Is the figure an example of parallel lines?

Yes, the lines intersect.
Yes, the lines do not intersect.
No, the lines intersect.
No, the lines do not intersect.

The size of angle x is 115.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

The whole complete angle is 360.

This means,

164 + 81 + x = 360

Solve for x.

164 + 81 + x = 360

245 + x = 360

x = 360 - 245

x = 115

Therefore,

The size of angle x is 115.

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8x -5 = 4x+7

8x - 4x = 7 + 5

4x = 12

x = 3

Answer: The interest rate was 9%.

Step-by-step explanation:

If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :

[tex]R=\dfrac{I\times100}{P\times t}[/tex]

As per given,

P = $ 500, I = $45, t = 1 year

Substitute values in formula , we get

[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]

Hence,  The interest rate was 9%.

Answer:

KL=45

Step-by-step explanation:

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.

Answer:

y=1/3x-7

Step-by-step explanation:

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

Answer:

Cost of ten bananas and ten pears is  £ 3.90

Step-by-step explanation:

As three bananas and two pears cost  95 p  and  five bananas and three pears cost  £  1.51  or  151  p ,

subtracting former from latter, we get

two bananas and one pear cost  151 p  −  95 p  =  56 p

and doubling four bananas and two pear cost  56 p × 2 = 112 p

Hence, one banana costs  112 p  −  95 p  =  17 p .

and two bananas cost  17 p  ×  2  =  34 p

and hence one pear costs  56 p  −  34 p  =  22 p

Hence cost of ten bananas and ten pears is  

10  ×  17 p  +  10  ×  22 p  =  170 p  +  220 p  =  390 p  =  £ 3.90

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Answer:

480

Step-by-step explanation:

Answer:

486 people can ride the roller coaster in 3 hours

Step-by-step explanation:

40÷15 = 2.7

2.7 × (60×3)

2.7×180= 486

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

Answer:

Exact form: x =  -17\25

Decimal form: x = -0.68

Answer:

1086.3 cm²

Step-by-step explanation:

surface are of sphere = πD²

SA = (3.14)(18.6 cm)^2

SA = 1086.3 cm²

Answer:

x=3/2 (or 1.5)

Step-by-step explanation:

Subtract 3/8 from both sides

Simplify

Subtract 1/2x from both sides

Simplify

Multiply both sides by 4

Simplify

Divide both sides by -3

Answer:

6,9

Step-by-step explanation:

Got it right on edg

The ordered pair which is also on the graph is (6, 9).

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

Suzy is shopping at a book sale.

We can see from the table that when books( x) is 2 then the value of y is 3.

Similarly, x = 4 then y = 6

then we can say that the value of y is the addition of half of the value of x in itself.

So, according to the number pattern;

if we take x = 6

Then 6 + 3 = 9

y = 9

Thus, The ordered pair which is also on the graph is (6, 9).

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Answer: answer is $33.60

Step-by-step explanation:

Answer:

D. 6 cups of oil to 12 cups of milk.

Answer:

d a rosebush 14 butterfly plant 7

Step-by-step explanation:

don't believe me ask some body else okkkkkur

Answer:

A. 106

B. 25

Step-by-step explanation:

A. 33 times 2 = 66

66 Plus the 40 for the membership

66 + 40 = 106

B. 90 - 40 = 50  (40 from the membership)

50 divided by 2 = 25

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

angle ACB+ angle ACD=180°

37+angle ACD=180

angle ACD=143°

Answer:

143 is the answer

Step-by-step explanation:

Answer:

rStep-by-step explanation:

d

Answer:

mean: 4

median: 5

mode: 5

range: 4

9514 1404 393

Answer:

  -28/45

Step-by-step explanation:

Step 1, the sign

When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.

Step 2, the formula

The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:

⇒ "invert and multiply" or "swap dot"

  [tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}[/tex]

⇒ "numerators of a common denominator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}[/tex]

⇒ "swapped denominators of a common numerator"

  [tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}[/tex]

The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. Example: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4

Step 3, reduce the result

Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.

_____

Your product is ...

  (4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45

Answer:

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

Answer:

52 in.

Step-by-step explanation:

Let the width = x.

The length is x + 18.

perimeter = 2(L + W)

244 = 2(x + x + 18)

122 = 2x + 18

2x = 104

x = 52

The width is 52 in.

Answer:

length is 70 width 52

Step-by-step explanation: