Write a paragraph or two column proof.

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

AB = AD and BC = DC are given. Furthermore, we can see that AC = AC by the reflexive property. We have three pairs of congruent corresponding sides, which allows us to use the SSS congruence theorem. From that, we would use CPCTC to conclude that angle B is congruent to angle D.

CPCTC = corresponding parts of congruent triangles are congruent.

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An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup. Which expression should be used to fi

amm1812

Answer:

The 3rd answer is correct!

Step-by-step explanation:

5 0

3 years ago

Suppose a car's momentum is calculated to be 36000 . The mass of the car is 1,500 kg. What is the magnitude of the velocity of t

Ad libitum [116K]

Answer:

The magnitude of the velocity of the car is 24 m/s .

Step-by-step explanation:

Given : A car's momentum is calculated to be 36000 .

the mass of the car is 1500 kg.

To find: What is the magnitude of the velocity of the car.

Formula used:

Momentum =mass × velocity

Explanation:

We are given that momentum of the car =36000 .

Mass of the car = 1500 kg .

Plugging the given value in the above formula

Momentum =mass × velocity

36000 = 1500 × velocity

On dividing both side by 1500 we get ,

velocity = 24 meter/second

Therefore, The magnitude of the velocity of the car is 24 m/s .

4 0

3 years ago

4.) Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

marissa [1.9K]

The slope is found by $y_{2} -y_{1} / x_{2} - x_{1}$
Line 1: y2 is 6, y1 is 4, x2 is 2, x1 is -2
6-4/2- -2= 2/4=1/2

Slope intercept is written as y= mx+b. m is the slope, and b is the intercept (the intercept is the value of y when x is 0). To find out the intercept, we plug in values of y, m and x
4= 1/2(-2) +b
4=-1+b
5=b
The equation for line 1 is y= 1/2x +5
Using the same formulas as above, the equation for line 2 is y= 3x+4
The solution to the system is a point where both lines would meet in the graph, or a set of x and y values that satisfies both equations.
y= 3x+4
y= 1/2x+5
3x+4 = 1/2x+5
3x= 1/2x +5 -4
3x= 1/2x +1
3x-1/2x= 1
2.5x=1
2.5x/2.5=1/2.5
x=0.4
Plug 0.4 into the slope intercept equation
y= 3(0.4) +4
y= 1.2 +4
y=5.2

y= 1/2(0.4) +5
y= 0.2 +5
y= 5.2
The solution is 0.4, 5.2

The other set of lines
Line 1: y= 3x+2
Line 2: y= -2x +7
Solution: 1,5

4 0

4 years ago

Find x, 45x - 15x = 300

Sidana [21]

Answer:

x = 10

Step-by-step explanation:

45x - 15x = 300

Combine like terms

30x = 300

Divide each side by 30

30x/30 = 300/30