0 < 2x-10 < 48
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Let's solve for x
0 < 2x-10 < 48
0+10 < 2x < 48+10 ...... add 10 to all sides
10 < 2x < 58
10/2 < x < 58/2 ..... divide all sides by 2
5 < x < 29
You can but it would be going straight up and down
Answer:
g= - 32
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Add 5 to both sides.
Step 4: Multiply both sides by 4/(-1).
g=−32
Answer:
Step-by-step explanation:
- Number of dimes = d, each d = 10 c
- Number of quarters = q, each q = 25 c
- Total = $2 = 200 c
<u>Equations according the given:</u>
<u>Solve for q by substitution:</u>
- 10(q + 6) + 25q = 200
- 10q + 60 + 25q = 200
- 35q = 140
- q = 140/35
- q = 4
<u>Find the value of d:</u>
Nathaniel has 10 dimes and 4 quarters