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Pachacha [2.7K]
3 years ago
8

Alex collects stamps. She has 47 stamps in all. She has 20 stamps from europe. The number of african stapes is 2 times the numbe

r of asian stamps. How many stamps from each of these 3 countries she have use reasoning to write a numerical expression .
Mathematics
1 answer:
ryzh [129]3 years ago
4 0
47=20+(2x+y)
Let x represent the African stamps and y represent the Asian stamps.
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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
A shoe store donated a percent of every sale to hospitals. The total sales were ​$6,060 so the store donated ​$303. What percent
lesya692 [45]

Answer:

5%

Step-by-step explanation:

303 = 6060p

303/6060 = p

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They are congruent by SSS. (Side-side-side)

The two outside pairs of sides are stated as congruent.

The inside side is congruent by reflective property

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2 years ago
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Answer:

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Step-by-step explanation:

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combime like factors

28= -7x

divide 28/ -7

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6 0
3 years ago
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