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3 years ago

If BC = 6 and AD = 5, find DC. A) 4 B) 4.5 C) 7.2

Mathematics

1 answer:

Jlenok [28]3 years ago

8 0

We have three similar triangles, because each has a right angle and shares an angle. Let's write the angles in order: opposite to short leg, long leg, hypotenuse.

CAB similar to BAD similar to CBD

Or as ratios,

CA:AB:CB = BA:AD:BD = CB:BD:CD

We also know

AC = AD + CD

(AD+CD):AB:CB = BA:AD:BD = CB:BD:CD

(AD+CD)/CB=CB/CD

We have CB=6, AD=5 and seek x=CD.

$(5 + x)/6 = 6/x$

$x(x+5) = 36$

$x^2 +5x - 36 = 0$

$(x+9)(x-4) = 0$

We reject the negative root and conclude x=4

Answer: 4

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9.2 Multiplying and Factoring Polynomials 8m ( m+6 )

poizon [28]

You would multiply 8m by m and 6 separately. it would be 8m^2 + 48m

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3 years ago

Combine like terms. x^2y-3xy^2-6x^2y

balu736 [363]

The result after combining like terms is: $-5x^2y-3xy^2$

Step-by-step explanation:

Given expression is:

$x^2y-3xy^2-6x^2y$

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

Combining like terms:

$x^2y-6x^2y-3xy^2\\= -5x^2y-3xy^2$

Hence,

The result after combining like terms is: $-5x^2y-3xy^2$

Keywords: Expressions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

3 years ago

Find the missing dimension:if the perimeter is 6yards and the length is 6ft .what is the width?in yards

larisa [96]

Since you haven't identified this figure, I'm going to assume that it's a rectangle.

The Perimeter of a rectangle of length L and width W is P = 2L + 2W.

Here you are given the Perimeter and the length, and are to find the width, W.

Solving the above equation for W, we get P - 2L = 2W.
Dividing by 2 (to isolate that W), we get

P
-- - L = W
2

Substitute P= 6 yds and L = 6 feet (or 2 yds), find W (in yards).

8 0

3 years ago

Which angle is a reflex angle? A. An angle measuring 105 . An angle measuring 185 degrees . An angle measuring 65 D. An angle me

son4ous [18]

Answer:

an angle greater than 180° and less than 360°.

Step-by-step explanation: