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3 years ago

-3 = 7 - BLANK pls tell me what blank is

Mathematics

2 answers:

liberstina [14]3 years ago

4 0

Answer:

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Radda [10]3 years ago

4 0

Answer:

$\boxed{10}$

Step-by-step explanation:

$-3=7- \sf BLANK$

$\sf Subtract \ 7 \ from \ sides.$

$-3-7=-7+7- \sf BLANK$

$-10=- \sf BLANK$

$\sf Multiply \ both \ sides \ by \ -1.$

$-10(-1)=(-1)- \sf BLANK$

$10= \sf BLANK$

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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

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Answer:

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

Step-by-step explanation:

In the diagram below we have

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

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)

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

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

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3 years ago

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Answer:

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Here, we are told there is a price off of 40% on an item that costs $35.

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We proceed by finding 40% of $35

Mathematically, that would be;

40/100 * 35 = $14

The price of the item before the tax is thus;

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2 years ago