<h2><u>
Answer With Explanation:</u></h2>
<u>Firstly, let's start with <XOZ: =55°</u>
We know that <ZOQ is 70° and angles on a line add up to 180° so we do 180-70=110 110 divided by 2 = 55 so the 2 angles (XOZ & XOP are 55)
<u>Secondly, <OMN, <MON & <ONM = All are 60°</u>
These 2 angles are joined to create an equilateral triangle which always adds up to 180°
So, there are 3 points to this triangle, therefore we divide 180 by 3 which is 60. The angles are 60°
<u>Thirdly, <QON: =55°</u>
This angle lies on the line XON which needs to add up to 180°
As we worked out before, <XOZ was 55°
So, <ZOQ was already given as 70°
We then do 55+70=125 then 180-125=55°
<QON is 55°
(I'm only in Grade 9 LOL)
Here is how to solve this:
18 +4 = 22 bulls
45 + 4 = 50 cows
The original ratio was, 18:45 but now its 22:50 so, no the ratio will not be the same.
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Answer:
B) Its final coordinates are (8,-6)
Step-by-step explanation:
1. Translated 1 unit up and 4 units left
(-2,7) becomes (-6, 8)
2. Reflected about the x-axis
(-6,8) becomes (-6, -8)
3. Rotated 90° anticlockwise about the origin
(-6, -8) becomes (8, -6) because when rotating 90 degrees anticlockwise about the origin, point A (x,y) becomes point A' (-y,x). In other words, switch the x and y and make y negative.
Answer:
a. 800 grams = 1.76 pounds
b. 700 grams = 1.54 pounds
Step-by-step explanation:
Here is a weight conversion problem.
In this question, we shall be making conversions from grams to pounds.
Kindly note that 453.592 grams = 1 pound as stated in the question
a. 800 grams
Kindly recall;
453.592 grams = 1 pound
800 grams = x pound
Thus;
453.592 * x = 800 * 1
x = 800/453.592
x = 1.764 pounds which is 1.76 pounds to 2 decimal places
b. 700 grams
1 pound = 453.592 grams
y pound = 700 grams
y * 453.592 = 700 * 1
y = 700/453.592
y = 1.543 pounds which is 1.54 to 2 decimal places
