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Phantasy [73]
3 years ago
8

OT−→− bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

64

Step-by-step explanation:

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german

Answer:

Car number 2 has a slope of exactly 2 while Car number one has a slope of 2.3 because it is not exactly on the 2 point line. Car 2 is steeper and Car two has better fuel efficiency


Hope this helps! <3



7 0
3 years ago
Find the measures of the exterior angles of the polygon.
Len [333]

Step-by-step explanation:

180 - 34 = 146

one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124

divide that by two to get the measures of the remaining two angles (62 degrees)

180 - 62 = x

118 = x

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At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.
maxonik [38]

Answer:

  • Grayson had 10 inches of snow in his lawn
  • the snow falls at a constant rate of 0.5 inches per hour
  • no snow was melting
  • the snow has fallen for 3 hours  

Let y be the height of the snow in the lawn

Grayson had 10 inches at the beginning (at t=0) so y= 10

3 hours passed so y= 10 + 3*0.5 = 11.5 inches

Grayson had 11.5 inches after three hours

Assuming that the snow continued to fall for an unkhown time t

y = 0.5*t + 10

we had 10 at the beginning so we add 10 (+10)

the snow is growing by 0.5 inches in the single hour so we multiply by 0.5

t is the time and it can 4, 5, 6 ...... hours

Just like a function :

  • 0.5 is the slope
  • t is the variable
  • 10 is the y-intercept

3 0
3 years ago
Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
Paul [167]

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.

4 0
3 years ago
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