Please help!! Need an explanation by tomorrow and I am super confused!
1 answer:
Answer:
x = 35
y = 7
Step-by-step explanation:
See how the image looks like two overlapping triangles. It is given that the triangles are congruent. Its easier to see whats what if you draw the triangles separately. I also flipped over the triangle on the right so they match. Record the given angle measures. Since A is 45° then D is also 45°. DBC is 30°, so we can find the missing angle in triangle DBC. Angles in a triangle add up to 180° so
C + 45 + 30 = 180
C + 75 = 180
C = 105°
This is angle DCB.
Now all the angles are marked. We can set up equations to find x and y. see image.
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Answer:
Step-by-step explanation:
Let represent the amount of money he initially started with.
After he spent 20% on books, he will have of his initial money left. We can represent this as
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have of the remainder of money he had left after he purchased the books. Therefore, he ends up with
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
Divide both sides by 0.64 to isolate and solve for :
Therefore, the boy had $3,125 to begin with.