Answer:
angle a = 20 degrees
angle b = 160 degrees
angle c = 15 degrees
angle d = 75 degrees
Step-by-step explanation:
Every straight angle equals 180 degrees, and every right angle is half of that (90 degrees). This is helpful to remember during geometry- every unknown angle is part of either a right or a straight angle. Honestly, if you look carefully enough, most of the answers are supplied in opposite angles.
Hope this helps! If not, let me know! :)
Answer:
Step-by-step explanation:
Using the properties of exponents, when multiplying two exponents of the same base together you can add the powers.
The expression simplifies too:
Answer:
<em>42 square units</em>
Step-by-step explanation:
Find the diagram attached
Area of the diagram = Area of the triangle + Area of rectangle
Area of rectangle = Length * Width
Area of rectangle = 3 * 6
Area of rectangle = 18 square units
Area of triangle = 1/2 * base * height
Get the base of the tringle using the pythagoras theorem;
b^2 = 10^2-6^2
b^2 = 100 - 36
b^2 = 64
b = 8units
height = 6 units
Area of the triangle = 1/2 * 8 * 6
Area of the triangle = 48/2
Area of the triangle = 24 square units
Area of the figure = 18+24
<em>Area of the figure = 42 square units</em>
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
we are given
x-intercept:
we can set f(x)=0
and then we can solve for x
we get
y-intercept:
we can set x=0 and find y
vertex:
now, we can find y-value
so, we get vertex as (1,5)
now, we can draw graph