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solmaris [256]
3 years ago
8

What is the area of this polygon?

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Split the figure into 2 shapes a rectangle and a triangle.

Area of rectangle = 7 x 6 = 42 square units.

Area of triangle = 1/2 x 3 x 6 = 9 square units.

Total area = 42 +9 = 51 units^2

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Two​ trains, Train A and Train​ B, weigh a total of 489 tons. Train A is heavier than Train B. The difference of their weights i
makvit [3.9K]

Answer:

Weight of Train A = 454 tons

Weight of Train B = 35 tons

Step-by-step explanation:

It is given that:

Let,

A represent weight of Train A

B represent weight of Train B

According to given information:

A + B = 489      Eqn 1

A - B = 419       Eqn 2

Adding Eqn 1 and 2

A + B + A - B = 489 + 419

2A = 908

Dividing both sides by 2

\frac{2A}{2}=\frac{908}{2}\\A = 454

Putting A = 454 in Eqn 1

454 + B = 489

B = 489 - 454

B = 35

Therefore,

Weight of Train A = 454 tons

Weight of Train B = 35 tons

5 0
3 years ago
What is the estimated sum? Round each addend to the nearest thousand before adding. 75,364 + 472,756 . A. 550,000 B. 548,000 C.
exis [7]
Hey!

We can round 75,364 to 75,000 and 472,756 to 473,000


75,000 + 473,000 = 548,000

So, the answer is B. 548,000 =)
5 0
4 years ago
Adding/Subtracting rational expressions
Leona [35]
7]
 6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
 6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)


9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]

5 0
3 years ago
Can someone explain to me what rate of change is and how you figure it out.
Cloud [144]

ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.


5 0
4 years ago
What is the equation of a line that passes through the points (0,2) and (4,10)? Write your answer in slope-intercept form.
Vika [28.1K]

Answer:

y = -3x + 5

Step-by-step explanation:

7 0
3 years ago
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