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Ann [662]
3 years ago
7

What is the value of m

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

m = 10

Step-by-step explanation:

  • From the image given, we can tell that there are two sides for angle H for the segment IJ.
  • From that we can see that angle H is a supplementary angle. A supplementary angle is an angle whose sum is 180°
  • So:
  1. (2m+10)°+(5m+100)° = 180°
  2. (7m+110)° = 180°
  3. (7m)° = 70
  4. m = 10
harina [27]3 years ago
4 0
10 you’re welcome :)
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Need help asap plz geometry
Luden [163]

Answer:

answer is down

Step-by-step explanation:

4) S and Z

5) A line that goes vertical and then goes to the right

see this:

                                              ---------------

                                           /

                                         /

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7 0
3 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
If Josh has 3 pencils and loses 1. How many does he have left
klio [65]

Answer: 2

Step-by-step explanation:

It is like you a=have 3 pencils and you give 1 to your friend how many will you have?

subtract 1 from 3

3-1=2

6 0
3 years ago
Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
Please help with right answers xoxo
ludmilkaskok [199]
Y = 3x - 4

y = 3(-1) - 4
y = -3 - 4 = -7
Graph pair is (-1, -7)

y = 3(0) - 4
y = 0 - 4 = -4
Graph pair is (0, -4)

y = 3(2) - 4
y = 6 - 4 = 2
Graph pair is (2, 2)

y = 3(4) - 4
y = 12 - 4 = 8
Graph pair is (4, 8)
6 0
3 years ago
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