30 degrees is the value of the missing angle. Since, this triangle is known as an Isosceles all angles are equal.
Answer:
From the graph we can say that ant is moving faster than the ladybug
Slope of the ant's movement will be steeper than the ladybug
- Hence<u>, </u><u>line "</u>v" denotes the speed of ant and <u>line "</u>u" denotes the speed of ladybug.
Unit rate/slope of the graph is (distance traveled/elapsed time)
- <u>Unit rate of ant is 3/2 cm/sec</u> and <u>that of ladybug is 1 cm/sec.</u>
- Ant takes (12×2/3) =<u> </u><u>8</u><u> </u><u>sec</u> and ladybug takes (12×1) =<u> </u><u>12</u><u> </u><u>sec</u> to travel 12 cm.
Remember ant will take less time to travel a certain distance than ladybug.
Answer:
(-1,-1)
Step-by-step explanation:
finding y
-6x + 5y = 1
+ (6x + 4y = -10)
---------------------------
9y = -9
y = -1
finding x
-6x + 5(-1) = 1
-6x - 5 = 1
+ 5 = +5
-6x = 6
x= -1
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
<u><em>1.) 20.2</em></u>
Step-by-step explanation:
1.) You need to use the distance formula:
Find the distance of A to B first:
B to C:
C to A:
Add distances to find the perimeter:
2.) Part A:
You need to use the mid-point formula:
Part B:
1. Use the slope-intercept formula:
M as the slope, b the y-intercept.
Find the slope of the two points A and B using the slope formula:
Insert slope as m into equation.
Take point A as coordinates 
and insert into the equation. Solve for the intercept, b:
Insert the value of b into the equation.
2. Use the mid-point coordinate. Take the slope.
If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:
Insert the new slope into the slope-intercept equation as m.
Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.
Insert the value of b.
