answer
$962.50
set up equation
first, we want to find out how many gallons of gas she'll save a year
x1 = gallons for old car
x2 = gallons for new car
gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon
then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved
price saved = gallons saved * price
price saved = (x1 - x2) * 3.85
gallons with old car
to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)
x1 = 15000 / 24
x1 = 625
gallons with new car
use the same process as with the old car, but with 40 miles per gallon instead
x2 = 15000 / 40
x2 = 375
plug in values
price saved = (x1 - x2) * 3.85
price saved = (625 - 375) * 3.85
price saved = 250 * 3.85
price saved = $962.50
The statement must be true is AC = DF ⇒ A
Step-by-step explanation:
When two triangles are congruent, then
- Their corresponding sides are equal in lengths
- Their corresponding angles are equal in measures
- Their perimeters and areas are equal
∵ ΔABC ≅ DEF
- Their corresponding sides and angles are equal
∴ AB = DE ⇒ AB is the corresponding side of DE
∴ BC = EF ⇒ BC is the corresponding side of EF
∴ AC = DF ⇒ AC is the corresponding side of DF
∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D
∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF
∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F
- Look to the answer to find the correct statement
∴ AC = DF
The statement must be true is AC = DF
Learn more:
You can learn more about the congruent of triangles in brainly.com/question/6108628
#LearnwithBrainly
Answer:
A=6 and B=4.5
Step-by-step explanation:
You are given table
![\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccc%7Dx%262%264%26%5BA%5D%267%269%5C%5Cy%261%262%263%263.5%26%5BB%5D%5Cend%7Barray%7D)
If the paired values are in a proportional relationship, then
![\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B1%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D%5Cdfrac%7B7%7D%7B3.5%7D%3D%5Cdfrac%7B9%7D%7B%5BB%5D%7D.)
Note that
then
![\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.](https://tex.z-dn.net/?f=%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D2%5CRightarrow%20%5BA%5D%3D6%2C%5C%5C%20%5C%5C%5Cdfrac%7B9%7D%7B%5BB%5D%7D%3D2%5CRightarrow%20%5BB%5D%3D%5Cdfrac%7B9%7D%7B2%7D%3D4.5.)
Answer:
1/48
Step-by-step explanation:
hope I was helpful!!
Let me know if you need a step by step
The answer is 24.15 but rounded the answer is 24.
