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Leno4ka [110]
3 years ago
10

Which concept is used to prove that the opposite sides of a parallelogram are congruent? congruent rectangles similar rectangles

congruent triangles similar triangles
Mathematics
2 answers:
kotykmax [81]3 years ago
8 0
I think it's congruent triangles
ValentinkaMS [17]3 years ago
7 0

The <em>correct answer</em> is:


Congruent triangles.


Explanation:


Consider the top and bottom sides of the parallelogram parallel lines. The diagonal of the parallelogram would be the transversal.


The diagonal splits each opposite angle into two pieces. Using the diagonal as a transversal means we have two pairs of alternate interior angles; this means each pair is congruent. This gives us two congruent angles in two triangles.


The diagonal of the parallelogram is congruent to itself. This gives us two angles and the side between them; this is the angle-side-angle, or ASA, congruence theorem. This proves that the two triangles are congruent.


Since the two triangles are congruent, the corresponding parts of each triangle would be congruent; this means the opposite sides of the parallelogram are congruent.

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3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be u
Anarel [89]

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)

\Rightarrow  35\times 900 = 46x + 12\times 900 - 12 x

\Rightarrow 34x= 900(35-12)

\Rightarrow x = (900\times 23)/34

\Rightarrow x = 608.82 lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

5 0
2 years ago
Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces
denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177

Thus total weight of Mason is 177

6 0
3 years ago
Which number goes in the box to make a true equation?<br> ]X 10 = 42.000
kherson [118]

Answer:

x=4200

Step-by-step explanation:

10x=42000

x=4200

5 0
3 years ago
A box without a top is made from a rectangular piece of cardboard, with dimensions 27 centimeters by 18 centimeters, by cutting
GaryK [48]
By cutting each corner we have that the resulting dimensions are:
 27 - 2x
 18 - 2x
 Height = x
 Therefore, the volume of the box in terms of the variable x, is given by:
 V (x) = (x) * (27-2x) * (18-2x)
 Answer:
 
The volume of the box in terms of x is:
 
(27-x) (18-x) x
8 0
3 years ago
Read 2 more answers
How to write 30 1/4% as a fraction in simplest formq
ycow [4]
p\%=\dfrac{p}{100}\\\\30\dfrac{1}{4}=\dfrac{30\cdot4+1}{4}=\dfrac{121}{4}\\\\30\dfrac{1}{4}\%=\dfrac{121}{4}\%=\dfrac{\frac{121}{4}}{100}=\dfrac{121}{4}\cdot\dfrac{1}{100}=\dfrac{121}{400}\\\\Answer:\boxed{30\frac{1}{4}\%=\frac{121}{400}}
8 0
3 years ago
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