Answer:
<h3>X = 142°</h3><h3>Y = 38° </h3>
<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE
angle 3y + 28 = angle X ( Vertically opposite angles are equal).
3y + 28 = X
X + Y = 180° ( supplementary angles).
3y - X = (-28)
Solving both the equation we get
multiply eq 1 with 3
3x + 3y = 540
-X + 3y = (-28)
subtracting
4x = 568
x = 142°
3y + 28 = 142
3y = 142 - 28
3y = 114
y = 38°
Answer:
Step-by-step explanation:
a. 0.31
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
<h3>The nth term of an arithmetic progression</h3>
The nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
Learn more on arithmetic sequence here: brainly.com/question/24989563
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Since you want to put this in simplest form ... the easiest way you can do it is
3 (100) + 97
So, step 1] 3(100)= 300
Step 2] 300 + 97 = 397
Answer : 397 over 100
(:
There's other ways too, but it'll take me all night to finish it
