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3 years ago

Use the clues in the sentences to determine the best meaning for each bolded word

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

What are the bolded words?

Mama L [17]3 years ago

3 0

just asking which words are bold?

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Whats the answer? <br> and how did I get my answer?

Kamila [148]

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

7 0

2 years ago

What is the value of x in this diagram?<br><br><br> Please help

marshall27 [118]

Answer: x=75

Explanation:
x+10+x+20=180
combine like terms
2x+30=180
subtract 30 from each side
2x=150
divide each side by 2
x=75

7 0

2 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

Points A, B, and C are collinear and A is between B and C.

olganol [36]

The answer is AB (45)

6 0

2 years ago

Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23.65. How many

qwelly [4]

Answer:

$354

Step-by-step explanation:

first we need to find out how much 1 lb of can is then we can multiply that by 200 to get the answer.

so I divided 43 by 23.65 and got 1.81818181

i'll round that to $1.82 so that equals 1 lb of a can

multiply that by 200

the answer is $354

4 0

2 years ago