In the figure, j∥k and m∠1 = 63°.

Mathematics

1 answer:

trapecia [35]3 years ago

5 0

Answer:

The answer is 117

Step-by-step explanation:

This is because m<1 is a linear pair with m<4 and it is said that linear pairs always add up to 180. so, 180-63=117.

You might be interested in

the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Crazy boy [7]

You can use the distance formula to solve this.

Distance Formula:
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
Solve:
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
$d = \sqrt{(-4)^2 + (-6)^2}$
$d = \sqrt{16 + 36}$
$d = \sqrt{52}$
$d = \sqrt{52} = \sqrt{4}\sqrt{13}$
$d = \sqrt{52} = 2 \sqrt{13}$
$d = 2 \sqrt{13}$
$radius = 2 \sqrt{13} = 7.2111$

5 0

4 years ago

Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a

Flauer [41]

9514 1404 393

Answer:

C. 1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

a = 1/(4p)

p = 1/(4a) . . . . . . multiply by p/a; matches choice C

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

$p=\dfrac{1}{4a}$