Answer:
y ≤
Step-by-step explanation:
We are to put the linear inequality;
7x - 4y ≥ 20
in slope intercept form.
We can rearrange the inequality as;
-4y ≥ - 7x + 20
Dividing throughout by -4 we get;
y ≤ - 5
Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.
Answer: The expected population in 25 years should be approximately 4,374
Step-by-step explanation:
Answer:
x = 8
y = 18
Step-by-step explanation:
First, it would be easiest to start by drawing a picture. To do so, draw two simple Isosceles triangles. Then, label their points. One having the points F, U, and N while the other has B, A, and T. Now, since both triangles are congruent, that means that F≅B, U≅A, and N≅T. Because of this knowledge, FN would be congruent to BT. So, you would be able to write that 52 = 14x - 60. By solving that, you would get the answer to x. Moving onto y, you would see that since the triangles are congruent, the interior angles are too. So, you would be able to use angles F and N to find A. By adding them to 180°, the equation would look like: 71° + 36° + (3y + 19)° = 180°. So, you would be able to find the answer to y. Hope this helped!
<h3>
Answer: D) pairs 2 and 4</h3>
Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).
Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.
The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.
Answer:
10
Step-by-step explanation:
6^2+8^2=c^2 (c is the hypotenous)
100=c^2
c=10