We solve this the following way:
tie dyed shirts = x
white shirts = y
x = 3y
x + y = 196
3y + y = 196 (we substitute the x with the 3y in the main equation)
4y = 196 (divide this)
y =49
x = 147
The man sold 147 tie dyed shirts and 49 white shirts.
Answer:
75
Step-by-step explanation:
If a triangle = 180 degrees, then subtract 105 by 180, and you get 75!
The theorems used are:
First blank: side-angle-side theorem
Second blank: CPCTC
Third blank: 200 feet
Fourth blank: 1,700 feet.
<h3>What is the Side-angle-side Congruence Theorem (SAS):</h3>
Wen two triangles have a pair of included congruent angles and two pairs of corresponding congruent sides, then both triangles are congruent to each other by the side-angle-side theorem.
Furthermore, if two triangles are known to be congruent to each other, the CPCTC states that "corresponding parts of corresponding triangles are congruent". This means all angles and all sides that corresponds to each other are congruent.
Therefore:
Using the <u>side-angle-side theorem</u> it can be shown that the two triangles are congruent to each other.
Then using <u>CPCTC </u>, the length of the road from the intersection to the first turn would be <u>200 feet.</u>
The total length of the tour would be = 2(200 + 300 + 350)
= 1,700 feet.
Learn more about the side-angle-side theorem on:
brainly.com/question/10617589
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Answer: 0
Step-by-step explanation :0
Answer:
The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Step-by-step explanation:
Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:
500 + (45 x X) = A
300 x 1.1 ^ X = B
A = 500 + 45 x 5 = 500 + 225 = 725
B = 300 x 1.1 ^ 5 = 483.15
A = 500 + 45 x 10 = 950
B = 300 x 1.1 ^ 10 = 778.12
A = 500 + 45 x 15 = 1175
B = 300 x 1.1 ^ 15 = 1253.17
A = 500 + 45 x 14 = 1,130
B = 300 x 1.1 ^ 14 = 1,139.25
Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
