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Wewaii [24]
2 years ago
11

Assuming these triangles are similar,solve for x.

Mathematics
2 answers:
alexgriva [62]2 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

40/16 = 2.5 scale factor that it's being enlarged by. So, 16 x 2.5 =40

45/2.5 = 18

2x + 4 = 18

- 4 both side

2x = 14

÷2 both side

x = 7

UNO [17]2 years ago
3 0

Answer:

<h2>x=7</h2>

Step-by-step explanation:

all the difference between these polygons is that the left one is 2.5x bigger than the one on the right (I found this out by doing 40/16 which is 2.5)

so now I need to divide 45 by 2.5

45/2.5=18

Now I know that

2x+4=18

-4 from both sides

2x=14

divide by 2

x=7

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antoniya [11.8K]

Answer:12 5/8

Step-by-step explanation:

Add the whole numbers together. 3 + 9 = 12

Multiply 1/4 so that it will have the same dnominator as 3/8. 2(1/4)= 2/8

Add the fractions together. 2/8 + 3/8 = 5/8.

Add the whole number and fraction to get a mixed number. 12 + 5/8 = 12 5/8

5 0
3 years ago
If the null space of A4×5 is exactly a two-dimensional plane, answer the following:
Hatshy [7]

Answer:

I.

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

V.

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

8 0
3 years ago
If A and B are independent events, P(A and B) =​
Sergio039 [100]

Answer:

<u>If A and B are independent events, P(A and B) =​ P (A) * P (B)</u>

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.  

Event A : it rains in Seattle

Event B : the Super Bowl match is cancelled in Miami

The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

<u>P(A and B) =​ P (A) * P (B)</u>

4 0
3 years ago
What is an equation of the line, in point slope for, that passes though the given point and has the given slope? point:(7,3);slo
Airida [17]

Answer:

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Step-by-step explanation:

To find this, start with the base form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the two coordinates in for (x1, y1).

y - 3 = 4/7(x - 7)

7 0
3 years ago
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How to do quadratics
larisa [96]
First, put your polynomial in standard form(ax²+bx+c=0). Then plug the a,b and c for x=(-b+-√b²-4ac)÷2a. As a result, you can either get one, two or no real answers.
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3 years ago
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