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3 years ago

Need help with this please (｡ŏ﹏ŏ)

Mathematics

1 answer:

Elis [28]3 years ago

4 0

A triangle always equals 180 degrees

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The length of a rectangular swimming pool is twice as long as its width. If the perimeter of the pool is

Nitella [24]

The perimeter of a rectangle is the sum of its sides, which are two widths and two lengths:

$p=w+w+l+l$

Since the length is twice the width, we have $l=2w$ , and the formula for the perimeter becomes

$p=w+w+2w+2w=6w$

So, we have

$6w=120 \iff w=\dfrac{120}{6}=20$

4 0

3 years ago

In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th

olya-2409 [2.1K]

Answer:

$\frac{BE}{EC} =\frac{1}{3}$

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

$\frac{BK}{CK} =\frac{1}{4}$

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK and Δ EBK are similar

so we have

$\frac{AD}{BE} =\frac{DK}{BK}$

$\frac{AD}{BE} =\frac{4}{1}$

$\frac{BC}{BE}=\frac{4}{1}$ ( ABCD is parallelogram so AD=BC)

$\frac{BE+EC}{BE}=\frac{4}{1}$ ( BC= BE+EC)

$\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}$

$1+\frac{EC}{BE}=4$

$\frac{EC}{BE}=3$ ( subtracting 1 from both side )

$\frac{EC}{BE}=\frac{3}{1}$

taking reciprocal both side

$\frac{BE}{EC} =\frac{1}{3}$

8 0

3 years ago

What numbers less than 200 are divisble by 4 but not 12

kolezko [41]

Answer:

There are 48 numbers that satisfy the condition

Step-by-step explanation:

Find the relationship between 3 and 12

3 * 4 = 12

The maximum number of multiples of 12 within 200 is 18.

The maximum number of multiples within 200 is 66.

So the number of numbers within 200 that go exactly into 3 but not exactly into 12 is:

66-18 = 48

3 0

2 years ago

What is the standard form of 3+5x-4x^2<br>and what is the standard form of 8x+x+5+x^3

harina [27]

Answer:

1. -4x^2 + 5x + 3

2. x^3 + 9x + 5

Step-by-step explanation:

hope this helps

4 0

2 years ago

In the function y-1 = (4x)² + 7, what effect does the number 4 have on

bija089 [108]

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression (x,y) -> (x/p , y)

8 0

3 years ago