1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35
Answer:
56 total
Step-by-step explanation:
Let the number of girls = x
Let the number of boys = 3x
x 1
=== = ==========
x + 28 3
Cross multiply
3x = x + 28 Subtract x from both sides
3x - x = 28 Combine
2x = 28 Divide by 2
x = 28/2
x = 14
Girls = 14
Boys = 14 + 28 = 42
Is the ratio 3 to 1?
42/14 = 3/1 Yes it does
Total number
14 + 42 = 56
Answer:
23(2+7y-())=0
Step-by-step explanation:
(10+13)(2+7y=)
We move all terms to the left:
(10+13)(2+7y-())=0
We add all the numbers together, and all the variables
23(2+7y-())=0
Answer:
12 inches
Step-by-step explanation:
To solve you have to set up a ratio. Because both buildings are being shrunk the exact same amount, you just have to account for the size difference from the miniature and real life. The ratio is 21:3 and 84:x. To find x you just have to cross multiply and solve.
The equation comes out to be 252 = 21x
Divide both sides by 21 to get x.
252/21 = 12
The size of the 84 foot building as a model is 12 inches.
The Correct choices are :
- The rate of change is not constant
- This is a negative relationship
- The relationship is non - linear
- The dependent variable is selling price
- The independent variable is age
