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 <u>ASA</u> or <u>Angle, Side, Angle</u> 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 <em><u>triangle QNR is congruent to triangle RMQ.</u></em>
The image in the attachment shows the angles and their included side, which are colored.
Answer:
x >4 or x < -12/5
Step-by-step explanation:
An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution
|5x-4|>16
5x-4 > 16 5x-4 < -16
Add 4 to each side
5x-4 +4> 16+4 or 5x-4+4 < -16+4
5x > 20 or 5x < -12
Divide each side by 5
5x/5 > 20/5 or 5x/5 < -12/5
x >4 or x < -12/5
Do you have a picture to go with it?
First, you find the biggest number that you can divide 24, 30, and 12 by. I would go with 6, because it will simplify all the numbers into the simplest forms possible in this equation. Then, divide each number by 6.
24/6= 4
30/6= 5
12/6= 2
The answer:
4 : 5 : 2
Hope I could be of help:)
Answer:
22.1 grams
Step-by-step explanation:
At the end of each minute, (1 -17.1%) = 82.9% of the element remains. At the end of 19 minutes, the quantity has been multiplied by that value 19 times, so the remaining amount is ...
(780 g)(0.829^19) ≈ 22.1 g
After 19 minutes 22.1 grams remain.