Answer:
They are complementary.
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
A+B+C=180°
where
A,B and C are the measures of the interior angles of triangle
In a right triangle
The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees
so
A+B+90°=180°
A+B=180°-90°
A+B=90°
Remember that
If two angles are complementary, then their sum is equal to 90 degrees
therefore
A and B are complementary angles
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m =
= 3 , then
y = 3x ← is the equation of the graphed line
Answer:
- one orange costs $0.35 and one grapefruit costs $0.45
Step-by-step explanation:
<em>let grapefruits be g , let oranges be o</em>
so first equation:
→2g + 3o = $1.95
→g = ($1.95 - 3o)/2
so second equation:
→ 3g + 2o = $2.05
→ g = ($2.05 - 2o)/3
Solving simultaneously:
→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2
→ 2($2.05 - 2o) = 3($1.95 - 3o)
→ 4.1 - 4o = 5.85 - 9o
→ - 4o + 9o = 5.85 - 4.1
→ 5o = 1.75
→ o = $0.35
Therefore one orange costs $0.35
Then one grapefruit costs g → ($1.95 - 3o)/2
→ g = ($1.95 - 3(0.35))/2
→ g = 0.45
Therefore one grapefruit costs $0.45
Answer:
79%
Step-by-step explanation:
Answer:
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.
Step-by-step explanation: