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yaroslaw [1]
3 years ago
8

Find the value of x that will make A||B. A B 4x (3x + 10 X = [?] Enter

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0
<h3 /><h3>4x = 3x + 10[ Adjacent angle]</h3><h3>4x = 3x  + 10 \\ 4x - 3x = 10 \\ x = 10</h3>

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em><em> ❤️</em><em>✌ </em>

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There are three clubs at Redwood High School: Debate, Student council, and Key club. There are 1000 students in the school. And
hram777 [196]

Answer:

The number of students in the key club is 490

Step-by-step explanation:

The given parameters are;

The number of student in the school = 1000

The total number of student in the debate club = 310

The total number of student in the student council = 650

The total number of student who are in debate and student council = 170

The total number of student who are in both debate and the key club = 150

The total number of student who are in both student council and the key club = 180

The number of students who are in all three clubs = 50

Therefore, we have;

Let A represent the number of students in the debate club

Let B represent the number of students in the student council

Let C represent the number of students in the key club

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C)

Where;

n(A∪B∪C) = 1000

n(A) = 310

n(B) = 650

n(A∩B) = 170

n(B∩C) = 180

n(C∩A) = 150

n(A∩B∩C) = 50

Therefore;

n(C) = n(A∪B∪C) - (n(A) + n(B) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C))

Substituting the values gives;

n(C) = 1000 - (310 + 650 -  170 - 180 - 150 + 50) = 490

The number of students in the key club, n(C) = 490.

5 0
3 years ago
Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .
Bond [772]

Answer:

  • check below for explanation.

explanation:

➢ Given coordinates:

  • A( 1, 3 )
  • B( 1, 6 )
  • C( 4, 6 )
  • D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

  • A( 1, 3 )  ÷  2    ☛   A'(0.5,1.5)  
  • B(1, 6 )   ÷  2    ☛   B'(0.5, 3)
  • C( 4, 6)  ÷  2    ☛  C'( 2, 3 )
  • D( 5, 2)  ÷  2    ☛  D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

  • check the image below:

5 0
2 years ago
What is this for 2nd grade math. 247+?=673
icang [17]

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

7 0
2 years ago
Which is the measure of the reference angle for 227 degrees ?
Levart [38]

Answer:

  C.  47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

  227° -180° = 47°

The reference angle is 47°.

_____

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

  227° modulo 180° = 47°

  180° -47° = 133° . . . . supplement of 47°

  min(47°, 133°) = 47° . . . the reference angle

8 0
2 years ago
Which expression can be used to find the value of expression below -(7/10) + 2/8 + 1/10 - (4/8)
maks197457 [2]

Answer:

(-17)/20

Step-by-step explanation:

Simplify the following:

-7/10 + 2/8 + 1/10 - 4/8

The gcd of 2 and 8 is 2, so 2/8 = (2×1)/(2×4) = 2/2×1/4 = 1/4:

-7/10 + 1/4 + 1/10 - 4/8

The gcd of -4 and 8 is 4, so (-4)/8 = (4 (-1))/(4×2) = 4/4×(-1)/2 = (-1)/2:

-7/10 + 1/4 + 1/10 + -1/2

Put -7/10 + 1/4 + 1/10 - 1/2 over the common denominator 20. -7/10 + 1/4 + 1/10 - 1/2 = (2 (-7))/20 + 5/20 + 2/20 - 10/20:

(2 (-7))/20 + 5/20 + 2/20 - 10/20

2 (-7) = -14:

(-14)/20 + 5/20 + 2/20 - 10/20

-14/20 + 5/20 + 2/20 - 10/20 = (-14 + 5 + 2 - 10)/20:

(-14 + 5 + 2 - 10)/20

-14 + 5 + 2 - 10 = (5 + 2) - (14 + 10):

((5 + 2) - (14 + 10))/20

5 + 2 = 7:

(7 - (14 + 10))/20

| 1 | 4

+ | 1 | 0

| 2 | 4:

(7 - 24)/20

7 - 24 = -(24 - 7):

(-(24 - 7))/20

| 1 | 14

| 2 | 4

- | | 7

| 1 | 7:

Answer: (-17)/20

4 0
3 years ago
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