Answer:
x=8°
y=29°
Step-by-step explanation:
vertically opposite angles are equal
so 5x+9°=y+20°
therefore 5x-y=11°
Alternate angles are equal
so 4x+17°=y+20°
therefore 4x-y=3°
equation 1....... 5x-y=11°
equation 2......4x-y=3°
using elimination method x=8°
y=29°
Answer:
infinite
Step-by-step explanation:
Let the linear equation in two variables be ax+by+c=0
Put values
Hence for any values it has infinite number of solutions .
including x=1 and y=3
Let's not look at the option and try to solve it.
√x=7
Let's look at this. Square roots are the number that is multiplied by itself to make that number. For example, 2 is the square root of 4, 3 is the square root of 9.
We need to multiply 7 by itself to find x.
7×7=49
So, D. =49.
Answer:
Step-by-step explanation:
1) the triangle is a right angle triangle.
From the given right angle triangle,
With 67° as the reference angle,
x represents the adjacent side of the right angle triangle.
17 represents the opposite side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 67 = 17/x
xTan 67 = 17
x = 17/Tan 67
x = 17/2.3559
x = 7.22
2) From the given right angle triangle, with 24° as the reference angle,
x represents the opposite side of the right angle triangle.
12 represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Therefore,
Tan 24 = x/12
x = 12Tan 24
x = 12 × 0.4452
x = 5.34
