I'll help with number 5 since number 4 is a bit too small and squished to read.
Check out the attached image below for the full two-column proof. The added entries are in red.
The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.
The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.
The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"
Answer:
A) 0.47 km
B) 4.88 km
C) 6.25°
Step-by-step explanation:
Please refer to the attached image for explanations
To find teh equation of the line we need the slope of that line and the co ordinates of the one point through which it is passing
here we are given only two points through which it is passing
this can help us to find slope .
We start with finding the slope of the line passing through x1 y1 and x2 y2
that is m= ( y2- y1) divide by ( x2-x1)
here we h ave : x1= -2 and y1 = 7 , x2= 3 and y2 = 12
slope of the line would be : ( 12- 7 ) divide by ( 3 - -2 )
slope of the line = 5 / 5 = 1
Equation of the line having slope m and passing through x1 y1 is :
we have found ,m= 1
Y= m( X- x1) + y1
Y= 1 ( X- -2 ) + 7
Y= X+2 + 7
Y= x+ 9 that is the equation of the required line
Answer : Y = x+9
Answer:
the answer is 2
Step-by-step explanation:
4*5=20 and 5*2=10
and 20/10=2
Answer:
The students have eaten 72 ounces of fruit snacks.
X = 72 ounces
Step-by-step explanation:
There are total 20 packs of fruit snacks
The weight of each pack is 6 ounces.
Let us first find the total weight of the snacks.
Total weight = 6*20
Total weight = 120 ounces
Let X represents the ounces of fruit snacks that students have eaten.
Let Y represents the 48 ounces of fruit snacks left in the box
Total weight = X + Y
120 = X + 48
X = 120 - 48
X = 72 ounces
Therefore, the students have eaten 72 ounces of fruit snacks.