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Burka [1]
2 years ago
7

How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.

Mathematics
1 answer:
stich3 [128]2 years ago
3 0

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula \displaystyle nCr=\frac{n!}{r!(n-r)!} which describes the number of ways we can choose r objects given n possible choices. So, if n=7 and r=4, then:

_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35

Hence, the teacher can make 35 different geometry quizzes.

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1.
tankabanditka [31]

Answer:

Congruent

Vertical

Step-by-step explanation:

E and G are vertical angles and vertical angles are equal

They are congruent because they are vertical

5 0
3 years ago
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equat
denpristay [2]

Answer:

  • x = 65, y = 25

Step-by-step explanation:

<u>Given system of linear equations:</u>

  • x + y = 90
  • 2x - y = 105

<u>Add up the equations to eliminate y:</u>

  • x + 2x = 90 + 105
  • 3x = 195
  • x = 65

<u>Find y:</u>

  • y + 65 = 90
  • y = 90 - 65
  • y = 25
4 0
2 years ago
Read 2 more answers
Please I need help ASAP!!!
lesantik [10]

Answer:

First answer.

Step-by-step explanation:

This is called the Arc length, here is the formula:

Arc length = (angle/360)*(2Pi*radius)

So,

(45/360)*(2*3.14*4)

= 3.14

SO Pi !!!!!

4 0
3 years ago
Complete the solution of the equation. Find the
weeeeeb [17]

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

7 0
3 years ago
Read 2 more answers
Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
Sloan [31]
Answer:
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)
6 0
2 years ago
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