Answer:
22
Step-by-step explanation:
38 - 16 = 22
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
<em />
D) -77
x - 5 - |xz|
8 - 5 - |(8)(-10)|
3 - |-80|
3 - 80
-77
Answer:
M/6 = G/5
Step-by-step explanation:
We are given a relation between the numbers of students in two different groups. That relation can be used to write an equation.
<h3>Groups who bought M&Ms</h3>
If we consider M&M buyers to be 6 in a group, then the number of those groups is ...
M/6
<h3>Groups who bought gum</h3>
Similarly, the number of groups who bought gum will be ...
G/5
where there are 5 gum-buyers in each group.
<h3>Equation</h3>
The problem statement tells us that for each group of one kind, there is a matching group of the other kind. That is, the numbers of groups are equal:
M/6 = G/5
