6/7 of 1 3/4......turn the mixed number to an improper fraction...and " of " means multiply
6/7 * 7/4 = 42/28 = 1 1/2...so a compact car weighs 1 1/2 tons or 1.5 tons
Step-by-step explanation:
Given
![f(x) = \frac{x + 5}{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B%205%7D%7Bx%7D%20)
So
![f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2}](https://tex.z-dn.net/?f=f%282%29%20%3D%20%5Cfrac%7B2%20%2B%205%7D%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20)
Now
![{f}^{ - 1} (x) = \frac{5}{x - 1}](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7B5%7D%7Bx%20-%201%7D%20)
So
![{f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5](https://tex.z-dn.net/?f=%20%7Bf%7D%5E%7B%20-%201%7D%20%282%29%20%3D%20%20%5Cfrac%7B5%7D%7B2%20-%201%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%7D%7B%201%7D%20%20%20%5C%5C%20%20%3D%205)
Hope it will help :)❤
Answer:
x the (x) value of the ordered pair, it is proportional.
Step-by-step explanation:
Divide the sides of the larger triangle by the corresponding side of the smaller one:
18/7.2 = 2.5
Figure A is 2.5 times the size of figure B
The scale factor is 2.5
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°