Step-by-step explanation:
The formula of a triangle is A=½bh
Base=6.5
Height=4.8(since the height if the triangle and the width of the rectangle are same)
A=½(6.5)(4.8)
A=½(31.2)
A=15.6
Therefore, the area of the triangle LMN is 15.6
I hope this helps.
H=150cm
Because these rectangles are similar then they can be dilated to get to the same size as the other.
First you want to find what the scale factor (dilation degree) from the big rectangle to the small. So to do this you want to but your SMALLER value on the top while the BIGGER value on the bottom of your fraction to find the scale factor. This would then look like 60/84. You could simplify this fraction to 5/7.
You can then use this fraction to multiply by the other side of the big rectangle so that you find h. 210*5/7=1050/7. When this is simplified you will get 1050/7=150
Answer:
The equation of this line is y - 7 = 4(x + 3)
Step-by-step explanation:
To find this, start with the base form of point-slope form.
y - y1 = m(x - x1)
Now put the slope in for m and the two coordinates in for (x1, y1).
y - 7 = 4(x + 3)
Answer:
54 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
3:2
Multiply each by x
3x:2x
Add the angles together and set equal to 90
3x+2x = 90
Combine like terms
5x= 90
Divide each side by 5
5x/5 = 90/x
x =18
The angles are 3x = 3(18) =54
and 2x = 2(18) = 36
Answer:
x = 50.8°
Step-by-step explanation:
We are given:
1.) Angle x
2.) Side opposite to angle x
3.) Hypotenuse
Therefore to find the angle x, we will use the sin inverse:
<em>Sin(x) = Opposite / Hypotenuse</em>
Sin(x) = 6.2/8
x = Sin⁻¹(6.2/8)
<u>x = 50.8°</u>
Hope this helps!
