All categories

3 years ago

PQR is an isosceles triangle in which PQ = PR

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.

You might be interested in

-47+-58 order of operations

kicyunya [14]

Answer: -105

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The area of the kite is 48cm squared what are the lengths of the diagonals

Anika [276]

We see from the attached, that kite area = product of the diagonals / 2
The diagonals could be 12 by 8 or
6 by 16 or
3 by 32, etc
It cannot be narrowed down any further.

5 0

3 years ago

An item that cost $5.50 is marked up %60. What is the new price of the item after the markup? Show work please

r-ruslan [8.4K]

Answer:

$8.80

Step-by-step explanation:

In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:

1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.

2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.

If you don't understand how the second way works or your teacher taught you #1, just do it the first way.

8 0

3 years ago

Devin's bank charges $1.75 for nonbank ATM withdrawals and $0.30 for each debit card transaction. Last month, Devin paid $8.25 i

nikdorinn [45]

Answer:

10 times

Step-by-step explanation:

3 nonbank atm withdrawals costs 5.25 and the total is 8.25 meaning the remaining must add up to 3. And if you multiply .3 by 10 it gives you 3

8 0

3 years ago

In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from

Alexeev081 [22]

The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.

5 0

3 years ago