MATHEMATICS HIGH SCHOOL

A quadrilateral PQRS is inscribed in a circle, as shown below: A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 80 degrees. What is the measure of arc PQR?

Answers

Answer 1
Answer:

Answer:

200 :3

Step-by-step explanation:
Answer 2
Answer:

Explanation:

As the song Don't Stop Me Now by Queen says, "200 degrees, that's why they call me Mister Fahrenheit"

Answer:

B) 200 degrees.

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The quadratic equation (3k-2)x^2 +12x+3(k+1) =0 has equal roots. Find the two possible values of k.

Answers

x_1=x_2 \Rightarrow \Delta=0\n\Delta=12^2-4\cdot(3k-2)\cdot3(k+1)\n\Delta=144-(36k-24)(k+1)\n\Delta=144-36k^2-36k+24k+24\n\Delta=-36k^2-12k+168\n-36k^2-12k+168=0\n-3k^2-k+14=0\n-3k^2+6k-7k+14=0\n-3k(k-2)-7(k-2)=0\n-(3k+7)(k-2)=0\nk=-(7)/(3) \vee k=2

Dena's softball team can win (W) or lose (L) each game. Which of the following are elements in the sample space for 2 softball games?

Answers

In a softball game, the odds are only win or lose the game. When 2 games are already being considered, the elements in the sample space are already 2 in each set. The sets are {W,W}, {W,L}, {L,W} and {L,L}.  Hence, there are 4 sets all in all to describe the odds of the two games.

Use linear combination. To solve system
-2x+7y=10
X-3y=-3

Answers

-2x + 7y = 10 ⇒ -2x + 7y = 10
   x - 3y = -3   ⇒ -2x + 6y = 6 
                                      y = 4
                         -2x + 7(4) = 10
                           -2x + 28 = 10
                                   -28   -28
                                   -2x = -18
                                    -2      -2
                                       x = 9
                                  (x, y) = (9, 4)
so
use elimintation
multily second equation by 2
2x-6y=-6
add to first equation

2x-2x+7y-6y=10-6
y=4
subsitute
x-3(4)=-3
x-12=-3
add 12 to both sdies
x=9


x=9
y=4

A video game sells at Arnolds for $14.99. Arnolds marks the game up at 40% of the selling price. The cost of the video game to Arnold is:

Answers

what you do is take 14.99 x 0.40 and that should give you your answer 

A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?


A.17.0 feet

B.12.7 feet

C.7.0 feet

D.1.9 feet

Answers

The answer would be B)12.7 feet

Ms. Leong owned an ice cream store and had chocolate and vanilla ice cream for sale. She sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. If she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, how many scoops of ice cream did Ms. Leong have altogether at first?

Answers

Answer: 140 scoops.

Step-by-step explanation:

We know that she sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. She originally had 20 scoops of chocolate and 30 of vanilla left.

so those 20 scoops of chocolate are 1/4 of the total amount that she had before, then the total amount is equal to 4 times 20 scoops = 80 scoops of chocolate.

We also know that 30 scoops of vanilla are one half of the initial number, so the initial number must be equal to two times 30 scoops = 60 scoops.

Now, adding those numbers we have 60 + 80 = 140 scoops in total at the beginning of the day.
The answer is 140 scoops of ice cream total .
Other Questions
9ones 2thousandths - 3ones
Standard form -2.56 x 10 ^3
Need some help doing this question, thanks!
What's this answer???