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nalin [4]
2 years ago
14

In a Parallelogram CARS , <C = 5x-20 and <A = 3x+20. Find the value of x ?​

Mathematics
1 answer:
coldgirl [10]2 years ago
6 0

Given that

In a Parallelogram CARS ,∠C = (5x-20)°

∠A = (3x+20)°

angle C and angle A are adjacent angles

We know that

In a Parallelogram the adjacent angles are supplementary.

⇛∠C + ∠A = 180°

⇛ (5x-20)°+(3x+20)° = 180°

⇛5x°-20°+3x°+20° = 180°

⇛(5x°+3x°)+(20°-20°) = 180°

⇛8x°+0 = 180°

⇛8x° = 180°

⇛ x° = 180°/8

⇛ x° = 22.5°

<u>Answer</u>:-The value of x = 22.5°

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> In parallelogram MATH, m= (3x+ 20) and t= (5x-4) find A

brainly.com/question/11578604?referrer

find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25

brainly.com/question/6950381?referrer

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sdas [7]
B is the correct answer
7 0
3 years ago
If y varies directly as x and y = 21 when x = 5, find x when y = 42.
Lorico [155]

Answer: 10

<u>Step-by-step explanation:</u>

varies directly means: \frac{y}{x} = k

Step 1: solve for k   ⇒  \frac{21}{5} = k

Step 2: plug in the given value and k to solve for the missing value: \frac{42}{x} = \frac{21}{5}

42(5) = 21(x)

\frac{42(5)}{21} = \frac{21(x)}{21}

2(5) = x

10  = x


5 0
3 years ago
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneou
notsponge [240]

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

<h3>What are extraneous solutions?</h3>

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

Learn more about equations on:

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8 0
2 years ago
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeles
MA_775_DIABLO [31]

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

4 0
3 years ago
A bag contains 4 red and 6 green gumballs. if you select 5 of them without looking, how many ways can you get exactly 3 red or e
marusya05 [52]
This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,

4C3 = 4!/3!(4 - 3)! = 4 ways

If you want to get 2 green out of the total 6, then that would be 6C2. That means,

6C2 = 6!/2!(6-2)! = 15 ways

Therefore, there are a total of 4+15 = <em>19 ways</em>.
8 0
3 years ago
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