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Effectus [21]
2 years ago
5

Find the value of x and y from the following​

Mathematics
1 answer:
Ierofanga [76]2 years ago
4 0

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

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Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow
Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, <em>t</em>, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let <em>A</em> represent the amount of money Tom buys the boat with, let <em>x</em>

represent the amount of equal payment made and <em>y</em> represents the

amount Tom owes the friend after a given time, <em>t</em>, we have;

y = A - x·t

Therefore, the slope of the graph formed is <em>-x</em>, the y-intercept of the graph

is <em>A</em>, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

6 0
2 years ago
HELPPPPPPP ASAP!!!!
Sergeeva-Olga [200]

Answer:  AB will be parallel to A'B'.


Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.

We are given ΔUVW  and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.

Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.

Thus, the line segments AB and A'B' will be parallel too each other.

5 0
3 years ago
Read 2 more answers
24) 28 + 3k &lt; 5(–3 – 8k)<br> -4 -3<br> -2<br> -1<br> 0<br> 2<br> 3<br> 4<br> 5 6
ahrayia [7]

Answer:

k < - 1

Step-by-step explanation:

28 + 3k < 5(-3-8k)

28 + 3k < - 15 - 40k

28 + 15 < - 40k - 3k

43 < - 43k

43/- 43 > k (switch signs because 43 is negative)

k < -1

6 0
3 years ago
(Question 2 : Select the best answer for the question.)
iris [78.8K]

Answer:

B is the answer i think

Step-by-step explanation:

because its lenear and positive...

5 0
3 years ago
HELP AGAIN PLSS I WILL MARK YOU BRAINLIEST!​
notsponge [240]

Answer:

132

Total Area = Area of top rectangle+Area of trapezoid w/ bases 7 and 19

= base*height+(average of bases)(height of trapezoid)

= 7*4+8*(7+19)/2

= 28+104

= 132

5 0
3 years ago
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