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raketka [301]
3 years ago
10

Find the value of \mathrm{x}xin the following figure.

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Step-by-step explanation:

step 1. I guess we assumed the two lines across the transversal are parallel

step 2. 3x + 1 = 85 (definition of alternate exterior angles)

step 3. 3x = 84 (subtract 1 from each side)

step 4. x = 28. (divide both sides by 3)

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Calculate the marked price(original price)if after 20% discount, the price of an article.
Elina [12.6K]

Answer: An article was sold at a 20% discount, at Rs. 400. What was its marked price?

Let M denotes the required marked price of the given article.

Hence from above data we get following relation,

(1 - 20/100)*M = 400

or (4/5)*M = 400

or M = (5/4)*400 = 500 (Rs) [Ans]

Step-by-step explanation:

4 0
3 years ago
What is the sum of the difference?
Alona [7]

Answer:

A. 9x^4 and 3x^5y

Step-by-step explanation:

there are two ways to solve this:

first way:

You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations

the second way is the regular way

when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case 5x^{4} +4x^2 is the same as (5x+4x)^(4+4) = 9x^4and you can do the same process for subtraction

12x^{5}y-9x^5 y\\(12x-9x)^(5+5)*y= 3x^5y

8 0
3 years ago
A.<br> If the side ratio is 5:13, then the area ratio is ?
frez [133]

25:169 can be if is a rectangle  ( times by the number itself )

or is is a square times by 2 ( 10/26)

8 0
3 years ago
Jay estimates that a basketball weights about .5 pounds. Shawna estimates that a basketball weights about.05. Whose estimate is
Natasha_Volkova [10]

Answer:

Jay's estimate is closer to the actual weight of the basketball

Step-by-step explanation:

The standard weight of an NBA basketball is 1.4 pounds.

Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below

Error  = (Standard value - Estimated value)/ Standard Value ×100

Error in Jays answer = \frac{1.4 - 0.5}{1.4} × 100 = 64.28 %

Error in Shawna's answer = \frac{1.4 - 0.05}{1.4} × 100 = 96.42%

From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.

8 0
3 years ago
If y = 3x - 4 and the domain is {-3,-1,4}, find the range.
aivan3 [116]
3x - 4 = <span>3(-3)  - 4 = -9 - 4 = -13
</span>3x - 4 = <span>3(-1.4)  - 4 = -4.2 - 4 = -8.2

answer
range { -13, -8.2}</span>
4 0
3 years ago
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