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meriva
3 years ago
15

How do I solve for x?

Mathematics
1 answer:
NISA [10]3 years ago
5 0
Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

 5          6
---- = ---------
14      6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
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Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.
kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.

According to SOH:

Sin(A) = Opposite/Hypotenuse

Sin(A) = |BC|/|AB|

Opposite side of the triangle is the  side facing ∠A.

Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.

8 0
3 years ago
Read 2 more answers
the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.
never [62]
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

4 0
3 years ago
The expression 21m−49n factored using the GCF
rewona [7]
Here is my work for the problem. Hope this helps!

5 0
3 years ago
Read 2 more answers
6x + 4x - 1 = 2(5x + 4)
garik1379 [7]

Answer: no solutions

Step-by-step explanation:

8 0
3 years ago
Please help ASAP! i will mark brainliest
Kitty [74]

Use two pints on the graph to find the slope:

(0,0) and (5,1)

Slope = Change in Y over the change in x.

Slope = (1-0) / (5-0) = 1/5 = 0.20

The slope of the given equation is 0.25 which is greater than 0.20.

The unit rate is greater in the equation.

8 0
3 years ago
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