The statement that explains how the company can determine whether pool LMNO is similar to pool PQRS is;
B. Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.
<h3>How to carry out Transformations?</h3>
Given that quadrilaterals ABCD and EFGH are similar:
The corresponding points on the quadrilaterals are:
P → L
Q → M
R → N
S → O
So, the first step is any of the following:
Translate point P to L
Translate point Q to M
Translate point R to N
Translate point S to O
Notice that the side lengths of PQRS are bigger than that of LMNO
This means that the Quadrilateral PQRS has to be dilated (compressed) by a ratio of side lengths of LMNO divided by side lengths of PQRS
For example, the point M is translated to point Q. The figure will then be dilated by a ratio of LM divided by PQ.
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Answer:
Step-by-step explanation:
Let x represent the cost of one white chocolate pretzel.
Let y represent the cost of one dark chocolate pretzel.
Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that
4x + 6y = 10.5 - - - - - - - - - - -1
Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that
8x + 3y = 9.75 - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 4, it becomes
32x + 48y = 84
32x + 12y = 39
Subtracting, it becomes
36y = 45
y = 45/36 = $1.25
Substituting y = 1.25 into equation 1, it becomes
4x + 6 × 1.25 = 10.5
4x + 7.5 = 10.5
4x = 10.5 - 7.5 = 3
x = 3/4 = $0.75
the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be
6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
Answer:
x = 80
Step-by-step explanation:
Combine − 3/5x and 7/20x to get -19/20x.
Then combine -19/20x and 1/4x and you get -7/10x.
Then you multiply both sides by -10/7 which is the reciprocal of -7/10.
Make -56(-10) one fraction.
Multiply -56 and -10 and you get 560.
Then divide 560 by 7 to get 80.
