Answer:
B. m ∠ 1 = 90° and m ∠ 2 = 90°
Step-by-step explanation:
For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.
When two right angles are supplementary, none of them is acute.
For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.
With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.
Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°
Answer:
4 
+ 8 x - 435=0
Step-by-step explanation:
Let x be any natural number
Let the age of Bill= 2 x+ 1 years (Since age is odd integer)
Than, age of a Susan= 2 x + 3 years
Since ages are consecutive odd integers
According to question
(2 x+1)(2 x+ 3)= 438
4 + 8 x + 3 = 438
4 + 8 x + 3 - 438 =0
4 + 8 x - 435=0
This equation can be used to find the ages of both
Hence, the correct answer is 4 + 8 x - 435=0
Answer:
Mia scored 6 baskets Last Saturday.
Step-by-step explanation:
Let:
Mia made score of baskets on Last Saturday = x
Mia made score of baskets yesterday = 3x (Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. three times means multiply 3 with score of Last Saturday baskets, i.e. x)
Total score of baskets = 24
We need to find How many baskets did Mia score last Saturday?
We can write:
<em>Total Score = Score on Last Saturday + Score yester</em>day
Solving this equation we can find value of x:
So, we get value of x = 6
Mia made score of baskets on Last Saturday = x = 6
Mia scored 6 baskets Last Saturday.
Answer:
False, since x values cannot have more than one y value.
Step-by-step explanation:
For this case we have the following variables:
x = the number of drill-based workouts
y = the number of conditioning workouts
The system of equations that adapts to the situation is:
"According to her schedule, she can complete at most 10 workouts this week":
x + y <= 10
"It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week"
45x + 30y> 450
Answer:
A system of inequalities can that be used is:
x + y <= 10
45x + 30y> 450
