All categories

2 years ago

If A PQR = ASTU, which statement must be true?

Mathematics

1 answer:

Aleks [24]2 years ago

8 0

Answer:

O A. PQ = SU

Step-by-step explanation:

When two triangles are congruent then by CPCTC,

their corresponding parts ( angles and sides ) must be congruent.

In triangles PQR and STU,

Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,

Also, angles P, Q and R are corresponding to angles S, T and U respectively.

Here, Δ PQR ≅ Δ STU,

Thus, by the above property,

PQ ≅ ST, QR ≅ TU and RP ≅ US,

∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U

You might be interested in

Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

Lorico [155]

Answer:

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

Step-by-step explanation:

$2x^2+4x-5=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}$

$x=\frac{-4\pm\sqrt{16+40}}{4}$

$x=\frac{-4\pm\sqrt{56}}{4}$

$x=\frac{-4\pm2\sqrt{14}}{4}$

$x=\frac{-2\pm\sqrt{14}}{2}$

$x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871$

5 0

3 years ago

a tour-bus operator sold $1,517 worth of tickets for a trip to Niagara Falls. Each tickets cost the same amount and could be pai

prisoha [69]

We will make use of the concept of prime factors for solving this question. The prime factors of 1517 are:

$1517=37\times 41$

So, as can be clearly seen the Niagara Fall tour operator can either sell 37 tickets for $41 each or 41 tickets for $37 each.

Now, we know that we cannot reach $37 using just three bills. Thus, the only option left to us is $41 which can be broken down into three bills of $20,$20 and $1. This satisfies our condition.

Thus the cost of a ticket was $41 and 37 such tickets were sold.

3 0

3 years ago

S(t)=sqrt3t+1 at t=2

avanturin [10]

Answer:

s(2) = √7

Step-by-step explanation:

s(2) = √(3[2] + 1) = √7

5 0

3 years ago

Write the equation in slope intercept form: slope = -4; Y-intercept = (0,2)

tatuchka [14]

Answer:

y=-4x+2

Step-by-step explanation:

The slope intercept form is: y=mx+b

Then

y=-4x+b

y=2 and x=0 at the intercept

thus

2=-4(0)+b

b=2

y=-4x+2

7 0

3 years ago

Read 2 more answers

What is the value of x when x+7=21

Semmy [17]

Answer:

Step-by-step explanation:

14 + 7 = 21

4 0

4 years ago

Read 2 more answers