Which classification describes ∠ACD and ∠DCB?

Mathematics

1 answer:

AfilCa [17]2 years ago

5 0

The answer is linear pair. This is because the sum of the angles equals 180 degrees.

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The width of a rectangle is 7/15 of its length. The width of the rectangle is 56 cm. Find the length of the rectangle.

Hoochie [10]

W = 7/15 L

w = 56

56 = 7/15 L

56 x 15/7 = 7/15 x7 L

L = 120

8 0

2 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

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2 years ago

A ladder is leaning against a building so that the distance from the ground to the top of the latter is 1 foot less than the len

masha68 [24]

Answer:

$25\text{ feet}$

Step-by-step explanation:

The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.

For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ( $a^2+b^2=c^2$ ), where $c$ is the hypotenuse.

Let the length of the ladder be $\ell$ (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as $\ell -1$ .