Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° = 
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b = 
≈ 7.5 ( to the nearest tenth )
sin39° = 
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c = 
≈ 28.0 ( to the nearest tenth )
Answer:
L = (x - 2) meters
Step-by-step explanation:
The area of the rectangle = (x² - 7x + 10) m²
The width = (x - 5) m
length = ?
Area of a rectangle = length × width
x² - 7x + 10 = L(x -5)
note L = length
divide both sides by (x-5)
(x² - 7x + 10)/(x - 5) = L
L = x² - 7x + 10 / (x -5)
Factorize x² - 7x + 10
find the numbers you can multiply to give you 10 and also add to give you -7
The numbers are -2 and -5. Therefore,
x² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) = 0
(x-5)(x-2) = 0
Let us go back to our division
L = x² - 7x + 10 / (x -5)
x² - 7x + 10 = (x-5)(x-2)
L = (x-5)(x-2) / (x -5)
L = (x - 2) meters
Answer:
divide into two equal parts
Step-by-step explanation:
if this helped mark brainliest! have a nice day
Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Answer:
y = 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = 
= 
=
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
