If we draw a line from the vertex to the midpoint of the base we get 2 right angled triangles. So we can use Pythagoras theorem to find the length ( height):-
20^2 = x^ + 5^2
x^2 = 400 - 25 = 375
x = sqrt 375 = 19.36 cm to nearest hundredth.
Answer:
Step-by-step explanation: We are given to graph the following equation on a piece of paper:
Then, we are to select the correct choice of the graph that matches with the graph we have drawn.
Writing the inequality (i) as an equation, we get
Since it is a linear equation in two variables, so we need only two points to draw the graph.
At x = 0, we have
at x = -4, we have
So, (0, 2) and (-4, -1) are two points on the line.
We draw the line as shown in the attached figure below. Also, the line is dotted because the points on the line are not included.
Since so the region below the straight line will be shaded.
We see that the drawn graph below matches with the graph (A).
Thus, the correct option is (A).
Step-by-step explanation:
Answer- each width = 10, each length = 21
Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
Answer:
y = 130°
Step-by-step explanation:
4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)
8x = 184
x = 23°
3x - 19 + y = 180 (supplementary = 180)
sub x = 23 into equation
50 + y = 180
y = 130°