Answer:
21 cards left to be signed
Step-by-step explanation:
1/3 of 72 is 24
So Harrison signed 24
3/8 of 72 is 27
Sp Alwine signed 27
24+27=51
So 72-51=21
21 cards left to be signed
Answer:
171 times
Step-by-step explanation:
171 is the least common factor between numbers 9 and 19
When u all those 5 numbers together u get 354 so:
354/5= 70.8
70.8 is ur median
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;
where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;
Multiplying both sides of the equation by 2, we have;
Simplifying, we have;
Adding both sides of the equation by 2, we get;
Dividing both sides of the equation by 10, we have;
Thus, the value of x is 5.
