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2 years ago

b) What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning. (2 points)

Mathematics

1 answer:

kykrilka [37]2 years ago

3 0

120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle

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Help pls!

4vir4ik [10]

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

3 0

2 years ago

Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born

posledela

A+b+c=5982
find the average of the three friends
5982/3=1994
add and subtract one to find the average
1994+1=1995
1994-1=1993
add all the years together to check
1993+1994+1995=5983

3 0

2 years ago

25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc

sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{960-480}{2-1}$

= 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0

2 years ago

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1