Answer:
A. Congruent angles have the same measure.
Step-by-step explanation:
In geometry, 2 objects are congruent if they have the same shape. As such, congruent angles are formed from such shapes. Irrespective of the unit of measurement (in degrees or radians), congruent angles are equal.
This is independent of the direction of the angles.
Hence the right option is
A. Congruent angles have the same measure.
The required distance covered is 90 units
<h3>Distance formula</h3>
The formula for calculating the distance between two points is expressed as shown:
The required coordinates missing are (0, 42.78) and (90.42.78). Substiute the coordinate into the formula:
Hence the required distance covered is 90 units
Learn more on distance formula here: brainly.com/question/1872885
Answer:
y = 30x + 20
Step-by-step explanation:
y = mx + b
find b
b=20
find m
m=30
Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
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Side of the room = x.
From the right triangle, where sides of the square are legs of the right triangle, and the diagonal of the square is a hypotenuse of the right triangle.
x²+x²=6²
2x²=36
x²=18
x=√18 =√(2*9)=3√2≈4.2m
