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2 years ago

Based on the measurements shown on triangle ABC , AB must be ?

Mathematics

1 answer:

Serggg [28]2 years ago

8 0

Answer:

10 ft.

Step-by-step explanation:

Because the length of AC is equal to AB, the length of AB must be congruent to the length of AC. Therefore, AB is 10 ft.

Hope this helps! Let me know!

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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times

prohojiy [21]

Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third. Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

2s + f = 168.

Let's eliminate s by subtracting the first of these two equations from the second. Doing so yields 5f = 180. Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132. Thus, the second angle is s = y = 66.

The sum of the three angles must be 180. Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

The three angles are

{36, 66, 78}.

3 0

3 years ago

Write 9.36( repeating) as a mixed number in simplest form.

Deffense [45]

Answer:

Step-by-step explanation:

9.36 is 9 9/25

3 0

2 years ago

Please help I’ll give brailiest

Scrat [10]

The total angle sum of a triangle is 180°
As such, 180= 78 + 2s +4s
102= 6s
s=17

3 0

2 years ago

Read 2 more answers

What is the perimeter of the figure? A. 144 cm B. 76 cm C. 74 cm D. 45 cm

tatiyna

76 cm would be your answer, so B.

8 0

2 years ago

Read 2 more answers

Find the dicontinuities of the function.

elena-s [515]

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

$f(x)=\frac{x^2+12x+27}{x^2+4x+3}$ because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

$f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}$ and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

5 0

3 years ago