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Lunna [17]
2 years ago
11

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.

So only one triangle possible with angle 21.9° at C

4 0
3 years ago
Read 2 more answers
What is the LCM of 8 and 10 is ______. Numerical Answers Expected! Answer for Blank 1​
kifflom [539]

Answer:

40

Step-by-step explanation:

4 0
2 years ago
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99 orders in 9 days =_____ orders per day
Aleks [24]

Answer:

11 orders per day

Explanation:

99 / 9 = 11

5 0
3 years ago
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