Answer:
Danielle
Step-by-step explanation:
As you can probably tell, this is a 30, 60, 90 triangle. That means the degree measures are 30, 60, and 90. These are special triangles. For every 30, 60, 90 triangle in the world, the shorter leg (in your case, x) is ALWAYS two times shorter than the hypotenuse (6). 6/2=3, so x=3. Also, the longer leg for a 30, 60, 90 triangle is always equal to the shorter leg times the square root of 3. So, 3 times the square root of 3 is about 5.2. So, y=5.2. Hope it helps!
1) These angles are actually equal so set the equation to…
58=5x-2
60=5x
X=12
2) These angles are also equal to each other
16x+22=134
16x=112
X=7
3) These angles are equal too
7x-1=125
7x=126
X=18
4) These angles are supplementary so they add to 180 degrees
9x+2+133=180
9x+135=180
9x=45
X=5
5) These angles are equal as well
8x-77=3x+38
5x-77=38
5x=115
X=23
6) These angles are also equal
11x-47=6x-2
5x-47=-2
5x=45
X=9
7) these also sum to 180
13x-21+5x+75=180
18x+54=180
18x=126
X=7
8) These angles add to 180 as well
9x-33+5x+3=180
14x-30=180
14x=210
X=15
In conclusion, just know how to solve simple one variable equation and know which angles are congruent and supplementary and this will be easy.
VUX = vertical line, undefined slope, represented by x = a number.
so look at ur points (3,-5)....and a vertical line is represented by x = a number...so in ur points, the x value is 3, therefore, ur equation is :
x = 3......x will always be 3 no matter what y is.
<span>1) Solve the system of equations using the substitution method.
2x+8y=4
x=−3y+5
we have that
</span>2(−3y+5)+8y=4---------- > -6y+10+8y=4---------- > 2y=-6-----> y=-3
x=−3y+5----------> x=−3*(-3)+5=14
the answer is
x=14
y=-3
2 <span>Solve the system of equations using the linear combination method.
5m+3n=41---------- > 2*[</span>5m+3n=41]---------------- > 10m+6n=82<span>
3m−6n=9-------------------------------------------------- > </span>3m−6n=9
---------------------
13m+0n=91
m=91/13=7
3m−6n=9--------------- > 3*7−6n=9----------- >21-9=6n-----------> n=2
the answer is
m=7
n=2
<span>3. Solve the system of equations using the linear combination method.
6g+8h=40
−6g+2h=−20
------------------
0+10h=20------------- > h=2
</span> 6g+8h=40--- > 6g+8*2=40-> 6g=24-> g=4
the answer is
h=2
g=4
<span>4. Solve the system of equations using the linear combination method.
9x+5y=35------------- > -1*[</span>9x+5y=35]--------> -9x-5y=-35<span>
2x+5y=0-------------------------------------------- > </span>2x+5y=0
<span> ----------------------
-7x+0=-35
x=5
</span>9x+5y=35- > 9*5+5y=35---- > 5y=-10--------- > y=-2<span>
</span>the answer is
x=5
y=-2<span>
</span>