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3 years ago

Diagram is shown below.

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

A) ∠BEC is one-half of ∠BAC

B) ∠BEC = 60°

C) ∠BDC = 120°

Step-by-step explanation:

C) arc BDC = 120°

arc BEC = 360° - 120° = 240°

∠BDC = 1/2(240°) = 120°

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Find equations for the lines through the point (a,

Free_Kalibri [48]

The line y = mx + c has a slope of m.

Parallel line:
A parallel line will also have a slope of m, and should be of the form
y = mx + k
Because the line passes through the point (a,b), therefore
ma + k = b
k = b - ma
The equation of a parallel line is
y = mx + b - ma
= m(x-a) + b

Perpendicular line:
A perpendicular line will have a slope of -1/m, because the product of slopes should be -1.
The equation for a perpendicular line is of the form
y = -(1/m)x + k
Because the line passes through (a,b), therefore
-(1/m)a + k = b
k = b + a/m
The equation for a perpendicular line is
y = -(x/m) + b + a/m
= -(1/m)(x-a) + b

Answer:
Parallel line: $y=m(x-a)+b$
Perpendicular line: $y=- \frac{1}{m}(x-a)+b$

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3 years ago

What is 1.323 as a percent

My name is Ann [436]

1.323 as a percent is 132.3% because you take the decimal and move it two spaces to the right->

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3 years ago

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Select all the roots of the following equation.

strojnjashka [21]

Answer:

5, -9

Step-by-step explanation:

(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero

x - 5 = 0

x = 5

x + 9 = 0

x = -9

6 0

3 years ago

Read 2 more answers

Solve a,b,c,d and e.

Westkost [7]

Answer:

Step-by-step explanation:

428721

Place of 2's 10s and 10,000s

Therefore its value is 20 and 20,000

Product of the place value = 20 x 20,000 = 4,00,000

37,20,861

Place of 7 is 1,00,000

Therefore the place value is 7,00,000

Greatest 7 digit number is 99,99,999

Adding 1 to it = 99,99,999 + 1 = 1,00,00,000

85642 = 80000 + 5000 + 600 + 40 +2

round off 85642 to nearest thousand = 86,000

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3 years ago

In the center of town there is a square park with an area of 900 square feet. If Stephen walks from one corner of the park to th

Vedmedyk [2.9K]

The distance walked by Stephen is 42.42 feet

<h3>Solution:</h3>

Given that In the center of town there is a square park with an area of 900 square feet

Stephen walks from one corner of the park to the opposite corner

To find: Distance walked by Stephen

We need to find the distance that the person walk from one corner of the park to the opposite corner.

So, we need to find the Diagonal of the square park

The diagonal of square is given as:

$\text{ Diagonal } = \sqrt{2} \times \text{ side}$

Let us find the length of side of square

Given area of square = 900 square feet

The area of square is given as:

$area = (side)^2\\\\900 = (side)^2$

Taking square root on both sides,

$side = \sqrt{900} \\\\side = 30$

Thus length of each side of square is 30 feet

Therefore, length of diagonal is given as:

$diagonal = \sqrt{2} \times 30\\\\diagonal = 1.414 \times 30 = 42.42$

Hence, the distance that the person walks 42.42 feet

3 0

3 years ago