Answer:
Exact form : x=6/5
Decimal form : x=1.2
Mixed Number form : x=1 1/5
Step-by-step explanation: Solve for x by simplifying both sides of he equation, then isolating the variable.
Hope this helps you out! ☺
the question does not present the options, but this does not interfere with the resolution
we know that
if a and b are parallel lines
so
1) m∠2=58°------> by corresponding angles
2) m∠1=4x-10------> by alternate exterior angles
3) [m∠2+m∠(3x-1)]+m ∠1=180°------> by supplementary angles
58+(3x-1)+4x-10=180
7x=180-47
7x=133
x=19°
4) angle (4x-10)=-4*19-10-------> 66°
5) angle 3x-1=3*19-1-------> 56°
Answer:
y = 2x+8
Step-by-Step Explanation:
The equation should be in the form of y=mx+b
So you already know it's not A. Also you already know it's not D because the line goes at an angle, if "m"(slope) was 0 then the line would be straight horizontal or straight vertical. So that leaves B and C. And finally you know it's not B because the line is going in the positive direction not negative, so the slope has to be positive, also "b" in the equation is the y-intercept, and that's where the line intersects with the y-axis, and you can see that the line intersects at 8 on the graph. Therefore, the answer is C, y=2x+8
Hope this helps!! :)
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
Answer:
Step-by-step explanation:
Factor the equation:
Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).
Simplify, take out common terms that are found on both the numerator and denominator
