Answer:
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
Step-by-step explanation:
Represent the amount of red paint by r and that of blue point by b.
Olivia must cover 5000 ft^2 with paint, which comes out to 5000/500, or 10, gallons total of red and blue paint. The corresponding inequality is
r + b ≤ 10 (gallons)
She has onlyl $250 to spend. Therefore, the following must hold true:
($20/gal)r + ($30/gal)b ≤ $250
The required sysstem of inequalities is thus
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
Answer:
Step-by-step explanation:
3. 3
4. 5
5. 6
Answer:
13 cm
Step-by-step explanation:
The perimeter of parallelogram ABDC =2(3.5+3) cm
=13 cm
Answer: true false some true
Step-by-step explanation:
(a) m∠a = 100°
(b) m∠b = 80°
(c) m∠c = 100°
Solution:
Given 3rd and 4th street are parallel lines and King Ave is a transveral line.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠a + 80° = 180°
⇒ m∠a = 180° – 80°
⇒ m∠a = 100°
∠c and ∠a are vertically opposite angles.
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠c ≅ ∠a
⇒ m∠c = m∠a
⇒ m∠c = 100°
<em>If two parallel lines are cut by a transversal, then the corresponding angles in the same side of the transversal are congruent.</em>
80° and angle b are corresponding angles.
⇒ m∠b = 80°
Hence m∠a = 100°, m∠b = 80° and m∠c = 100°.
