Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
1/7 = 2/14 =
<span>
<span>
<span>
0.1428571429
</span>
</span>
</span>
1/8 = 2/16 = 0.125
2/15 =
<span>
<span>
<span>
0.1333333333
</span>
</span>
</span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)
Step-by-step explanation:
Answer:
m=10
Step-by-step explanation:
Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
<u><em>x = measure of one angle
</em></u>
<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
</em></u>
<u><em>
x + 5x - 13 = 140 {sum of the two angles is 140}
</em></u>
<u><em>6x - 13 = 140 {combined like terms}
</em></u>
<u><em>
6x = 153 {added 13 to each side}
</em></u>
<u><em>x = 25.5 {divided each side by 6}
</em></u>
<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>
<u><em /></u>
