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s344n2d4d5 [400]
3 years ago
13

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Mathematics
2 answers:
love history [14]3 years ago
6 0
M<1 = m < 2, that is what I think the answer is
Volgvan3 years ago
5 0

Answer:

4. The statement: m\angle 1=m\angle 2 is not true.

Step-by-step explanation:

We have been given a graph of a quadrilateral and four angles formed by the intersection of the diagonals of this quadrilateral. We are asked to find the statement that is not true about our given angles.

Let us see our given choices one by one.

1. \angle 1\text{ and }\angle 2 are adjacent.

We can see that angle 1 and angle 2 are next to each other, therefore, 1st option is true.

2. m\angle 2=180^o-120^o.

We can see from our given diagram that angle 2 and the angle with measure 180 degrees are linear pair of angles, so they will add up-to 180 degrees.

m\angle 2+120^o=180^o

Upon subtracting 120 degrees from both sides of our equation we will get,

m\angle 2+120^o-120^o=180^o-120^o

m\angle 2=180^o-120^o

Therefore, 2nd option is also true.

3. m\angle 1=120^o because angle 1 and the 120 degree angle are vertical angles.

Since we know that vertical angles are equal, therefore, option 3rd option is true indeed.

4. m\angle 1=m\angle 2

We can find measure of angle 2 by using the equation:

m\angle 2=60^o

Since measure of angle 1 is 120 degrees and measure of angle 2 is 60 degrees, therefore, 4th statement is not true.

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Step-by-step explanation:

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3 years ago
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amo
krok68 [10]

Answer:

The jeweler made 9 necklaces.

The jeweler made 8 bracelets.

Step-by-step explanation:

x = number of bracelets

y = number of necklaces

17 = x + y

238 = 5x + 22y

Make one of the coefficients, x, the same.

17 = x + y

Multiply this equation by 5.

85 = 5x + 5y

Subtract the equations to get rid of x.

(238 = 5x + 22y) - (85 = 5x + 5y)

(5x - 5x) + (22y - 5y) = 238 - 85

22y - 5y = 238 - 85

17y = 153

y = 153/17 = 9

The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.

17 = x + y

17 = x + 9

17 - 9 = x

x = 8

238 = 5x + 22y

238 = 5x + 22(9)

238 = 5x + 198

238 - 198 = 5x

40 = 5x

x = 40/5

x = 8

The jeweler made 8 bracelets.

8 0
3 years ago
(a)
mamaluj [8]

Answer:

10=16[ by cost]

Step-by-step explanation: the cost of 10 chairs is x.

the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0
3 years ago
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