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Svetach [21]
4 years ago
10

4 + 2(6x + 8) = 6x + 38

Mathematics
1 answer:
LuckyWell [14K]4 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

4 + 12x + 16 = 6x + 38

12x - 6x = 38 - 16 - 4

6x = 18

x = 18 / 6

x = 3

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Answer:

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Step-by-step explanation:

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3 years ago
In trapezoid ABCD, AB ∥ CD , m∠A=90°, AD=8 in, DC=9 in, CB=10 in, and ∠B is acute. Find DB.
kiruha [24]

Answer:

the length of DB is 17 in

Step-by-step explanation:

Consider the sketch attached.

We will draw an imaginary line from point C to met line AB at point E.

A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

CB = 10 in

CE= 8 in

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We will now proceed to find out the length of side EB using the Pythagoras' theorem.

EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in

From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

DA= 8in

AB = 9 in + 6 in = 15 in

DB = unknown.

We will now proceed to find out the length of side DB using the Pythagoras' theorem.

DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in

Therefore, the length of DB is 17 in

6 0
4 years ago
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The longer sides are slanting and the shorter sides arent

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X - 32 = 68 - 4x
+32 +4x       + 32 +4x
____________
5x = 100
---     -----
 5        5
x = 20
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3 years ago
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