Answer:
1. 10 miles
2. 12 feet
Step-by-step explanation:
For question 1, they both walk for two hours so Sara walked 8 hours and her sister walked 6 miles. Since they went 90˚ opposite directions, we have to use the Pythagorean Theorem to find the distance. 8 squared plus 6 squared equals c squared. 64 plus 36 equals c squared. The square root of 100 is 10, so the distance is 10 miles.
For question 2, you also have to do the Pythagorean Theorem. So, since the hypotenuse is 15, we do 15 squared minus 9 squared equals b squared. 225 minus 81 equals b squared. 144 equals b squared. The square root of 144 is 12. The answer is 12 feet. I hope this helped and please mark me brainliest. I spent I lot of time on this!
Can you please add the graph, plus the question?
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
Answer:
Step-by-step explanation:
3y – 6x = 3 -----------------------------------(I)
y = 2x + 1 ----------------------------------(II)
Substitute y = 2x + 1 in equation (I)
3*(2x+ 1) - 6x = 3
3*2x + 3*1 -6x = 3
6x + 3 - 6x = 3
3 = 3
So, no solutions