Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
11 is the answer to your question.
2×11=22
22+5=27
Answer:

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
×
+
×
Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using
GCF(14,12) = 2
14÷2 / 12÷2 =7/6
The fraction
7/6
is the same as
7÷6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= 
Therefore:
3/4 − (−5/12) = 
Solution by Formulas
Apply the fractions formula for subtraction, to
3/4 − (−5/12)
and solve
(3×12) − (−5×4) 4×12
=3/6− (−20/48)
=56/48
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8
56÷8 / 48÷8 =7/6
Convert to a mixed number using
long division for 7 ÷ 6 = 1R1, so
7/6= 
Therefore:
3/4 − (-5/12) = 
9/15 becomes 90/15 but now u have a point on ur answer so it would be .6 as 15 times 6 equals 90
Answer: the height of the kite is 106.065 ft
Step-by-step explanation:
The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.
To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Therefore,
Sin 45 = x/150
Cross multiplying, it becomes
x = 150Sin45 = 150 × 0.7071
x = 106.065 ft