Given:
m∠B = 44°
Let's find the following measures:
m∠A, m∠BCD, m∠CDE
We have:
• m∠A:
Angle A and Angle B are interior angles on same side of a transversal.
The interior angles are supplementary.
Supplementary angles sum up to 180 degrees
Therefore, we have:
m∠A + m∠B = 180
m∠A + 44 = 180
Subtract 44 from both sides:
m∠A + 44 - 44 = 180 - 44
m∠A = 136°
• m,∠,BCD:
m∠BCD = m∠A
Thus, we have:
m∠BCD = 136°
• m∠CDE:
Angle C and angle CDE form a linear pair.
Linear pair of angles are supplementary and supplementary angle sum up to 180 degrees.
Thus, we have:
m∠D = m∠B
m∠D = 44°
m∠CDE + m∠D = 180
m∠CDE + 44 = 180
Subract 44 from both sides:
m∠CDE + 44 - 44 = 180 - 44
m∠CDE = 136°
ANSWER:
• m∠A = 136°
,
•
,
• m∠BCD = 136°
,
•
,
• m∠CDE = 136°
Answer:
x = 28
Step-by-step explanation:
From the figure attached,
AC ≅ FH [Given]
BC ≅ GH [Given]
AB ≅ FG [Given]
ΔABC ≅ ΔFGH [By SSS property of congruence]
Since, m∠A + m∠B + m∠C = 180°
50° + 69° + m∠C = 180°
119° + m∠C = 180°
m∠C = 180° - 119°
m∠C = 61°
m∠C = m∠H [Since, ΔABC ≅ ΔFGH]
(2x + 5)° = 61°
2x = 61 - 5
2x = 56
x = 28
x = population after 3 years
y = starting population
r = percentage
n = number of years
x = y *(1+r)^n
x = 8200 * (1 +0.03)^3
x = 8960.36
so about 8960 people in 3 years
The y function
hope this helps
Answer:
part A :BODMAS ( Bracket of Division Multiplication Addition Subtraction )
part b; Bracket (2+3.2) = - 2- 3.2
= 16- 2-3.2 +30-5
ADDITION:-3.2+30 = - 33.2
16-2(-33.2)30-5
14-33.2 +30-5
14-33.2 +25
-19.2+25
-44.2
Step-by-step explanation:
THE FOLLOWING EQUATION CAN ONLY BE SOLVED USING BODMAS
