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tatiyna
3 years ago
8

Match each percent amount to its correct value. Tiles 15% of 30 30% of 45 60% of 7 23% of 20

Mathematics
2 answers:
Naddik [55]3 years ago
8 0
15% of 30 = 4.5
30% of 45= 13.5
60% of 7= 4.2
23% of 20= 4.6
Vlad [161]3 years ago
4 0

Answer:

15% of 30 = 4.5

30% of 45= 13.5

60% of 7= 4.2

23% of 20= 4.6

Step-by-step explanation:

We multiply each percent amount. To remove % we divide by 100

15% of 30

15/100 * 30 = 0.15 * 30=4.5

30% of 45

30/100 * 45 = 0.30 * 45=13.5

60% of 7

60/100 * 7 = 0.6 * 7=4.2

23% of 20

23/100 * 20 = 0.23 * 20=4.6

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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]

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

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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}

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1 year ago
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3 years ago
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