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.
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
Answer:
1/8 pound of trail mix in each bag.
Step-by-step explanation:
She divides it into bags
4 1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound
Answer:
a. 4 teachers b. 58 students c. 62 people
Step-by-step explanation:
multiply 80 by 0.05, you get 4.
Multiply 1160 by 0.05, you get 58.
Add 80 and 1160 together, you get 1240. Multiply 1240 by 0.05, you get 62.