When two angles are supplementary, their angle measures add up to 180°. That means that the angles measures of angle m and angle n should add up to 180. With this information, you can set up the equation m + n = 180. You can find the value of x by substituting m and n with their values and solving algebraically.
6x + 3 + 2x - 7 = 180 Add up like values (6x and 2x) (3 and -7)
8x - 4 = 180 Add 4 to both sides
8x = 184 Divide both sides by 8
x = 23
Now to find the measures of angles m and n, substitute the x value into both of the equations and solve.
m = 6x + 3 Substitute
m = 6(23) + 3 Multiply
m = 138 + 3 Add
m = 141°
-----------------------------------------------
n = 2x - 7 Substitute
n = 2(23) - 7 Multiply
n = 46 - 7 Subtract
n = 39°
You can check your work by adding the two angle measures to make sure hey are supplementary.
141° + 39° = 180°
So angle m is 141° and angle n is 39°.
Let me edit your question to simplify it.
Eureka Math :
A)5 ÷ 1/3= ____.
B) There are ___ thirds in 1 whole.
C) There are ___ thirds in 5 wholes.
D) If 5 of 1/3, what is the whole? ___
E) 3 ÷1/5= ____ .
F) There are ___ fifths in 1 whole.
G) There are ___ fifths in 3 wholes.
H) If 3 of 1/5, what is the whole?___
Answer:
A) 15
B) three thirds
C) 15 wholes
D) whole is 2
E) 15
F) five fifths
G) 15 fifths
H) whole is 1
Step-by-step explanation:
A)
÷
- ÷
<u>Third:</u>
- third means
<u> </u>
B)
- To make 1 whole from thirds, we need three thirds i.e.
C)
- In 1 whole there are three thirds, so in 5 wholes there are
wholes.
D)
- In
- The whole of
or 
is 2 (rounding 1.6 to 2)
E)
÷
<u>Fifth:</u> means 
F)
- To make 1 whole of fifths we need five fifths i.e.
G)
- In 1 whole we have 5 fifths, so in 3 wholes we have
fifths
H)
{3x+2y=4 /*5
{4x+5y=17 /*(-2)
{15x+10y=20
<u>{-8x-10y=-34 </u>(+)
<em>7x=-14</em><em />
<em>x=-2</em>
15x+10y=20
15*(-2)+10y=20
-30+10y=20
10y=50
<em>y=5</em>
3/5 times 3/5 times 3/5 times 3/5 is the area. all sides are the same on a square
The investigation that was carried out by the researcher illustrates a one-shot case study.
<h3>What is a one-shot case study?</h3>
It should be noted that a one-shot case study simply means a research design where a single group is observed after experiencing some treatment on a single occasion.
Since the researcher sits in the quad and records the number of minutes each student puts into studying, it's a one-shot case study.
Here, the single group of individuals are selected for observation.
Learn more about case study on:
brainly.com/question/15164693
