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3 years ago

Solve for x. that is all thats provided for the question

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer:

The, value x for the give problem is 20 units.

Step-by-step explanation:

Consider triangle ABC,

Now, from the attached figure

Given that

PQ || AB

CP = 8units

PA = 6 units

CQ = x = ? units.

QB = 15 units

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (8) / (6) = (x) / (15)

On applying cross multiplication then

⇛ 8(15) = x(6)

⇛ 120 = 6x

⇛ x = 120÷6

⇛ x = 120/6

Therefore, x = 20 units.

Answer: Hence, value of x is 20 units.

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"

Please let me know if you have other questions.

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Anna35 [415]

Answer:

Step-by-step explanation:

The solution is B. In each equation, it uses parenthesis to group operations. On the left, each pair repeats one number either 1.6 and 4.2. On the right is written the reduced form by writing the expression with a greatest common factor.

Option A is incorrect since 1.6 is not the GCF which appears in each parenthesis.

Option B is incorrect because the operation in the parenthesis is multiplication and not addition.

Option C is incorrect because 1.6 as a GCF is applied using multiplication.

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Answer:

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Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

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Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

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