Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
The greatest whole possible whole number length of the unknown side is 9 inches
<em><u>Solution:</u></em>
Two sides of an acute triangle measure 5 inches and 8 inches
The length of the longest side is unknown
We have to find the length of unknown side
The longest side of any triangle is a hypotenuse
<em><u>For a acute triangle we know:</u></em>
If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

Here in this sum,
a = 5 inches
b = 8 inches
c = ?
Substituting we get,

On rounding to nearest whole number,
c < 9
Hence, to the greatest whole possible whole number length of the unknown side is 9 inches
2 miles should be the answer because 1/4x8=2
Answer:
11/6
Step-by-step explanation:
6/3+(-1/6)
2+(-1/6)
2-1/6
12/6-1/6
11/6
Answer:
x=2
Step-by-step explanation:
The angle formed by two tangents intersecting outside of a circle is half the difference of the intercepted arcs.
This implies that:

We need to simplify this ad solve for x to get:

Group the similar terms to get:

232=116x
Divide by 116 to get:
x=2