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Ugo [173]
3 years ago
10

△1 is similar to △2. Which series of transformations can be used to transform △1 to △2?

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0
You can do it just believe in your self
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How do you substitute x+y=2 3x+2y=5
Monica [59]
Here's how you solve this.  So, x+y=2, right?  Let's isolate x.  x+y-y=2-y.  x=2-y.  NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y!  3x+2y=5.  3(2-y)+2y=5.  (3*2)+(3*-y)+2y=5.  6+(-3y)+2y=5.  6+(-y)=5.  6+(-y)-6=5-6.  -y=-1.  -y/-1=-1/-1.  y=1.

So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2.  x+1=2.  x+1-1=2-1.  x=1.  1+1=2, so that works; let's check the other equation.  3(1)+2(1)=5.  3+2=5.  5=5.  That's correct!

Answer: x=1, y=1
4 0
3 years ago
Read 2 more answers
Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.
wlad13 [49]

Answer:

(a) Total = 45000

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

Kofi =5/9

Yaw = 2/15

Musa = 14000

Solving (a): The cost of the business

First, we solve for the fraction of Musa

Musa + Kofi + Yaw = 1

Musa = 1 - (Kofi + Yaw )

Musa = 1 - (5/9 + 2/15)

Musa = 1 - (\frac{25+6}{45})

Musa = 1 - \frac{31}{45}

Musa = \frac{45 - 31}{45}

Musa = \frac{14}{45}

So, we have:

\frac{14}{45} * Total = 14000

Make Total the subject

Total = 14000 * \frac{45}{14}

Total = 1000 * 45

Total = 45000

Solving (b): Partners in ascending order

First, represent the fractions as decimals

Kofi =5/9 = 0.5556

Yaw = 2/15 = 0.1333

Musa = \frac{14}{45} = 0.3111

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0
3 years ago
Can anybody help me pleasee I don't understandd
o-na [289]
Hello there.

6(8 - 2y) = 4y

To solve for this, we need to apply the Distributive Property to the left side of the equation. This property allows us to multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

6(8 - 2y)
6(8) + 6(-2y)
48 - 12y

Now, let’s take a look at our equation.

-12y + 48 = 4y

To make things more simple, we’ll add 12y to both sides of the equation. This will cancel out -12y on the left side of the equation and will turn 4y on the right side of the equation into 16y.

Our new equation is:

16y = 48

Now all we need to do is divide both sides by 16 to solve for y.

16y / 16 = y
48 / 16 = 3

Our final answer and solution is:

Y = 3

I hope this helps!
4 0
3 years ago
In the graph below, Point A represents Owen's house, Point B represents David's house and Point C represents the school. Who liv
ycow [4]

Answer:

• David

,

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

,

• David's House, B(15,13)

,

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Owen's distance from school (AC)

\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}

David's distance from school (BC)

\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

5 0
1 year ago
What is the answer for <br> three fourths x equals nine
Dmitry [639]

Answer:

x=12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
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