Hey there! :)
In the big square, the side length is 3, and in the small one, it's 1
Big to Small = 1/3
1/3 = 0.3333 = 0.3
Your answer is 0.3
Hope this helps :)
Answer:
<u>1st graph</u>:
Slope-intercept is y = -7/2x + 3
Point Slope is y + 4 = -7/2(x - 2)
Standard is 7x + 2y = 6
<u>2nd graph</u>:
Slope-intercept is y = 1/2x - 4
Point Slope is y + 2 = 1/2(x - 4)
Standard is x - 2y = 8
<u>3rd graph</u>:
Slope-intercept is y = 3x - 3
Point Slope is y - 3 = 3(x - 2)
Standard is 3x - y = 3
<u>4th graph</u>:
Slope-intercept is y = -2/7x - 4
Point Slope is y + 2 = -2/7(x + 7)
Standard is 2x + 7y = - 28
Step-by-step explanation:
Point Slope formula⤵⤵⤵:

Slope-intercept formula⤵⤵⤵:

Standard formula⤵⤵⤵:

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)
Answer:
(x + 20) + x = 180
-x -x
x + 20 = 180 - x
-x -x
20 = 180 - 2x
-180 -180
-160 = -2x
divide by -2 on both sides.
80 = x
Let's double check!
80 + (80 + 20) = 180!
The value of x for line m = 80!
Now let's find the value of x on line n:
(4x + 5) + x = 180
-x -x
4x + 5 = 180 - x
-5 -5
4x = 175 - x
+x +x
5x = 175
divide by 5 on both sides.
x = 35
Let's double check!
35 + (4 x 35 - 5)
= 170 hmm it doesnt match 180 but just go with it.
Answer:
Acute
Step-by-step explanation:
It should be acute as its less than 90 (right angle) and that also mean its not obtuse ( any angle more than 90.
Answer:

Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

Open Brackets

Collect Like Terms



Collect Like Terms


Multiply both sides by -1


Reorder

<em>Hence, the number of students that do not participate in both is 325</em>