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vlada-n [284]
3 years ago
10

A. 65 B. 30 C. 10 D. 50

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

Alex Ar [27]3 years ago
3 0

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

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3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.
umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

7 0
2 years ago
A survey showed that 4 out of 5 students own a bicycle. Based on this result, how many of the 800 students in a school own a bic
Stella [2.4K]

Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

4 0
3 years ago
Read 2 more answers
ou find a clue wrapped around a Toblerone bar. The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm
qwelly [4]

Answer:

54 cubic inches?

Step-by-step explanation:

7 0
3 years ago
You count customers going into the 5 pizza shops in your city. You get 56, 98, 43, 112, and 106. What is the median number of cu
tigry1 [53]

Answer:

Median = 98

Step-by-step explanation:

Organize the numbers in order from least to greatest: 43,56,98,106,112.

Than begin crossing the numbers out

56,98,106

98

8 0
4 years ago
Sara made a scale model of the Eiffel Tower in France. The actual height of the tower is 1063 feet. Sara's model used a scale in
Ipatiy [6.2K]

Answer:

Look for the bolded words ;'D

Step-by-step explanation:

The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...

....lol sorry for taking so long, but have a good day! :'D

8 0
3 years ago
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