Answer:
the first statement is true
Step-by-step explanation:
The side- splitter states that if the line is parallel to a side of the triangle and it intersects the other 2 sides, it divides those sides proportionally.
Thus the converse is that if the sides are proportional then the side TU is parallel to the side RS
Calculating the ratios
=
=
=
=
Since the ratios are equal then TU is parallel to RS
Answer:
59.1 °
Step-by-step explanation:
-Given that Tan B=1.6732
-Angle B is equivalent to the tan inverse of the tan B value:
Hence, angle B is 59.1 °
Answer:
Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.
Step-by-step explanation:
Given:
Number of Miles for Mrs Allan car = 224 miles
Number of gallons of gas required = 8
We need to find the number of gallons of gas required for 560 miles for Mrs. Allan's car.
First we will find, in 1 gallons how many miles does Mrs Allan's Car drives.
For 8 gallons = 224 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 28 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Allan's Car will use <u>20 gallons</u> of gas for 560 miles trip.
Also Given:
Number of Miles for Mrs Owen's car = 210 miles
Number of gallons of gas required = 6
We need to find the number of gallons of gas required for 560 miles for Mrs. Owen's car.
First we will find, in 1 gallons how many miles does Mrs Owen's Car drives.
For 6 gallons = 210 miles
So for 1 gallons = Number of miles in 1 gallon of gas
By using Unitary method we get;
Number of miles in 1 gallon of gas =
Now we know that;
for 35 miles = 1 gallon of gas is required.
So for 560 miles = Number of gallon of gas required in 560 miles.
Again by using Unitary method we get;
Number of gallon of gas required in 560 miles =
Hence Mrs. Owen's Car will use <u>16 gallons</u> of gas for 560 miles trip.