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2 years ago

How to find x and also giving reason . Thanku

Mathematics

1 answer:

Colt1911 [192]2 years ago

7 0

1a. x = 70
Alternate Interior Angles

1b. x = 120
Alternate Interior Angles

1c. x = 110
Corresponding Angles

2a. x = 100
Alternate Interior Angles
y = 80
Supplementary Angles (with x)

2b. x = 75
Corresponding Angles
y = 105
Supplementary Angles (with x)

2c. x = 70
Same-Side Interior Angles
y = 110
Supplementary Angles (with x)

Try the rest on your own!

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Round 6.432 to the nearest tenth.

fenix001 [56]

Answer:

6.4

Step-by-step explanation:

a number rounded to the nearest tenth is

$a.b$

so our number is

$6.432$

we can forget about the 2

$6.43$

so we can round it

since 3 is less than 5 we don't change the 4 to 5

$6.4$

7 0

2 years ago

The length of a swimming poollane

Hunter-Best [27]

Answer:

x²+5x - 150 = 0

Step-by-step explanation:

Let the length be y and width be x

If the length of a swimming pool is 10 more than 2 times the width, then;

y = 2x+10 ...1

Since the Area is 300m²

A = xy

300 = xy .... 2

Substitute 1 into 2

300 = x(2x+10)

300 = 2x²+10x

Rearrange

2x²+10x - 300 = 0

Divide through by 2

x²+5x - 150 = 0

This gives the required quadratic expression

8 0

2 years ago

To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average n

gizmo_the_mogwai [7]

Answer:

The question is not complete,find below complete question

Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions.

To calculate the hourly revenue from the buffet after x $1 increases, multiply the price paid by each customer and the average number of customers per hour. Create an inequality in standard form that represents the restaurant owner’s desired revenue.

Type the correct answer in each box. Use numerals instead of words. x2 + x + ≥

Price is $8

Step-by-step explanation:

The minimum revenue of $130 is a function price multiplied by number of buffet sold

initially price per buffet was $10

16 buffet sold per hour

when cost of buffet to customer increases by $x,the number of customer would decrease by 2 multiplied x since x is the increase in the price that has turned customers away

(10+x)(16-2x) less than or equals 130

by opening brackets we have

160+16x-20x-2x^2 less than equals 130

if we divide the equation by 2

80+8x-10x-x^2

8(10+x)-x(10+x)

8-x=0 or x+10=0

x=8 0r -10

price cannot be negative hence x is $8

6 0

2 years ago

*********************

Mashcka [7]

Answer:

I am confused what is the question?

6 0

2 years ago

Read 2 more answers

Find the area of the circle to the nearest whole number, if necessary!

astra-53 [7]

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

$A=\pi r^{2}$

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

$A=\pi (21)^2\\A=441\pi \\A=1385.44236...$

So, to the nearest whole number, the area of the circle is 1385 square mm.

5 0

1 year ago