Answer:
Step-by-step explanation:
Opposite (or in The US, vertical) angles are congruent.
Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).
Answer:
10. Let m<Y = y.
Then,
m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]
or, y + (6x-23) + (4x + 9) = 180
or, y + 10x -14 = 180
or, y = 194 - 10x
or, m<Y = 194 - 10x
12. Solution,
a. m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]
b. In triangle WYZ,
m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]
or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]
or, 2 (m<ZWY) = 180 -138 = 42
or, m<ZWY = 21 = m<ZYW
or, m<3 = 21 = m<5
c. Solution,
m<XWY = m<2 + m<3 [Addition axiom]
or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]
or, m<2 = 39
d. Solution,
m<4 + m<5 =60 [<XYW = 60 ]
or, m<4 + 21 = 60
or, m<4 = 39
Answer:
perimeter = 40
area = 46(unit)^2
Step-by-step explanation:
Perimeter - all sides added together
- Find unknown sides (8-3 = 5, 12-2 = 10)
- Add all sides together (8+2+5+10+3+12 = 40)
Area - Length multiplied by width
- Divide shape into two rectangles (#1 is 2x5 and #2 is 3x12)
- Find individual area (rectangle #1: 2*5 = 10 / rectangle #2: 3*12 = 36)
- Add areas together (10+36 = 46)
- Finish with unit squared (46___^2)
There are three terms. :)
Answer:
C 3x + 12
Step-by-step explanation:
3(x + 4)
The 3 gets distributed to each term inside the parenthesis
3(x + 4) = 3x + 3*4
3(x + 4) = 3x + 12
