<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;

Dividing, we get;

Taking
on both sides of the equation, we get;


Rounding off to the nearest whole integer, we get;

Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
USE GOOGLE BEFORE COMING HERE
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
take the triangle away from the square you will get 9 for the square 3x3 you get the 3 from 7 because 7-3=4 the 4 if for the triangle 4x3=12 divided by 2 bc its a triangle u get 6 6+9=15
Answer:
x = -1, y = 1
Step-by-step explanation:
6 + 4x - 2y = 0 (1)
-3 - 7y = 10x (2)
From (1)
6 + 4x - 2y = 0 (1)
4x - 2y = -6 (3)
From (2)
-3 - 7y = 10x (2)
10x + 7y = -3 (4)
4x - 2y = -6 (3)
10x + 7y = -3 (4)
Using elimination method
Multiply (3) by 10 and (4) by 4 to eliminate x
40x - 20y = -60
40x + 28y = -12
28y - (-20y) = -12 - (-60)
28y + 20y = -12 + 60
48y = 48
y = 48/48
y = 1
Substitute y = 1 into (3)
4x - 2y = -6 (3)
4x - 2(1) = -6
4x - 2 = -6
4x = -6 + 2
4x = -4
x = -4/4
x = -1
x = -1, y = 1
The value of x in the equation is -1
Answer:
46 Teas and 29 Coffees
Step-by-step explanation:
46×3= 138
29×6= 174
174+138=312