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dexar [7]
1 year ago
9

Determine the measure of angle ACD

Mathematics
2 answers:
nlexa [21]1 year ago
6 0

Answer:

115°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

Following this information we can conclude the measure of angle ACD:

40 + 75 = 115

UNO [17]1 year ago
3 0

Answer:

ACD = 115

Step-by-step explanation:

The interior angles of a triangle have to add up to 180, so add 40 and 75 then subtract it from 180.That would cause angle ACB to be 65. Angle ACD and angle ACB have to add up to equal 180. 180-65= 115, so angle ACD = 115.

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Graham and Hunter are circus performers. A cable lifts Graham into the air at a constant speed of 1.5 ft/s. When Graham’s arms a
lidiya [134]

Answer: Hello there!

this type of equations in one dimension (when all the factors are constants) are written as:

h =  initial position +  initial velocity*t + (acceleration/2)*t^2

First, let's describe the hunter's equation:

We know that Graham moves with a velocity of 1.5 ft/s, and when he is  18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.

If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:

h = 18 + 1.5t

where t in seconds.

Now, the equation for the ball:

We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)

the equation for the ball is:

h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2

So the system is:

h = 18 + 1.5t

h = 5 +24t - 16.1t^2

so the right answer is A

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3 years ago
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The score on a trivia game is obtained by subtracting the number of incorrect answer from twice the number of correct answer. If
brilliants [131]

Answer:

The player answer correctly 30 questions

Step-by-step explanation:

First we have to develop the information that gives us as 2 equations

x = correct answer

y = incorrect answer

z = score = 40

h = total answer = 50

2x - y = z               x + y = h

2x - y = 40             x + y = 50

we clear the x of one equation and replace the value of x in the other equation

x = 50 - y

2x - y = 40

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-3y = 40 -100

y = -60/-3

y = 20

x = 50 - y

x = 50 - 20

x = 30

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3 years ago
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