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Anna11 [10]
3 years ago
10

On a piece of paper, use a protractor to construct right triangle DEF with DE=4 in. , m∠D=90° , and m∠E=45° .

Mathematics
2 answers:
uysha [10]3 years ago
8 0

Answer: DF = 4 in

Step-by-step explanation:

Here in triangle DEF,

In which DE = 4, m\angle D=90^{\circ} , and m\angle E=45^\circ}

Since, tan E = \frac{FD}{DE}

⇒ tan 45^{\circ} = \frac{FD}{DE}

⇒  1 = \frac{FD}{4}

⇒  FD = 4

Thus, first option is correct.

hoa [83]3 years ago
3 0

Answer:

It is A i had this question and it was right

Step-by-step explanation:

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Answer the questions in the picture ​
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3 years ago
Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0
1 year ago
EMERGENCY OOF HELP WITH MATH PIZZZ<br><br> 5 + x^2= 2x^2+ 13<br><br> Provide steps and thanks
galben [10]

Answer:

false statement

Step-by-step explanation:

5+x^2=2x^2+13

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3 years ago
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