Answer:
11x + 14
Step-by-step explanation:
There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions
The first method that came up to my mind is just dividing denominators.
For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.
You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
A
a and 143 are supplementary. So a + 143 = 180
a + 143 = 180 Subtract 143 from both sides.
a = 180 - 143
a = 37
B
b and 143 are vertically opposite angles and are equal
b = 143 degrees.
C
Interior angles on the same side of a transversal for parallel lines are supplementary
b + c = 180
143 + c = 180
c = 37
D
c + d + 85 = 180 degrees
37 + d + 85 = 180
d + 122 = 180
d = 180 - 122
d = 58
E
e = c They are vertically opposite.
e =37
F
All triangles have 180 degrees.
e + f + 90 = 180 degrees.
37 + f + 90 = 180
f + 127 = 180
f = 180 - 127
f = 53
G
G and 48 are opposite 2 equal sides. So G and 48 are equal
G = 48
H
h + 48 + 48 = 180
h + 96 = 180
h = 84
K
K and H are supplementary
K + H = 180
k + 84 = 180
k = 95
M
m+ k + d = 180
M + 95 + 58 = 180
M + 143 = 180
M = 37
P
the top angle is 2*m and 2m is bisected. You are using the m on the left.
P + 85 + M = 180
P + 85 + 37 = 180
P + 122 = 180
p = 180 - 122
p = 58
R
r + p are supplementary.
r + p = 180
r + 58 = 180
r = 180 - 58
r = 122
S
s + r + c + b = 360 All quadrilaterals have 360 degrees.
s + 122 + 37 + 143 = 360
s + 302= 360
s = 360 - 302
s = 58
