Answer:
- <u><em>The missing length, x, is equal to 7 m.</em></u>
Explanation:
In the figure, the two triangles are similar because they show two pairs of congruent angles and one pair of different sides.
- The two upper vertices are marked each with a line which indicates that they are congruent, i.e. they have the same measure.
- Also, the small squares shown in each of the bases indicate that those two angles are right, i.e. they measure 90°.
- Since the two sides adjacent to the right angles have different lengths, the triangles are not congruent but similar.
By similarity, you can state that the corresponding parts keep the same ratio. Thus:
- x = 8m × 21 m / 24 m (muliply both sides by 8m)
- x = 21 m / 3 (simplify dividing numerator and denominator by 8m)
- x = 7 m (simplify dividing by 3)
Answer x = 7 m
Answer:
The answer is (6.5,3)
Step-by-step explanation:
The solution is in the image
The best and most reasonable answer would be C!
Please give me the brainliest answer :)
The answer to each question is:
How much money do my friends spend on hobbies? "Yes"
How many stamps has Valerie collected? "Yes"
Does Lisa like knitting or karate better? "No"
How much time do my friends spend doing their hobbies? "Yes"
Hope this helps! :)
Let's call the number of standard boxes sold x and the number of deluxe boxes sold y.
The kg of peaches sold will be 1 for each standard box and 2 for each deluxe, so we know:
x + 2y = 12
The kg of apples sold will be 2 for each standard box and 1.5 for each deluxe, so:
2x + 1.5y = 14. Now we solve the two equations as a system:
From the 1st one:
x = 12 - 2y
We substitute in the second one:
2(12 - 2y) +1.5y = 14;
24 - 4y +1.5y = 14;
-2.5y = -10;
y = 10/2.5 = 4;
Now we substitute in the first equation:
x = 12 - 2y = 12 - 2*4 = 12 - 8 = 4.
So the shop sold 4 standard boxes (x) and 4 deluxe boxes (y).
