Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
Rate = A ratio that compares two quantities measured in different units.
Unit Rate = A rate in which the second quantity in the comparison is one unit.
Jimmy will receive -18 marks in the mathematics competition.
3*10=30
-8*6=-48
30+-48=-18
Answer:
I did my work, and I got 37 scarves. I feel really bad bc I am not 100% sure, and I hate when I am not 100% sure.
Step-by-step explanation:
For if you need to show your work:
33 pieces of blue fabric --> it can make 11 scarves exactly
37 pieces of green fabric --> it can make 12 scarves, with 1 piece of fabric left over
41 pieces of red fabric --> it can make 13 scarves, with 2 pieces of fabric left over
Left over fabric --> there are 3 pieces of fabric left over; 1 green and 2 red. This results in 1 more scarf
So lets add up our scarves: 11 scarves + 12 scarves + 13 scarves + 1 more scarf
That equals 37 scarves!
I hope this helps. Please <em><u>mark brainliest</u></em><em>, </em>I would really appreciate it if you did
Answer:
<h2>x= -3 , y = -2</h2>
Step-by-step explanation:
<h3>
<em>Hope </em><em>it </em><em>helps </em><em>you.</em><em>.</em><em>.</em><em>.</em></h3><h2>Mark this answer as brainliest</h2>
