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Dafna1 [17]
3 years ago
5

*20 points* (9th grade) Value of x please

Mathematics
2 answers:
Roman55 [17]3 years ago
6 0
X=20

First observe the triangle, look at how the two sides are congruent. With that you can realize that the bottom right angle (3x+7) is congruent I the bottom left, meaning the bottom left angle is also 3x+7.

Next you would want to add 5x+13 to 3x+7 which will equal 180 because the two angles are on the same line and a line is 180 degrees. The equation would look like this after adding all like terms together: 8x+20=180. Next subtract 20 from both sides which will then look like 8x=160. Next isolate x by dividing by 8 on both sides to get x=20
Delicious77 [7]3 years ago
3 0
Answer: x is 20

Because both angles together make up 180° you can simply rearrange the equation to get 8x+20=180 and by solving you can come to the conclusion x=20
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luda_lava [24]

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3 0
3 years ago
The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E
nexus9112 [7]

Answer:

The projected enrollment is \lim_{t \to \infty} E(t)=10,000

Step-by-step explanation:

Consider the provided projected rate.

E'(t) = 12000(t + 9)^{\frac{-3}{2}}

Integrate the above function.

E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt

E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c

2000=-\frac{24000}{3}+c

2000=-8000+c

c=10,000

Therefore, E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

Now we need to find \lim_{t \to \infty} E(t)

\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000

\lim_{t \to \infty} E(t)=10,000

Hence, the projected enrollment is \lim_{t \to \infty} E(t)=10,000

8 0
3 years ago
Simplify the expression:<br><br> –3(9 − x) =
steposvetlana [31]

Answer:

Expand  -3(9-x): -27 + 3x

Step-by-step explanation:

-3(9-x)

Apply the distributive law: a(b-c)=ab-ac

a = -3, b=9, c=x

=-3*9-(-3)x

Apply minus - plus rules:

-(-a)=a

= -3*9+3x

Multiply the numbers: 3 * 9 = 27

=-27+3x

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0
3 years ago
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PLS SOLVE AND EXPLAIN
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The answer to the question

6 0
3 years ago
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