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podryga [215]
3 years ago
5

If A ⊂ B, then A ∩ B = A ∪ B. always sometimes never

Mathematics
1 answer:
masha68 [24]3 years ago
5 0
So in plain English it's saying if A Is an element of B, then A and B equals A or B. This is true sometimes
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HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
Each vertical cross-section of the triangular
Blizzard [7]

Answer:

The vertical height is h=3\ units

Step-by-step explanation:

we know that

In the right triangle ABC

see the attached figure

To find the height h apply the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=AB=3\sqrt{2}\ units

a=BC=6/2=3\ units

b=AC=h\ units

substitute

(3\sqrt{2})^{2}=3^{2}+h^{2}

18=9+h^{2}

h^{2}=18-9=9

h=3\ units

3 0
3 years ago
Read 2 more answers
The sum of seven interior angle measurements in an octagon equal 835º. What is the angle measurement of the 8th angle? (Hint: An
mart [117]

Answer: 104.375 (104 if you need it rounded)

Step-by-step explanation: So the question here is only asking for one angle, so you take the sum of all of the angles (835) and divide it by the total amount of sides (8). and you have your answer.

7 0
3 years ago
Read 2 more answers
Sorry i'm the most non-smart person on the planet someone help me please! PLease show work.
Tpy6a [65]

Answer:

25

Step-by-step explanation:

The whole straight line is 180 And the angles are adjacent.

180-125 which equals 55

trying to find X so subtract 30

55-30=25

5 0
3 years ago
What is the slope of the line?<br> m =
monitta

Answer:

m=0.25

Step-by-step explanation:

m = (y_2-y_1)/ (x_2-x_1)

Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)

m = (1-2)/(0-4) = 1/4 or 0.25

8 0
3 years ago
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