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Keith_Richards [23]
2 years ago
8

HELP ASAP!!!!!! Ken and Betty each write a proof of the statement: if m

Mathematics
1 answer:
shepuryov [24]2 years ago
3 0

The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have Ken's statements are shown in the table:

Angle AOC = Angle BOD (given)

Angle AOB + Angle BOC = Angle BOC + Angle COD   (angle addition postulate)

Angle AOB = ANgle COD (subtraction property of equality)

Ken wrote direct proof using deductive evidence.

As we can in betty's proof:

Betty wrote an indirect proof using contradiction.

Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

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To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
Read 2 more answers
A water sprinkler sends water out in a circular pattern. How large is the watered
Grace [21]
28.26 feet squared

Work:
A = π r²
A = 3.14 (3²)
A = 3.14 (9)
A = 28.26
6 0
3 years ago
Which of the following describes similarity in general
sweet [91]
Similarity is the comparison between two things in a fashion that shows what is similar or shared between those two things. Similar qualities, similar behaviors, etc are all categorized as a similarity comparison.
7 0
3 years ago
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represent
sladkih [1.3K]

Answer:

6 Hours

Explanation:

Linear Equation: mx+b=y

x variable: Hour

Hourly Fee: $15(x)

(Initial) Rent Fee: $25

Balance: $100

Equation:

15x+25=100

15x+25-25=100-25 -- <em>Separate the constant terms from the x by subtracting 25 from both sides.</em>

15x=100

15x/15=100/15 --<em> Isolate the x variable by dividing 15 from both sides.</em>

x=6.6.. <em>-- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15. </em>

x=6 Hours

3 0
2 years ago
Read 2 more answers
The cost of 2 jackets and 3 skirts was sh 1800. After the cost of a jacket and that of a skirt was increased by 20%,the cost of
nadya68 [22]

Answer:

New cost of jacket = 1.2x=1.2\times 600=720\ \text{sh}

New costs of skirt = 1.2y=1.2\times 200=240\ \text{sh}

Step-by-step explanation:

Let original cost of jacket = x

original cost of skirt = y

The equation will be

2x+3y=1800

New cost of jacket = 1.2x

New costs of skirt = 1.2y

The equation will be

6(1.2x)+2(1.2y)=4800\\\Rightarrow 7.2x+2.4y=4800

The equations are

2x+3y=1800  \times 0.8

7.2x+2.4y=4800

1.6x+2.4y=1440

7.2x+2.4y=4800

Subtracting the above two equations we get

-5.6x=-3360\\\Rightarrow x=\dfrac{3360}{5.6}\\\Rightarrow x=600

7.2\times 600+2.4y=4800\\\Rightarrow y=\dfrac{4800-7.2\times 600}{2.4}\\\Rightarrow y=200

New cost of jacket = 1.2x=1.2\times 600=720\ \text{sh}

New costs of skirt = 1.2y=1.2\times 200=240\ \text{sh}.

3 0
3 years ago
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