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saw5 [17]
3 years ago
5

2x-3y=-1+3x+3y=26 add the equations

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0
The answer should be X+6y=27
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For which value(s) of x are the triangles congruent?​
Varvara68 [4.7K]

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

8 0
2 years ago
Horizontal cross section of a cylinder
Eddi Din [679]
The cross section is 10 ft by 15 ft
5 0
3 years ago
Read 2 more answers
The lowest elevation in Long Beach, California, is 7 ¾ feet below sea level. The elevation of Death Valley is about 40 times low
FinnZ [79.3K]

Answer:

The elevation of Death Valley = 31/160 feet

Step-by-step explanation: Since

The lowest elevation in Long Beach, California, is 7 ¾ feet 

Let say L = 7 ¾ feet 

The elevation of Death Valley is about 40 times lower than the elevation of Long Beach

That is D = 1/40 of L

D = 1/40 × 31/4

D = 31/160 feet

The elevation of Death Valley is 31/160 feet

3 0
3 years ago
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
padilas [110]

assuming simple interest rate.

\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &1 \end{cases} \\\\\\ A=300[1+(0.06)(1)]\implies A=300(1.06)\implies A=318

4 0
3 years ago
You can click and drag an icon on a computer screen. Is this an example of a translation?
umka2103 [35]
Yes. Translation is taking an object and sliding it across something. :)
8 0
3 years ago
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