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4 years ago

Which postulate can be used to prove that the two triangles below are Congruent?

Mathematics

2 answers:

Eddi Din [679]4 years ago

8 0

A
angle vtu is congruent to rts and the rest is given

maks197457 [2]4 years ago

5 0

Answer:

B. SAA (Side-Angle-Angle)

Step-by-step explanation:

In the diagram given, the horizontal sides of the two triangles are equal. Also, by the principle of opposite angles,

< RTS = < QTV

The two angles are equal.

Furthermore, the sum of angles in a triangle is $180^{0}$ , so the third angle can be determined since

< RST = < VQT = $90^{0}$

Thus the two triangles are congruent due to side - angle- angle.

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Your laptop died and you need a new one for work Now! The one you need will cost $500. You do not have the cash in your checking

docker41 [41]

Answer:

2 years

Step-by-step explanation:

If you have $9000 in the saving account, and you take $500, you are left with:

$9000 - $500 = $8500

in one year you will have 3% more of the 8500 which is:

8500/100*3 = $255

so in one year the number on your savings account is:

8500 + 255 = $8755

and by the next year you will have 3% more of the 8755 which is:

8755/100*3 = $262.65

so in two years the number on your savings account is:

8755 + 262.65 = $9017.65

which is a little bit more than the $9000.

so it will take 2 years until the calance again reaches $9000

4 0

3 years ago

Solve the following system of equations by the substitution method.

Masja [62]

Let

Eqn 1 be 8x = 2y + 5

And,

3x = y + 7
therefore

Eqn 2 is x= 1/3(y+7)

Sub 2 into 1 gives:

8(1/3(y+7)) = 2y + 5

8/3(y) + 56/3 = 2y + 5

2/3(y) = –41/3
2y=–41
y= –41/2

X= –9/2.

Therefore, {(-9/2, -41/2)} is your solution set. As the notation is equal to (x,y)

6 0

3 years ago

Read 2 more answers

Help me math whoever is goood

Natasha_Volkova [10]

The conversion is 9*9=81
The conversion is true

7 0

3 years ago

What is the equation in vertex

jok3333 [9.3K]

$\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{ope ns~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{vertex}}{(3,-2)}~~ \begin{cases} h = 3\\ k = -2 \end{cases}\implies y=a(x-3)^2-2 \\\\\\ \stackrel{\textit{passes through}}{(5,-1)}~~ \begin{cases} x=5\\ y= -1 \end{cases}\implies -1=a(5-3)^2-2\implies 1=a(2)^2 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hfill \boxed{y=\cfrac{1}{4}(x-3)^2-2}$

5 0

3 years ago

Read 2 more answers

. What is 112,252 rounded to the nearest ten thousand?

nika2105 [10]

Answer:

110,000

Step-by-step explanation:

8 0

3 years ago

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