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patriot [66]
3 years ago
13

Find m∠BAC and m∠DAB in the figure shown below.

Mathematics
2 answers:
masha68 [24]3 years ago
8 0
\angle BAC=\angle DAE=80^{\circ}\\
\angle DAB=180-\angle BAC=180-80=100^{\circ}
Anarel [89]3 years ago
4 0

Answer:

m∠BAC = 80° and m∠DAB = 100°

Step-by-step explanation:

We are given, m∠DAE = 80°.

We have, ∠DAE and ∠BAC are vertical angles.

<em>Since, 'Measure of vertical angles are equal'.</em>

So, m∠BAC = m∠DAE = 80°.

Thus, m∠BAC = 80°.

<em>Moreover, 'Sum of measures of angles in straight line is 180°'.</em>

So, m∠DAB + m∠BAC = 180°

i.e. m∠DAB = 180° -  m∠BAC

i.e. m∠DAB = 180° -  80°

i.e. m∠DAB = 100°

Thus, m∠DAB = 100°

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Answer:

Amount he must have in his account today is  $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)

here,

C = Regular withdraw amount

Thus,

Present Value = C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)

Present Value = 900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)

Present Value = 936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]

Present Value = 936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]

Present Value = 936 × 6.00205

or

Present Value = $5,617.92

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Amount he must have in his account today is  $5,617.92

7 0
3 years ago
An hourly salary of $45 is equivalent to what annual salary? Assume a 35-hour work week. ​
KonstantinChe [14]

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7 0
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Read 2 more answers
The ordinate is twice the abscissa
zepelin [54]

We can construct the function:

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Hope this helps.

r3t40

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Remem

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