Answer:
74.8 cm^2
Step-by-step explanation:
The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2
<CAD+<CDA=90
2x-y+x-1=90
3x-y=91
<CBD+<CDB=90
2x+3+y-2=90
2x+y=89
then
3x-y=91
2x+y=89
5x=180
x=36
y=17
<CDA=35
<CDB=15
Answer:
![x=\sqrt{13}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B13%7D)
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
![Hypotenuse = \sqrt{Base^2 + Perpendicular^2}](https://tex.z-dn.net/?f=Hypotenuse%20%3D%20%5Csqrt%7BBase%5E2%20%2B%20Perpendicular%5E2%7D)
Using all the values above into the formula gives :-
![x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}](https://tex.z-dn.net/?f=x%20%3D%5Csqrt%7B2%5E2%20%2B%203%5E2%7D%20%3D%20%5Csqrt%7B4%2B9%7D%20%3D%5Csqrt%7B13%7D)
Answers:
A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)
Explanation:
We perform the reflection across y=x first. This reflection switches the x- and y-coordinates; this maps:
A(2, 4)→A'(4, 2)
B(4, 4)→B'(4, 4)
C(3, 2)→C'(2, 3)
D(1, 2)→D'(2, 1)
Next we perform the translation. This translation shifts the figure 1 unit left and 2 units down, by subtracting 1 from the x-coordinate and 2 from the y-coordinate. This maps:
A'(4, 2)→A''(3, 0)
B'(4, 4)→B''(3, 2)
C'(2, 3)→C''(1, 1)
D'(2, 1)→D''(1, -1)
Answer:
2.236
Step-by-step explanation:
this is very easy. try using a calculator. I just use googles calculator