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Lerok [7]
3 years ago
5

Does x=5 satisfy 3(x+1)=3x+3

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Well let's solve it!

In order to solve this, plug in x into the equation.

Let's do the side on the LEFT of the equal sign first.

3(3+1) = 3(4) = 12

Now Let's do the side on the RIGHT of the equal sign.

3(3) + 3 = 9+3 = 12

So this means they are equal or congruent!


Hope this Helped!

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What is one possible solution for the triangle below?
elixir [45]
Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

\frac{sinZ}{43} = \frac{sin68}{40}

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°


3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

\frac{x}{sin(26.64)} = \frac{40}{sin(68)}

From which: x = 40 × sin(26.64°) /  sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
5 0
2 years ago
Read 2 more answers
The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
Mn proof shows that ZDEH ZFEG in the attached diagram, but it is incomplete.
Katyanochek1 [597]
Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize that in this reality only pain, suffering and futility exist.- Madara Uchiha

3 0
2 years ago
Read 2 more answers
PLEASE HELP
Kitty [74]

Answer:

542.50

Step-by-step explanation:

Given:

Least square regression equation :

y = 102.50 + 0.65x + residual

y = predicted fare

x = distance in miles

Intercept = 102.50

Slope = 0.65

Distance in miles, x = 500 miles

y = 102.50 + 0.65(500) + 115

y = 102.50 + 325 + 115

y = 427.5 + 115

y = 542.50

6 0
2 years ago
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Bo is buying a board game that usually costs B dollars. The game is on sale, and the price has been reduced by 18%.
Paladinen [302]

Answer:

The answer is E.

Step-by-step explanation:

If the game costs $10 originally then the following would be true:

B = $10


$10.00 x .18 = $1.80  so the discount is $1.80


10.00 - 1.80 = $8.20


6 0
3 years ago
Read 2 more answers
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