<u>Answer:</u>
m² - 3m - 10
<u>Steps:</u>
(m + 2)(m – 5) = m² - 5m + 2m - 10
(m + 2)(m – 5) = m² - 3m - 10
Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
-------------------
9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
Answer:
y = 95° and x = 21°
Step-by-step explanation:
y + 85° = 180° { being co-interior angles }
y = 180° - 85°
y = 95°
y = 4x + 11°[ being vertically opposite angles ]
95° = 4x + 11°
4x = 95° - 11°
4x = 84°
x = 84° / 4
x = 21°
Answer:
Part 1) An equation is 15.7=3p+1
Part 2) The approximate population in 1950 was 4.9 million people
Step-by-step explanation:
Let
p -----> the population in 1950 in million people
y -----> the population in 2003 in million people
we know that
y=3p+1 -----> equation A
y=15.7 ----> equation B
substitute equation B in equation A and solve for x
15.7=3p+1
3p=15.7-1
3p=14.7
p=4.9
therefore
The approximate population in 1950 was 4.9 million people
