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matrenka [14]
3 years ago
12

Two angles of a triangle have the same measure and the third one is 12 degrees greater than the measure of each of the other two

. Find the measure of the LARGEST angle in the triangle.nah
Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:

68

Step-by-step explanation:

Let x be the measure of one of the angles of the triangle

Two of the angles have the same measure, so another angle is x

The third is 12 degrees more, x+12

The sum of the three angles of a triangle is 180

x+x+x+12 = 180

Combine like terms

3x+12 = 180

Subtract 12 from each side

3x+12-12 = 180-12

3x = 168

Divide by 3

3x/3 = 168/3

x = 56

x=56

x=56

x+12 = 56+12 = 68

The largest angle is 68

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x^2 + 10x + 25 = -11 + 25
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x = -5 (+-) 3.74

x = -5 + 3.74 = -1.26 <== solution
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7 0
3 years ago
The distance Train A travels is represented by d = 67t, where d is the distance in kilometers and t is the time in hours. The di
Thepotemich [5.8K]

Answer:

Train A's unit rate is 67 km per hour.

Train B's unit rate is 75 km per hour.

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Step-by-step explanation:

Train A

Distance traveled by Train A is represented by :

d=67t

where d represents distance traveled in kilometers and t is the time in hours.

To find the unit rate of Train A, we will plugin t=1 and get the distance traveled by Train A in 1 hour which will be the unit rate of Train A in km/hr.

d=67(1)

d=67

So, distance traveled by Train A in 1 hour = 67 km

∴ Train A's unit rate is 67 km per hour.

Train B

For Train B, we are given the table for the time in hours and distance traveled in that duration.

Taking time =2 hours the distance traveled by Train B= 75 km

To find distance traveled in 1 hour we apply unitary method.

2\ hr = 150\ km

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So, distance traveled by Train B in 1 hour = 75 km

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On comparing their unit rate i.e. the speed of the trains we find out that Train B is faster than Train A by 8 km/hr

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3 years ago
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Step-by-step explanation:

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Yuki888 [10]

Answer:

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Step-by-step explanation:

A. She divided the coefficients incorrectly.

B. She added the exponents instead of subtracting them.

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