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Oxana [17]
2 years ago
6

Why is angle 1 congruent with angle C In the diagram?

Mathematics
1 answer:
galben [10]2 years ago
8 0
Answer: They are vertical angles.

you are correct!
i had this lesson a few days ago
vertical angles are congruent
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Andreas93 [3]
-15+2 means you add 2 to the negative number 15 so -15+2 will give us -13 which is the answer.
5 0
2 years ago
Help, I need to figure this out. ​
postnew [5]
Your answer would be 45 and 1/3
6 0
2 years ago
Read 2 more answers
PLEASE HELPP ♥
kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

4 0
3 years ago
George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart & y quarts at $2.00 per quart. Find x & y if the t
PolarNik [594]

Answer:

3x + 2y = 16

x = 2 , y = 5

Step-by-step explanation:

Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00

Considering the total cost

3x + 2y = 16

For the cost of each

x + y = 7

solving the 2 equations simultaneously be substitution

x = 7 - y

3(7 - y) + 2y = 16

21 - 3y + 2y = 16

-3y + 2y = 16 - 21

-y = - 5

Divide both sides by -1

y = 5

x = 7 -y

x = 7 - 5

= 2

7 0
2 years ago
What number is 22% of 320? <br><br>        A. 7040   B. 70.4   C. 704   D. 7.04
Olegator [25]
22% of 320 = n
22% × 320 = n
0.22 × 320 = n
(22% = \frac{22}{100} = 0.22)
70.4 = n 

22% of 320 = 70.5

Answer is B. 70.4
5 0
3 years ago
Read 2 more answers
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