Answer:
36 ft.
Step-by-step explanation:
The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.
It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.
Hypotenuse: 5 x 3 = 15
Leg 1: 4 x 3 = 12
Leg 2: 3 x 3 = 9
Perimeter: 15 + 12 + 9 = 36
36 ft. is your answer.
Answer:
He pays to the cab driver for 25 miles.
Step-by-step explanation:
Consider the provided information.
Let us consider he walks x miles at the rate of 4 miles per hour.
As we know 
Therefore, time taken is: 
He get a taxi for (31-x) miles at the rate of 50 miles per hour.
Therefore, time taken is: 
It took 2 hours after he started.
That means the sum of time take is 2 hours.
Hence he walk 6 miles and he get a taxi for 31-6=25 miles.
He pays to the cab driver for 25 miles.
Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
Answer:
Yes
Step-by-step explanation:
using pythagorus theorum: a^{2} + b^{2} = c^{2}
24^{2} +32^{2} = 1024+576
= 1600
40^{2} = 1600
thus, it can be concluded that these lengths can be the sides of a right-angled triangle.
How to solve: (15x10)-(3x3)
Answer(hopefully is right): 291
