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Alex787 [66]
4 years ago
7

2. The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
2 answers:
Gelneren [198K]4 years ago
8 0
Line up the shapes.
a.  2/8 = x/16

b.  12/4 = 18/x = y/8

c.  6/4=8/y=7/x

a.  Cross multiply. 8x = 2*16
8x = 32
divide both sides by 8
x = 4

b.  12/4 = 18/x
cross multiply
12x = 18*4
12x = 72
divide both sides by 12
x = 6

12/4 = y/8
cross multiply
4y = 12*8
4y = 96
divide both sides by 4
y = 24

c.  6/4 = 8/y
cross multiply
6y = 8*4
6y = 32
divide both sides by 6
y = 32/6 = 16/3

6/4 = 7/x
cross multiply
6x = 7*4
6x = 28
divide both sides by 6
x = 14/3
Olegator [25]4 years ago
4 0
I hope this helps you option C Y = 16/3

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What is the equation of the line that passes through the point (-1, -2) and is parallel to the line with equation -3x+y=4
Ivanshal [37]
Y = 3x + 1 
Parallel lines have the same slope so the slope would be 3. Take the given equation and add the 3x to the other side. Using the given point. -2 (y point) = 3(-1(x point)) + b. Solve for b by adding the 3 over. b = 1 which is your y intercept. 
4 0
3 years ago
In the diagram of PARALLELOGRAM ABCD, segment BE is perpendicular to segment CED, segment DF is perpendicular to BFC and segment
tiny-mole [99]

Answer:

In parallelogram ABCD

FD is perpendicular to BC

BE is perpendicular to CD

Consider triangle BEC and triangle DFC

FC = EC (Given)

Angle BEC = Angle DFC (=90°)

Angle BCE = Angle DCF (common)

Therefore triangle BEC is congruent to triangle DFC (AAS congruency)

DF = BE (CPCT)

Since the altitudes are equal their bases will also be equal

Therefore BC = DC

Therefore BC = DC = AD = AB

Therefore ABCD is a rhombus

Hope this helps!

Mark me as brainliest

3 0
3 years ago
Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
3 years ago
Read 2 more answers
Help me with this plase
MakcuM [25]

Answer:

I believe it is A because if you use the slope x it matches with the line.

3 0
2 years ago
Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?
Nikolay [14]
The inclusion/exclusion principle states that

|X\cup Y|=|X|+|Y|-|X\cap Y|

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, |X\cup Y| will have the most elements when the sets X and Y are disjoint, i.e. X\cap Y=\emptyset, which would mean the most we can can in this case would be

|X\cup Y|=|X|+|Y|=22+13=35

(Note that n(X)=|X| denotes the cardinality of the set X.)
3 0
4 years ago
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