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3 years ago

∠BOD and ∠COA are ________ angles. supplementary vertical complementary similar

Mathematics

2 answers:

Paul [167]3 years ago

7 0

Answer:

vertical angles

Step-by-step explanation:

∠BOD and ∠COA are both opposite the vertex at O and are vertical angles.

Reptile [31]3 years ago

7 0

Answer:

Vertical angles

Step-by-step explanation:

Supplementary angles : A pair of angles whose sum is 180°,

Vertical angles : A pairs of opposite angles which are made by two intersecting lines.

Complementary angles : A pair of angles whose sum is 90°,

In the given diagram,

The measurements of ∠BOD and ∠COA are not given,

Thus, we can not say that they are supplementary or complementary,

But, ∠BOD and ∠COA are opposite angles formed in the intersection of lines AD and BD.

Hence, they are vertical angles.

Note : two figures are called similar if they have same shape however have different size. While, angles are not a figure.

Thus, they can not be similar. They can be equal or unequal.

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In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int

muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate in decimal
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

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∴ A = 5000

∴ t = 2

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∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ $5000=P(1+\frac{0.03}{12})^{(12)(2)}$

∴ $5000=P(1+0.0025)^{24}$

∴ $5000=P(1.0025)^{24}$

- Divide both sides by $(1.0025)^{24}$

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

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3 years ago

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3 years ago

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What is the slope of the line that passes through the points (7,26) and (12, -39)?

Elena-2011 [213]

The slope (m) = -13.

We can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Let (x1, y1) = (7, 26)
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