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baherus [9]
3 years ago
7

How many different triangles can you make with the following conditions: angles measuring 45 degrees and 90 degrees and an INCLU

DED side that is 1 inch? one more than one none
Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

One

Step-by-step explanation:

Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)

To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.

Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.

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3. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the
grin007 [14]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.



y = mx + b


y = 2x + 15


slope(m) = 2 and y int (b) = 15



The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2


example :  


baskets picked in 1 hr :


y = 2(1) + 15


y = 2 + 15


y = 17



baskets  picked in 2 hrs :


y = 2(2) + 15


y = 4 + 15


y = 19



so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.


The y intercept (15) is telling us that they already had 15 baskets to start with.

6 0
3 years ago
Ten more than 6 times a number is 4 less than 4 times the number. Please help me!!
Y_Kistochka [10]
10+6x=4x-4
6x-4x=-4-10
     2x=-14
      x-7
10=6(-7)=-32
4(-7)-4=-32
         =-32
6 0
3 years ago
3,480
Serjik [45]

Answer

B

explanation

3480ones = 3480x1=3480

8 0
2 years ago
A submarine starts at the surface of the water and travels to the bottom, a depth of 4000 feet. Graph A shows its distance from
denpristay [2]

Answer:

On Graph B, at 0 hours, the graph will be at 0 feet.

Then, the graph will increase until 1 hour, when the submarine reaches its deepest point.

At 1 hour, the height of Graph B will be 4000 feet.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The probability that an event will occur is 3 over 4. Which of the following best describes the likelihood of the event occurrin
Vera_Pavlovna [14]
It is likely because 3/4 is greater than 1/2.
6 0
4 years ago
Read 2 more answers
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