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3 years ago

ABCD is a square

Mathematics

1 answer:

Arlecino [84]3 years ago

4 0

Look at line CDF and see how it includes all 3 shapes.

The angle of the square is 90 and the equilateral triangle is 60 because 180/3

90 + 60= 150

180 - 150 = 30

Angle ADE is 30 degrees

Since it is an isosceles triangle, the base angels are the same so angle AED is also 30 degrees

You know that DEF is equal to 60 so...

60 + 30 = 90 degrees

Hope this helps and have a nice day!

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What is the equation of the line that passes through the point (-6, -2) and has a<br> slope of 1/6

Levart [38]

<h2>Answer:</h2>

Step 1: Determine <u><em>b</em></u> by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

$y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b$

Step 2: Now that we have <u><em>b</em></u>, we can determine the equation of the line.

$y = \frac{1}{6}x -1$

I didn't use <em>+ (-1)</em> because <em>b</em> is negative. Therefore you need to change the equation from <em>y = 1/6x + (-1)</em> to <em>y = 1/6x - 1</em>.

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3 years ago

There are 8 people on the debate team. In how many ways can the coach choose 4 members to send to competition?

meriva

he can either send one half or the other half.

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3 years ago

Read 2 more answers

You have the following numbers: 1, 2, 3, 4, 5. Using these numbers, write at least 10 different mathematical expressions. Use at

masya89 [10]

Mathematical expressions allow us to relate numbers using mathematical symbols to make calculations. some examples are:

2 + 3 = 5
4 - 1 = 3
2 × 2 = 4
4 ÷ 2 = 2
2² + 1 = 5
(1 + 2) + (2 × 1) = 5
(2 + 3) - 4 = 1
(2 + 2)² ÷ 4 = 4
(2 ÷ 4)² × 4 = 1
(2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5

<h3>What is a mathematical expression? </h3>

A mathematical expression is a sequence of characters that are intended to express a general relationship between the terms expressed in the formula.

Mathematical expressions generally have symbols like:

Add +
Subtraction -
Multiplication ×
Division ÷
Exponent $x^{x}$
Equal =
Parentheses ()

According to the above, some examples of mathematical expressions are:

2 + 3 = 5
4 - 1 = 3
2 × 2 = 4
4 ÷ 2 = 2
2² + 1 = 5
(1 + 2) + (2 × 1) = 5
(2 + 3) - 4 = 1
(2 + 2)² ÷ 4 = 4
(2 ÷ 4)² × 4 = 1
(2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5

Learn more about mathematical expressions in: brainly.com/question/14712183

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2 years ago

Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

maksim [4K]

Answer:

The equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Step-by-step explanation:

Here, given:

Length of major axis: 20

⇒ 2 a = 20 , or , a = 10

Length of minor axis: 12

⇒ 2 b = 12 , or , b = 6

Also, center (h,k) = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\$

Now, substituting the values, a, b , h and k in above expression, we get:

$\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2} = 1\\$

or, $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

Hence, the equation of a vertical ellipse is $\frac{(x-6)^2}{100} + \frac{(y-3)^2}{36} = 1\\$

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3 years ago

2 tan x<br>______<br>1+tan^2 x

Readme [11.4K]

Step-by-step explanation:

<h2> It's the expanded formula of </h2>

Tan2x

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3 years ago