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2 years ago

Need help, please. In a triangle find x

Mathematics

1 answer:

saul85 [17]2 years ago

3 0

Triangles add up to 180. So add up the two angles given, and subtract that from 180. That will be x!

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown e

Tresset [83]

Answer:

(6, -17)

Step-by-step explanation:

Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:

The midpoint formula is given as $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ .

Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.

Let the other endpoint be $(x_1, y_1)$

Midpoint = M(5, -12)

Let the given endpoint = $(4, -7) = (x_2, y_2)$

Thus:

$M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2})$

Rewrite the equation to find the coordinates of the other endpoints

$5 = \frac{x_1 + 4}{2}$ and $-12 = \frac{y_1 - 7}{2}$

Solve for each:

$5 = \frac{x_1 + 4}{2}$

$5*2 = \frac{x_1 + 4}{2}*2$

$10 = x_1 + 4$

$10 - 4 = x_1 + 4 - 4$

$6 = x_1$

$x_1 = 6$

$-12 = \frac{y_1 - 7}{2}$

$-12*2 = \frac{y_1 - 7}{2}*2$

$-24 = y_1 - 7$

$-24 + 7 = y_1 - 7 + 7$

$-17 = y_1$

$y_1 = -17$

Ordered pair of the other endpoint is (6, -17)

3 0

3 years ago

In a circle of radius 4 miles, the length of the arc that subtends a central angle of 2 radians is

GaryK [48]

We are tasked to solve for the length of the arc of a circle given a radius of around 4 miles and a central angle that subtends the arc 2 radians. In order to solve for this, we need to use the length of the arc formula given,

s=rΘ

Where r is the radius and Θ is the subtended central angle given in radians
Simply substituting the given in the formula, we get,
s=4mi(2 rad)= 8 miles

Thus, the answer to the question above is 8 miles.

7 0

2 years ago

Trig please help

nignag [31]

Answer:

One

Step-by-step explanation:

9/sin(34) = 6/sinC

sinC = 0.372795269

C = 21.9, 158.1

Since 158.1+34 = 192.1 > 180

It will not form a triangle.