Solving for x in the given images; we have; x = 157/12 and x =11 respectively.
<h3>Congruent triangles</h3>
From the law of Congruence in the first image (triangle)
We have;
For the second image;
We have;
Read more on congruent triangles;
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Answer:
f(x) will be any function that has the slope of 3/4
slope is represented by m in y = mx+b.
This is because parallel lines always have the same slopes, while perpendicular lines have the negative reciprocal of given slope.
Answer:
ans = 4
Step-by-step explanation:
he has 2 1\2 and 4 1\4
to find the ans, we must firstly find out his total amount of fabric, so we add the available fabric
first we add whole numbers
2 + 4 = 6
then we add fractions
1 1
--- + ---
2 4
2 + 1 3
------------- = ---
4 4
after we add the whole no and fraction
6 + 3\4 = 6 3\4
note 10 1\2 is greater than 6 3\4
so to find the part left, we
have
10 1\2 - 6 3\4
as our answer
Answer:
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
Step-by-step explanation:
Judging by the first sentence, there are 800 sweaters, 150 of which are red. Hence 800 - 150 = 650 sweaters are not red.
Statement (1) mentions that 320 of the sweaters at the store are neither red nor made of pure wool. This implies that of the remaining 650 non-red sweaters, 320 of them are not made of pure wool. It tells us then that there are 650 - 320 = 330 sweaters that are not red and that are not pure wool. So, it does not give information about red sweaters at all, whether pure wool or not.
Statement (2) says 100 of the red sweaters at the store are not made of pure wool. This means out of all 150 red sweaters, 100 of them are not made of pure wool. Then we have that 150 - 100 = 50 red sweaters are made of pure wool. This is the response to the question asked.
Hence, we see that statement (2) alone is enough, while statement (1) alone is not.
135.05 = 50 + 9.45x
85.05 = 9.45x
x = 85.05/9.45
x = 9
Mariana worked for 9 hours.