The answer is 21
First you po perenthies which would be 8-6=2 the equation now is 5+4×(2)2
Then you to exponents which would be 2×2=4 the equation now is 5+4×4
Now you multiply 4×4=16 the equation is now 5+16
Now you add 5 and 16 to get 21
Answer:
Step-by-step explanation:
y=2x-5
From y=mx+c
Comparing the equation
M=2.
For parallelism
M₁=M₂
y-y₁=m(x-x₁) equation of a line passing through a point
point (-4,2) are x₁ and y₁ respectively
y-2=2(x-(-4))
y-2=2(x+4)
y-2=2x+8
y=2x+8+2
y=2x+10
Answer:
Step-by-step explanation:
1. Corresponding Angles
<1 and <5
<2 and <6
<3 and <7
<4 and <8
They are equal in measure because corresponding angles are always equal to each other which means that they are congruent.
2. Alternate Interior Angles
<3 and <6
<4 and <5
They are always equal to each other because alternate interior angles are always congruent.
3. They are alternate exterior angles which means that the angles are always congruent.
4. <8 will be 73 degrees which is the same as <4 because they are corresponding angles and they are always congruent.
5. Angle 6 will be 107 degrees because they are alternate interior angles and they are always congruent.
Answer:
Correct option is A
Since it is an equilateral triangle, the lengths of the sides are equal
So, x+3 y=3 x+2 y−2=4 x+
2
1
y+1
x+3 y=3 x+2 y−2
y=2 x−2
2 x−y=2 ...(1)
Also, 4 x+
2
1
y+1=x+3 y
8 x+y+2=2 x+6 y
6 x+2=5 y
6 x−5 y=−2 ...(2)
Multiplying e q(1) by 5 we get,
10 x−5 y=10 ...(3)
Subtracting e q(2) from e q(3) we get,
4 x=12⇒x=3
y=2 x−2=4
The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units
Answer:
49.69
Step-by-step explanation:
use Equation for cos15°
cos15°=48y/distance
0.9659=48/Distance
distance=48/0.96592
distance=49.69 yard