Number line graph with closed circle on 30 and shading to the right
because you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
Answer:
23.24 feet
Step-by-step explanation:
Use the pythagorean theorem: a² + b² = c², where a and b are legs of the right triangle and c is the hypotenuse.
In this situation, the ladder is the hypotenuse of the triangle, and the distance from the base of the building is the long leg.
Plug in the ladder length as c and plug in the distance from the base of the building as a:
a² + b² = c²
(6²) + b² = (24)²
36 + b² = 576
b² = 540
b = 23.24
So, the ladder reaches approximately 23.24 feet up the wall
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
Answer:
68 flowers
Step-by-step explanation:
70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68.
24 because 24 times 24 is 576
