The terms are 7x, 2, and 4y. Hope this helps and have an extraordinary day!
Answer:
ft tall
Step-by-step explanation:
We must follow the indications:
Ryan is 4 1/2 ft. tall.
Ryan = 
He is 3 in. taller than his sister Lizzie. to find how tall is Lizzie we need to substract 3 inches from the height of Ryan, but we can only substract the quantities if they are in the same units.
Thus we convert the 3 inches to feet, since we 1 feet = 12 inches:
so the height of lizzie:
we convert the first mixed number to fraction by multiplying 4 by 12 and adding the numerator 1:
the subtraction becomes:
Lizzie is 23/6 ft tall.
She is 3/4 of a foot taller than her sister Emma, thus we must substract 3/4 from the height of Lizzie to find the height of Emma:
Emma is ft tall.
Answers:
A. True
B. True
C. True
D. False
E. True
In short, only answer choice D is false. Everything else is true.
=================================
Explanations:
A. The ordering of FGH and LMN is important. This is because F and L pair up as the first letters of the triple letter sequences, so do G and M as the second letters. Segment FG pairs up with LM because we're talking about the first two letters of both sequences. At the same time, FH and LN pair up because they are composed of the first and third letters of FGH and LMN respectively. Due to the triangles being similar, we can say FG/LM = FH/LN, ie we have a proportion.
------------------
B. Segment LN is proportional to FH, as explained back in part A. For example, FH could be 10 times longer than LN, making FH = 10*LN. Once the scale factor is set, you must use it for the other pairs of sides as well.
------------------
C. Similar triangles have corresponding angles that are congruent. This means F = L, G = M and H = N. Dividing the measure of F over the measure of L leads to 1 (regardless of what the angles happen to be) due to the rule x/x = 1, where x is nonzero. The same thing happens with dividing the measures of angle G over angle M. We get 1 on both sides after simplifying this given equation, so it is a true equation.
-----------------
D. Similar triangles are not congruent, so their corresponding side lengths are not congruent either.
-----------------
E. As explained back in part C, the corresponding angles are congruent because we know the triangles to be similar. The ordering of the letters matter. Angles H and N are the third letters of FGH and LMN respectively, which is why they pair up and are congruent.
Answer: 10.5/6 - 6.5/6 = 2/3
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
the answer is b and c
