Answer:
a) 20
Step-by-step explanation:
Use similar triangles.
2/3 = x/30
3x = 2 * 30
3x = 60
x = 20
Answer: a) 20
Answer:
Step-by-step explanation:
31 - 12n = 21l Subtract 31 from both sides.
31-31-12n =211-31 Do the subtraction
-12n = 190 Divide by -12
-12n/-12 = 190/-12
n = -15.333333
The only step that arena make wrong is step number 2
Answer:
Option d) 115 degrees
Step-by-step explanation:
We are given a trapezium ABDE in the picture. AB and ED are the parallel sides.
F is the mid point of AE and C the midpoint of BD. FC is joined.
We are also given that angle of AED = 65 degrees.
To find the measure of angle BAE.
Since sides AB and ED are parallel sides we find that AE is the transvesal intersecting the two parallel lines.
Hence by parallel lines axiom, the two interior angles namely Angle AED and BAE are supplementary.
i.e. 65 +angle BAE=180
Hence angle BAE = 115 degrees.
Option d is the answer.
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
From the given graph, we can know two points:
Using the slope intercept form of the equation of a line, we get:
Where the slope is 
and the y-intercept is 
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
And the slope intercept form of this equation is:
So the slope is and the y-intercept is 
, the systems formed by these two equations has no solution.
