Answer:
Read below
Step-by-step explanation:
11. YX = 4.5
RQ corresponds to ZY. If RQ is 4 and ZY is 3, then ΔQRP was dilated by 0.75 to form ΔYZX. (3/4 = 0.75). Using this knowledge, we can find the length of YX by multiplying 6 by 0.75. (YX corresponds to QP). 6 × 0.75 = 4.5.
12. 55°
All of a triangle's angles must add up to 180°. ∠Q is 88°. ∠Z is 37°. ∠Z is congruent to ∠R because corresponding angles in similar triangles are congruent. So, 88° + 37° = 125°. We need to get to 180°, so 180° - 125° = 55°.
13. 4.2
BC corresponds to DF. We need to find the scale factor, so divide 2.7 by 3.6. That equals 0.75. AC corresponds to EF. EF is 5.6, so multiply 5.6 by 0.75. That equals 4.2.
I hope this helps :))
Answer:
x = 77/100
Step-by-step explanation:
When you solve this equation: 1.68+ 12x = 10.92
The answer is x = 77/100
Answer: 1/2
<u>Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD</u>
(2/12*1/1) + (1/3+4/4)
<u>Complete the multiplication and the equation becomes
</u>
2/12+4/12
<u>The two fractions now have like denominators so you can add the numerators.</u>
2+4/12 = 6/12
<u>This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor </u>
6/12 ÷ 6/6 = 1/2
<u>Therefore:
</u>
2/12 + 1/3 = 1/2
Each bracelet costs $2.75
She sells them for $7
She makes 7-2.75 = $4.25/bracelet
Let b = # bracelets
To make a profit she has to earn more than $775
4.25b > 775
b > 775/4.25
b > 182 6/17
To make a profit she must sell at least 182 bracelets
Answer:
Pythagorean theorem: a^2 + b^2 = c^2
1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.
a^2 + 12^2 = 15^2
a^2 + 144 = 225
a^2 = 81 --> sqaure root to find the answer basically.
a = 9
- we put AD as a so AD = 9
final answer : 9
2. to find AC, simply add AD and DC.
9 + 16 = 25
final answer: AC = 25
3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.
-- let me know if you need any further explanations.
