All categories

1 year ago

What's the angle of x?

Mathematics

2 answers:

vichka [17]1 year ago

3 0

Answer:

60 as corresponding and alternate angles r equal

Step-by-step explanation:

romanna [79]1 year ago

3 0

Answer:

x = 60°

Step-by-step explanation:

here, the given lines are parallel,

so, x = 60°

( pair of alternate interior angles )

You might be interested in

Place the LETTER of each value in its location in the real number system below

KiRa [710]

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting numbers, sometimes including 0.

8 0

2 years ago

Factories 24x^2-41x+12

andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

5 0

2 years ago

The front walkway from the street to Pam's house has an area of 250ft^2. Its length is two less than four times its width. Find

OleMash [197]

Answer: the length of the walkway is 30.64ft

The width of the walkway is 8.16ft

Step-by-step explanation:

Since the walkway has length and width, it is rectangular in shape. For a rectangle, the two lengths and two widths are equal. The area is expressed as length, L × Width,W.

The front walkway from the street to Pam's house has an area of 250ft^2. It means that

LW = 250

Its length is two less than four times its width. It means

L = 4W - 2

Substituting L = 4W - 2 into LW = 250, it becomes

W(4W - 2) = 250

4W^2 - 2W- 250 = 0

Using the general formula for quadratic equations,

W = [- b ± √b^2 - 4ac]/2a

a = 4

b = -2

c = - 250

W= [- - 2 ±√-2^2 -4(4 × -250)]/2×4

= (2 ± √4 + 4000)/8

= (2 ±63.277)/8

W= (2 + 63.277)/8 or W = (2 - 63.277)/8

W = 8.16 or W = - 7.91

Since the width cannot be negative, width = 8.16 ft

LW = 250

8.16L = 250

L = 250/8.16 = 30.64 ft

8 0

2 years ago

Read 2 more answers

Roberta's annual take-home pay is $49,500. What is the maximum amount that she can spend per month paying off credit cards and l

postnew [5]

Answer:825

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a

Akimi4 [234]

Answer:

The area of triangle is $110.10cm^{2}$

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC= $\frac{1}{2}acsinB$

= $\frac{1}{2}{\times}12{\times}19{\times}sin105^{\circ}$

= $6{\times}19{\times}(0.965)$

= $110.10cm^{2}$

Thus, the area of triangle is $110.10cm^{2}$

4 0

2 years ago