Answer:

Step-by-step explanation:
we know that
If NO is parallel to KJ
then
Triangles LNO and LKJ are similar by AA Similarity Postulate
Remember that
If two figures are similar, then the ratio of its corresponding sides is equal
so

substitute the values


3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify
Answer:
B for the first one , and C for the second
Step-by-step explanation:
for the first question DEG which is 60, and GEF which is 120, would equal to 180 degrees, which would be DEF because its a linear pair.
For the second question the are alternate exterior angles, so the are opposite of each other and on the outside.
Answer:
So we know the formula to calculate the area of the circular sector:
S=(r^2*π*a)/306°=
(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.
Step-by-step explanation:
r - radius of the circle
a - corner of the circular sector
S - surface
Answer:
Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.
Step-by-step explanation:
Jet's velocity against wind is
3040/4 = 760 miles per hour and flying with wind it is
8260/7 = 1180 miles per hour.
Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.
As such its velocity against wind is x − y and with wind is x + y and therefore
x − y = 760 and x + y = 1180
Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210
Hence velocity of jet in still air is 970 miles per hour and velocity of wind is
210 miles per hour.
Actual Answer:
https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind