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slava [35]
3 years ago
5

Look at the diagram

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

24

Step-by-step explanation:

18×(18+14) = x × (x + 0)

"+ 0" because it is a tangent at that point, there is no more line left going through the circle.

576 = x²

x = 24

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Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same
Orlov [11]

Let S = his average speed.

Let D = distance traveled one way

Time = distance / speed

Set up an equation:

d/6 + d/12 = 2d/S

Multiply the equation by 12s:

12s(d/6) + 12s(d/12) = 12s(2d/s)

Simplify to get:

2sd + sd = 24d

Combine like terms:

3sd = 24d

Divide both sides by d:

3s = 24

Divide both sides by 3:

s = 24/3

s = 8

His average speed was 8 mph.

8 0
2 years ago
The area of the conference table in Mr. Nathan’s office must be no more that 175 ft^2. If the length of the table is 18 ft more
hodyreva [135]

Answer:

(0, 7]

Step-by-step explanation:

Let's call the width W and the length L.  The length is 18 feet more than the width, so:

L = W + 18

The area can be no more than 175, so:

A ≤ 175

LW ≤ 175

Since L = W + 18:

(W + 18) W ≤ 175

W² + 18W ≤ 175

W² + 18W - 175 ≤ 0

(W - 7) (W + 25) ≤ 0

-25 ≤ W ≤ 7

However, the width of the table can't be nonpositive, so:

0 < W ≤ 7

Or in interval notation, (0, 7].

6 0
3 years ago
Is 1/3 more than 2/6
nevsk [136]
No they are equal, reduce 2/6 to get 1/3 
5 0
3 years ago
Read 2 more answers
Given: AB=BC,AM=MC BM ⊥AC , EF⊥BC Prove: EC/AB = FC/MA
kenny6666 [7]

Answer:

<em>9</em><em>0</em><em> </em><em>degree</em><em> </em><em>EFC</em><em>. </em><em>and</em><em>. </em><em>BMC</em>

<em>across</em><em> </em><em>fc</em><em>/</em><em>ma</em><em> </em>

<em>across</em><em> </em><em>ec</em><em>/</em><em>ab</em>

5 0
3 years ago
If b = 7, what is the value of the expression 2(10 – b)?
Stella [2.4K]

Answer:

6

Step-by-step explanation:

10-7=3

2*3=6

4 0
3 years ago
Read 2 more answers
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