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elena-14-01-66 [18.8K]
3 years ago
12

help with geometry please, i set up the equation like 5x+9=3x+11 and got 1 but that's not the right answer

Mathematics
1 answer:
Ugo [173]3 years ago
8 0
So, you put the values on the other sides of the vertical angles, so you get a set of interior angles (can't remeber word at the moment)
Make the angles equal to 180.
So equation looks like 3x+11+5x+9=180.
Now combine like terms, get 8x+20=180.
Subtract 20 from both sides and get 8x=160.
Divde both sides by 8 and get your answer of x= 20
Hope this helps
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satela [25.4K]

Answer:

\large\boxed{2a+14}

Step-by-step explanation:

4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14

5 0
3 years ago
A recipe calls for 1/3 cup of grated Parmesan cheese for 8 servings of spaghetti sauce. How many servings can be made with 2 cup
Darya [45]
You can make 48 servings with 2 cups of Parmesan cheese
4 0
4 years ago
Identify each coefficient <br> 1. 8x___
masha68 [24]
8 would be the coefficient :)
5 0
3 years ago
At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel
Alexeev081 [22]
Use Law of Cooling:
T(t) = (T_0 - T_A)e^{-kt} +T_A
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
42 = (80-20)e^{-3k} +20 \\  \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\  \\ k = -\frac{1}{3} ln (\frac{11}{30})

Substituting k back into cooling equation gives:
T(t) = 60(\frac{11}{30})^{t/3} + 20

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\  \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80
Solve for x:
x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80
Sub back into original cooling equation, x = T(t)
-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20
Solve for t:
60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3}  = 60 \\  \\  (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\  \\  \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\  \\ \\  t = 4.959

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
8 0
3 years ago
Someone please help with this asap!! I will mark brainliest if it's right! Serious answers only !!!
Arlecino [84]

Answer:

1) given

2) given

3) definition of vertical angles

4) AAS

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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