Answer:
x+7
Step-by-step explanation:
Remove Parentheses
Collect like terms
Calculate
Answer:
2x+3
Step-by-step explanation:
Let x be the number
twice a number
2x
3 more than
2x+3
Answer:
x = 1 , y = 1 and z = 0
Step-by-step explanation:
-2x+2y+3z=0 ------(1)
-2x-y+z=-3 --------(2)
2x+3y+3z=5 ---------(3)
<u>To find the values of x,y and z</u>
(3) - (2)⇒ 2y + 4z = 2
y + 2z = 1 --------(4)
(1) - (2)⇒ 3y +2z =3 ---(5)
(5) - (4)⇒ 2y = 2
y = 1
Substituting the value of y in (4) we get z =0
Substituting the value of y and z in (1) we get x = 1
Therefore x = 1 , y = 1 and z = 0
Answer:
Option (3). 120° will be the answer.
Step-by-step explanation:
By using the theorem of secants intersecting externally,
Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.
m∠C = 
36° = 
72° = 
°
= 72 + 48
= 120°
Therefore, Option (3) is the answer.
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
