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Serggg [28]
3 years ago
10

Explain why triangle pqs is isosceles

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer    

By using the exterior angle property

The measure of exterior angle is equal to the sum of two opposite interior angles.  

In ∠QSR is exterior angle.

∠SPQ and ∠SQP are the opposite  interior angle of the exterior angle ∠QSR .

Thus

∠QSR  =  ∠SPQ + ∠SQP

As given in the diagram

∠QSR  =  2x  , ∠SQP = x

Put in the above

2x = x + ∠SQP

∠SQP = 2x - x

∠SQP = x

Thus

∠SPQ =  ∠SQP = x

By using the property

if two angles are equal in a triangle than their opposite sides are also equal .

Thus

PS = SQ

Two sides of triangle are equal .

therefore Δ PQS is a isosceles triangle .




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60 miles x 4 hours =  240 miles

240 + 96 = 360 total miles

360 / 6 (hours) = 56 mph

6 0
3 years ago
Answer with solution
adelina 88 [10]
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6 0
2 years ago
Read 2 more answers
The weight of a child in 1990 was 40 lb. By 2005, the child's weight
Maslowich

Answer:

225%

Step-by-step explanation:

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90/40 = 2.25.

2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

5 0
3 years ago
Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been
koban [17]

Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

1 dime = 10 cents

1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47      Eqn 1

10x+25y=950   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480

Dividing both sides by 15

\frac{15y}{15}=\frac{480}{15}\\y=32

Putting y=32 in Eqn 1

x+32=47\\x=47-32\\x=15

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

7 0
3 years ago
Does anyone understand how to solve this?
Nataliya [291]

a f(a) is the function f(x) where x is replaced by a.

So we have

(3x^2 + x + 3 - (3a^2 + a + 3)) / ( x - a)

= (3x^2 - 3a^2 + x - a) / (x = a) Answer

b (3(x + h)^2 + x + h + 3 - (3x^2 + x + 3)) / h

= (3x^2 + 6xh + 3h^2 + x + h - 3x^2 - x - 3) ) / h

= (6xh + h + 3 h^2) / h

= 6x + 3h + 1 Answer



6 0
3 years ago
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