Start by proving to them that the number 0.57 can be converted into a fraction . A whole number can't exactly be put in to a fraction. 0.57 can be converted to 14.25/25. This information means that 0.57 IS a rational number. Hope this convinced them!
Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>
Answer:
The unit price is 4.15 dollars per gallon
Step-by-step explanation:
- Yolanda buys 5.8 gallons of gas for $24.07
- We need to find the unit price in dollars per gallon
- Unit price means the price of each gallon
∵ The number of gallons = 5.8 gallons
∵ The price of the gallons = $24.07
∵ The unit price = the amount of money ÷ number of gallons
∴ The unit price = 24.07 ÷ 5.8
∴ The unit price = 4.15 dollars per gallon
* <em>The unit price is 4.15 dollars per gallon</em>
Answer: 99 different faces
Step-by-step explanation:
Since a witness can clearly remember the hairline and the eyes and eyebrows of a suspect, and the
basic identification kit contains 195 hairlines, 99 eyes and eyebrows, the number of different faces that can be produced with this information will be 99
Answer:
x ≥ $40
Step-by-step explanation:
Jackie didn't spend more than $40 on a video.
x ≥ $40