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AveGali [126]
3 years ago
11

A triangle is such that the largest angle is 3 times the smallest angle. The third angle is 23 less than the largest angle. Find

the measure of each angle.
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

largest angle:  3x

smallest angle:  x

third angle:  3x - 23

The sum of the angles of a triangle equals 180°

(3x) + (x) + (3x -23) = 180

7x - 23 = 180

7x = 203

x = 29

largest angle:  3x  = 3(29)  = 87

third angle:  3x - 23   = 3(29) - 23   = 87 - 23   = 64

Answer: 29°, 64°, 87°

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Does the relation {(5,-2), (5,-8), (4,-6), (7,-1)} represent a function?
Sergio [31]

Answer:

no, it does not

Step-by-step explanation:

if it was a function, all the x values would've been different, but since 5 is repeated, it is not a function.

5 0
3 years ago
Answer this pls asap
irina [24]

Answer:

351.68 cm^2

Step-by-step explanation:

We need to find the area of the frame itself. the radius of the inner circle is 12, but the frame has a radius of 4. You add 12 and 4 and you get 16. The formula for area of a circle is A=πr^2. So A= 3.14 x16^2. Then you have A= 3.14x 256 and you get 803.84. But we only want the area of the frame, so you have to get the area of the inner circle and subtract. You get A= 3.14 x 12^2. 3.14x144 is 452.16. 803.84-452.16 is 351.68. Hope this helped. :)

3 0
3 years ago
Read 2 more answers
7
natulia [17]

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

3 0
3 years ago
Question 1(Multiple Choice Worth 4 points)
Anastaziya [24]
I don't think it's a proportional relationship because it doesn't go the origin...im not sure,Let me know
4 0
3 years ago
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What is the range of the given function?
asambeis [7]

Answer:

{y | y = –7, –1, 0, 9}

Choice B is correct

Step-by-step explanation:

The range of a function y = f(x) refers to the set of y - values for all values of x for which the function is real and defined.

The set of y values from the given table is;

–7, –1, 0, 9

Therefore, the range of the given function is;

{y | y = –7, –1, 0, 9}

8 0
4 years ago
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