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Oksanka [162]
3 years ago
7

Find the volume to the nearest hunkeredth

Mathematics
1 answer:
Over [174]3 years ago
5 0

Step-by-step explanation:

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Find the values of x and y that make these triangles congruent by the HL Theorem.
RideAnS [48]

According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

By using equation (1) next step is to plug in y+1 for x in equation (2). So,

2 ( y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3 By using distribution property.

2y + 5 = 3y + 3

2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.

2y = 3y - 2

2y - 3y = -2 Subtract 3y from each sides.

-y = -2

So, y=2

Next step is to plug in y=2 in equation (1) to get the value of x. Hence,

x= 2+1

=3

So, x=3 and y=2 make these triangles congruent.

So, the correct choice is 3. x = 3, y = 2.

7 0
3 years ago
What is the area, in square centimeters, of the figure below? 2.4cm, 5.8cm
nirvana33 [79]

Answer:

13.92

Step-by-step explanation:

8 0
4 years ago
How to determine if Triangles are Congruent?
IRISSAK [1]

So basically what you have to do is first identify all of the sides or angles that equal eachother then you can see if you did a side side and side in a row etc, like 44 would be SAS because the vertical angles would be inbetween the two sides. 46 would be SSS because after you make the line in the middle for reflexive property you can see that there are three sides in a row. If this didnt help i recommend looking on Khan Academy

7 0
3 years ago
I give brainiest!!! Find the area of that sector. Show work.
Aleksandr [31]
That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.

Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665
6 0
3 years ago
Read 2 more answers
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?
Julli [10]

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 75%

Write a proportion:

\dfrac{5}{x}=\dfrac{100}{75}

Cross multiply:

100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

7 0
3 years ago
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