Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?

transverse s at angle 135°

180° - 135° = 45°

Angle 2 is congruent to 45° because they're alternate exterior angles.

transverse t at angle 120°

180° - 120° = 60°

Angle 3 is congruent to 60° because they're alternate exterior angles.

One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.

135° = angle 1 + 60°

angle 1 = 75°

120° = angle 1 + 45°

angle 1 = 75°

Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of  ∠2, ∠z and ∠3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

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Answer:

angle L = 100 degrees

angle M = 110 degrees

angle N = 70 degrees

angle P = 80 degrees

Step-by-step explanation:

find value of 'x' then substitute into each of the four angle expressions

to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)

2x + 20 + 3x - 10 + 2x - 10 + 2x = 360

combine 'like' terms to get:

9x = 360

x = 40

angle L = 2(40) + 20 = 100 degrees

angle M = 3(40) - 10 = 110 degrees

angle N = 2(40) - 10 = 70 degrees

angle P = 2(40) = 80 degrees

Check:

100 + 110 + 70 + 80 = 360

$224

...................

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The number of terms in the given expression is 3, so it is a Trinomial

5x^2 + 3x - 3 is a trinomial.

A monomial is an expression that has one term, such as 3x.

A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.

A trinomial is an expression that has three terms, such as x^2 + 5x + 6.

Hope this helps!! :)

Answer:

-94.5

Step-by-step explanation:

7.5 less 102 is equivalent to the negative of 102 less 7.5:  -(102 - 7.5) = -94.5.

It is not strictly necessary to reverse the order of the numbers as shown above, but 102 - 7.5 is more famliar (and thus easier to deal with) than

7.5 - 102.

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The Correct statements are :

Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.

If Mr. Tyler has $5,000 in total, and x dollars in the savings account.

The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.

Amount in the mutual fund = Total amount - Amount in the savings account

Here, Total amount = $5000 and Amount in the savings account = x

Substituting the values back to the formula as

Amount in the mutual fund = $5,000 - x

So, Mr. Tyler has $(5000 - x) in the mutual fund.

Learn more about Mutual Fund here:

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Comparing the total cost, work out the value of x:

Answer:

2q-1

Step-by-step explanation:

Add:

Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.

Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q

5/4q-1/4q is q

q+q is 2q

Now do the same thing with the numbers that doesn't have variables

1-4+2=-1

So the answer is 2q-1

Hope this helps!

Answer:

2q -1

Step-by-step explanation:

(5/4q + 1) + (q - 4) + (-1/4q + 2)

5/4q + 1 + q - 4 - 1/4q + 2

5/4q + q - 1/4q + 1 - 4 + 2

2q -1

Answer:

13

Step-by-step explanation:

69/5=13 remainder 4

u cant make a bookshelf with 4 planks

Answer:

13

Step-by-step explanation:

69 total planks divided by 5 for each bookshelf.

That would be 69÷5=13.8

Seeing as you can't make .8 of a shelf, those planks would just be extra.

Answer:

[tex]\frac{25}{32}[/tex]

Step-by-step explanation:

Rode here on the bus

Now you're one of us

It was magic hour

Counting motorbikes

On the turnpike

One of Eisenhower's

Live your life on a merry-go-round

Who starts a fire just to let it go out?

(dreams tonite lol)

Answer:

9

Step-by-step explanation:

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2

2^28(3^-2/2^3)^4 x 243^2/256^2

2^28 x 1/2^12 x 3^8 x 243^2/256^2

243^2 x 1 x 2^28/256^2 x 3^8 x 2^12

2^28 x 243^2/2^12 x 3^8 x 256^2

2^16 x 243^2/3^8 x 256^2

2^16 x 3^10/2^16 x 3^8

=3^2

=9

Answer:

-17

Step-by-step explanation:

Distribute:

7w+140+w=4

Add like terms

8w+140=4

Move constant to the right

8w=4-140

Add like terms

8w=-136

Divide both sides by 8

w=-17

Answer:

The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.

Explanation:

1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

Answer:

24-20   311-310     107-110

Step-by-step explanation:

Answer:

nearest tenth

......

24= 20

311=310

107=110..........

Answer:

X = 40°

Step-by-step explanation:

The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.

180° - 35° - 35°

= 110°

Then, minus 180 with the right triangle base bcs a straight line is 180°.

So,

180 - 110

= 70°

Now u got the right triangle base which is also an isosceles triangle so both angles are 70°

Now to find the third angle, minus 180 to both the base angles

180 - 70 - 70

= 40°

And that's your answer.

Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.

Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:

= Number of pages / Percentage read

= 60 / 40%

= 150 pages

The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:

= 150 / 40%

= 375 pages

In conclusion, Micah has read 375 pages.

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Answer:

one

Step-by-step explanation:

y = (x + 3)^2

Start with the parent function y = x^2.

y = x^2 touches the x-axis at only 1 point, (0, 0).

The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.

Answer: one

Answer:

Step-by-step explanation:

To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:

y = (x + 3)^2 = 0

Taking the square root of both sides, we get x + 3 = ±0, or x = -3.  As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}.  Thus in theory, the graph touches the x-axis in two places, but these two places are identical:   (-3, 0)

Answer:

5.53

Step-by-step explanation:

We know that lg 1000=3.

And using the calculator, we know that lg 342=2.53

Answer:

3/8

Step-by-step explanation:

you can't split 3 in half to get a whole number, so you need to make it a different fraction with the same meaning to make it possible to divide by 2.

6/8 is the same as 3/4

divide by two to get 3/8  Don't divide the bottom number, just the top.

3/8 pages in one minute.

Hope this helps!

Answer:

695 km per hour

Step-by-step explanation:

Answer:

(D) : Z+7

Step-by-step explanation:

−

1

+

8

}}

z−1+8

+

7

Answer:

Z-4/4+8

Z - 1 + 8

Z + (-1 + 8)

Z + 7

Answer:

12x + 15 = 15

Step-by-step explanation:

step 2

9x + 3x + 15 = 15 ( collect like terms on left side )

step 3

12x + 15 = 15

Step-by-step explanation:

The total of windows they have cleaned = 12

They have cleaned 12 windows = they earn £ 36.

If they have cleaned 1 window = they earn 36/12 = £3.

So Tom have cleaned 7 windows = Tom earn = 3 * 7 = £21.

Please give me a brainliest answer