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Pepsi [2]
1 year ago
10

Help asap please geometry

Mathematics
1 answer:
Natali5045456 [20]1 year ago
6 0
<h2>Answer:</h2>

20. \angle3

21. \angle F

22. \angle BHF

<h2>Additional information:</h2>

Vertical angle means opposite angles.

  • It states that If two lines intersect each other, then the vertically opposite angles are equal.

For eg :- In this diagram,

\angle1 =  \angle3

\angle4=  \angle6

Linear pair means to form 180°.

  • It states that the two axioms above together is called the Linear Pair Axiom.
  • If the sum of two adjacent angles is 180°, if non-common arms of the angles form a line.

For eg :- In this diagram,

\angle1  +   \angle2 = 180 \degree

\angle4 +   \angle5= 180 \degree

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Mathematics, 17.03.2021 23:50 burners
atroni [7]

9514 1404 393

Answer:

  1. 10 study all three
  2. 8 study only math and chem

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

  • once -- those who study only one subject
  • twice -- those who study exactly two subjects
  • three times -- those who study all three subject.

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  \left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right]

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

3 0
3 years ago
Slope-intercept inequality for the graph, I have no idea how to do this
nignag [31]
Slope intercept inequality is in the form mx+b m standing for slope and b standing for y intercept
m= 4/3
b= -2 line passes (0,-2)

use y2-y1/x2-x1
(3,2)(-3,-6)
-6-2/-3-3
-8/-6
4/3 = slope
Let's set it up
y_ 4/3x-2
now the shaded area is on the LEFT side so this means that THE X has to be less than
The line is dashed which means it is not equal to!!
y >4/3x-2
plug in any (x,y) from the shaded area and see if this inequality is true
(-1,1)
1 >4/3 (-1)-2
1 >-4/3-2
1 >-4/3-6/3
1 >-10/3
8 0
3 years ago
Solve for ∅<br> 2tan∅=10.25​
Vikki [24]

Step-by-step explanation:

2tan∅=10.25

Tan∅= 10.25/2

∅= 78.95

5 0
2 years ago
How many magazines at most can the company print daily,
Dvinal [7]

Answer:

The most they can print is 800

Step-by-step explanation:

.5 N + 2.5M ≤ 6000

We are given N = 8000

Substitute this into the inequality

.5 (8000) + 2.5M ≤ 6000

4000 +2.5M≤ 6000

Subtract 4000 from each side

4000-4000 +2.5M≤ 6000 -4000

2.5M≤ 2000

Divide each side by 2.5

2.5M/2.5≤ 2000/2.5

M ≤800

6 0
3 years ago
Find the value of 5+9/3
Sholpan [36]

8

note that \frac{9}{3} simplifies to 3, hence expression can be written as

5 + 3 = 8


4 0
3 years ago
Read 2 more answers
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