Answer:
For the first one:
D) The perpendicular bisector of line MN
For the second one:
You need a protractor (angle ruler) to measure the angle. After finding the measurement, divide it into two. After finding the result, find the point that has that angle.
Example -
The pie measures 120°.
120° ÷ 2 = 60°
Find the point that measures 60° and connect the points (from the start to the edge of the pie).
For the third one:
C) m∠ABD ≅ m∠CBD
• 4w -6 = -2
+6 +6
4w= 4
— —
4 4
w=1
• 4w - 6 = 2
+6 +6
4w =8
— —
4 4
w=2
Answer:
The solution is given in the photo
Answer:
19
Step-by-step explanation:
note that
(a + b)² = a² + b² + 2ab , that is
a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides
a² + b² = (a + b)² - 2ab
= 5² - 2(3)
= 25 - 6
= 19
Let's break this down into what each piece is.
One flat= one whole= 1
One rod= one tenth= 0.1
One unit= one hundredth= 0.01
a) We have 1 flat, 3 rods, and 7 units. Using what we know, we have 1 whole, 3 tenths, and 7 hundredths. So, this is 1 + 0.3+ 0.07. This equals 1.37.
b) 1 flat, 37 units. This is 1 whole, and 37 hundredths. When there are two digits that you want to put in the hundredths place, put the digit furthest to the right in the hundredths place (excluding decimals) and place the rest of the number to the left accordingly. So for us, 37 hundredths would be .37, not .037. Add up 1 and .37, and we have 1.37.
c) 13 rods, 7 units. This is like the last problem. We have two digits wanted to go in the tenths place, but that isn't possible. So, we take the digit all the way to the right and put it in the tenths place (3). Now, we take out remaining digits (1), and put it in the next space to the left. Our rods= 1.3. Now for our units. We have 7, so that equals 0.07. Add it together, and now we have 1.37.
All of the problems equal 1.37. This shows how many ways a number can be represented.
Hope this helped! If it's still confusing, feel free to comment. have a nice day!