Answer:
1. acute angle, 2.right angle, 3.obtuse angle
Step-by-step explanation:
Answer:
6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in
Step-by-step explanation:
6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:
1/2(10)=5
5*12=60 cm
72 is closest to this.
7) Volume is l*w*h, so:
2.5*1.5=3.75
3.75*4=15 cm
8) Again, the height is 5 and the base is 12. 1/2(b)h means:
1/2(12)=6
6*5=30 in
9) All triangles have 180 degrees. So first, add the degrees you know:
33.5+90=123.5
Now, subtract that from 180:
180-123.5=56.5
10) Trapezoids can be found by multiplying the height by the smaller base, so:
6*8=40 in
Hope this helped!
Answer:
-4
Step-by-step explanation:
negative plus a negative means add
You add the number then keep the negative sign
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer:
103°
Step-by-step explanation:
The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.
138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157
1260 - 1157 = 103
Therefore, the missing angle is 103°