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saw5 [17]
3 years ago
7

I want the answer and way to do this problem.

Mathematics
1 answer:
user100 [1]3 years ago
8 0

∠ABC = ∠CDA (given)

∠BCA = ∠DAC (given)

CA = AC (common side)

ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.

Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.

Therefore, △ABC ≅ △CDA under the ASA congruence criterion.

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Check the picture below.

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A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?​
andreev551 [17]

200 times / 3 minutes = x times / 60 minutes

3x = 12000

x = 4000 times in an hour

A person's heart will beat 4000 times in an hour.

Hope this helps!! :)

6 0
2 years ago
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A grocer has 2 types of tea, one for sells for $8.00 per pound and the other for $6.00. How many pounds of each kind must he use
fiasKO [112]
Equation::
value + value = value
80x + 60(50-x) = 74*50
----
80x + 60*50 - 60x = 74*50
----
20x = 14*50
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50-x = 15 lbs (amt. of 60 cent tean to use)
6 0
2 years ago
You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly paymen
VikaD [51]

\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}

__________________________________________

\large\sf{\underline{Given:}}

  • ➠ Principal = $ 35000
  • ➠ Rate of interest = 3%
  • ➠ Time = 3 yrs (36 months)

\large\sf{\underline{Therefore:}}

‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow 3150}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}} ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

6 0
2 years ago
What is the inverse of the function f(x)= 2x+1​
Sergeu [11.5K]

In order to invert a function, switch y and x in the definition, and solve for y again:

y=2x+1 \mapsto x=2y+1

Solving for y, we have

x=2y+1\iff x-1=2y \iff y=\dfrac{x-1}{2}

8 0
3 years ago
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