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ValentinkaMS [17]
3 years ago
8

How do you prove the two triangles congruent?

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
5 ideas
1.SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
2.SAS (side, angle, side) ...
3.ASA (angle, side, angle) ...
4.AAS (angle, angle, side) ...
5.HL (hypotenuse, leg)
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The table represents a linear function. find the values of a,b, and c. Show your work.
viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

  of the line and c is the y-intercept (the point of intersection

  between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2  ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2  ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2  ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

6 0
3 years ago
Ht) = -16t+32t+ 10.​
KonstantinChe [14]
Answer:
16t + 10

Explanation:
Step 1 - Add like terms

-16t + 32t + 10
16t + 10
5 0
3 years ago
Find the value of g(-1)
Anna11 [10]

Answer:

g(-1) = -3

Step-by-step explanation:

g(-1) is the y value of the graph when x = -1

when x=-1 y=-3

g(-1) = -3

6 0
2 years ago
your grades on tests 1 2 and 4 are 82 76 and 90. unfortunately you cut the third test and received a 0. If you have one test lef
Dmitrij [34]

Answer:  No, he can't pass the course.

Explanation:

Since we have given that

Marks on tests 1, 2, and 4 are given by

82, 76, 90 respectively.

Unfortunately, he cut the third test and receive a 0.

According to question, we have given that passing grade for the course is 70, and his one test left to take ,

Let the marks obtained in fifth test be x

So,

\frac{82+76+90+0+x}{5}=70\\\\248+x=5\times 70=350\\\\x=350-248\\\\x=102

And it is not possible to get 102 over 100.

so, he can't still pass the course.

Hence, No, he can't pass the course.

8 0
3 years ago
Robert collected 330 aluminum cans. If 100 aluminum cans weigh 4 pounds, and the recycling center is paying 25 cents a pound, ho
labwork [276]
First, determine the weight of 330 cans with the given conditions,
                    (330 cans) x (4 lbs / 100 cans) = 13.2 lbs
Then, the price is determined by multiplying this weight to the price that the recycling center is paying,
                         (13.2 lbs) x (25 cents / lb)  = 330 cents = $3.3
Thus, Robert will be paid $3.3. 
4 0
2 years ago
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