Answer:
Step-by-step explanation:
Answer:
c and f
Step-by-step explanation:
all sides are different lengths and it has a right angle
The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
Answers and Step-by-step explanations:
16. Yes; we can see that AB || CD, so by definition of alternate angles, angles BAE and CDE are equal. In addition, angles AEB and CED are vertical angles, so by definition, they are congruent. Then by the AA Similarity Theorem, triangles AEB and CED are similar.
17. No; we see that KL = NO and that angles KLJ and NOM are congruent. However, there is no other indication (whether it's same angles or corresponding sides with the same ratio) that we can use to prove the two triangles are similar. So, these triangles are not similar.
18. Yes; we can see that ML || PO, so by definition of corresponding angles, angles NML and NPO are equal. In addition, we can obviously see that angles MNL and PNO are literally the same angle. So by AA Similarity Theorem, triangles MNL and PNO are similar.
Hope this helps!
Answer: Keith can make 10 batches of cupcakes.
Step-by-step explanation:
To make cupcakes, he needs 1 3/10 cups of flour per batch of cupcakes. Converting 1 3/10 cups of flour into improper fraction, it becomes 13/10 cups of flour.
Let x represent the number of batches of cupcakes that Keith can make If Keith has 13 cups of flour, . Therefore,
13/10 cups of flour = 1 batch of cupcakes
13 cups of flour = x batch of cupcakes
Cross multiplying, it becomes
13/10 × x = 13 × 1
13x/10 = 13
13x = 13 × 10 = 130
x = 130/13 = 10
