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solong [7]
2 years ago
10

Can someone please help!!

Mathematics
1 answer:
leva [86]2 years ago
8 0

Answer:

Step-by-step explanation:

the last one

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Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.
AleksandrR [38]

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ    ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, TS = \frac{1}{2} QR

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, TU = \frac{1}{2} PR

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

6 0
3 years ago
Based on the graph what are the solutions to ax^2 + bx+c=0 Select all that apply
AlexFokin [52]

Answer:

x=-2 and x = 5

Step-by-step explanation:

The solutions to the equation are where the graph crosses the x axis

We can see that the graph crosses at x=-2 and x = 5

8 0
3 years ago
Read 2 more answers
How to get the equation
Olenka [21]
ITS EASY AND IF YOU TRY YOU CAN FIND THE ANSWER JUST WORK HARD AND TRY
6 0
3 years ago
What is the value of x?<br> 5 cm<br> 3 cm<br> Enter your answer in the box<br> 40 cm<br> 2x + 10
Monica [59]

Answer:

5cm

Step-by-step explanation:

3 0
3 years ago
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $
kramer

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

495=165+55m

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

495=165+55m

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

495-165=55m

330=55m

Divide both sides by 55.

\dfrac{330}{55}=m

6=m

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

8 0
3 years ago
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