I'll guess the answer would be three becuase that is the number of points connected to A.
Answer: (A) The longer side in the rectangle is 45 units.
(B) The line LP measures 14 cm.
Step-by-step explanation: In the rectangle, two sides are given as 2x and 3x + 3, respectively. The perimeter is also given as 146 units. The formula to determine the perimeter is
Perimeter = 2(L + W)
We can now substitute for the values
146 = 2(2x + 3x + 3)
146 = 2(5x + 3)
146 = 10x + 6
Subtract 6 from both sides of the equation
140 = 10x
Divide both sides of the equation by 10
14 = x
With the value of x now known as 14, the sides of the rectangle are,
L = 2x
L = 2 x 14
L = 28
And the other side is
W = 3x + 3
W = 3(14) + 3
W = 42 + 3
W = 45
Therefore the longer side is 45 units.
In question B;
The rhombus has all sides congruent as one of its properties. This simply implies that the diagonal from point M to point O, is the same length as the diagonal from point L to point N. Hence, at point P, where both diagonals intersect, both diagonals are divided into two equal lengths each. If line LN is 28 cm, then line LP which is half of LN shall be 28 divided by 2, and that gives us 14 cm.
There are several information's already given in the question. Based on those information's the answer has to be deduced.
Number of yogurt flavors = 3
Number of c<span>ookie add-ins = 8
Number of syrup flavors = 3
Then
Number of </span><span>possible yogurt combinations = 3 * 8 * 3
= 72
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the first option or option "A". </span>
Answer:
$40.92
Step-by-step explanation:
child ticket = $4.99 per kid
adult ticket = $5.99
we are told that Jenni has 7 kids she wants to take to the water park. we can multiply 4.99 × 7 to get the total cost of the 7 kids
4.99 × 7 = $34.93
we are also told that Jenni herself wants to go to the water park. since there is only 1 adult going (jenni) we can add $5.99 to our total for the 7 kids
$34.93 + $5.99 = $40.92
it would be $40.92 for Jenni to go to the waterpark with her 7 kids
this problem can also be expressed as an algebraic expression:
4.99x + 5.99 when x = 7