Answer:
39,51
Step-by-step explanation:
Complementary angles add to 90 degrees
Let one angle be x
The other angle is x+12
x+ x+12 = 90
Combine like terms
2x+12 = 90
Subtract 12 from each side
2x+12-12 = 90-12
2x = 78
Divide each side by 2
2x/2 = 78/2
x =39
The other angle is 39+12 =51
Ex 1 3/2
2 x 1 +3 5
------------ = ----- = 2.5
2 2
first denominator times whatever the whole number is then add that to the nominator than you have an improper fraction
because 3/2 = 1.5 then plus the whole number which is 1.0 = 2.5
Answer:
271,400
Step-by-step explanation:
I hope this helps
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
X equals -8 and y equals to 3
