Answer:
9
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplify the radicals

= 
=
× 
= 2

= 
=
× 
= 3
Then
3
+ 
= 3(2
) + 3
= 6
+ 3
= 9
Answer:
B
Step-by-step explanation:
No these triangles are not congruent.
<u>Left triangle</u>
Shortest side = 6 cm
Longest side = 13 cm
3rd side = unknown but < 13
<u>Right triangle</u>
Shortest side = 6 cm
Longest side = unknown but > 13
3rd side = 13 cm
Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.
We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.
c is the correct answer of this question
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence

Solve for p in the equation

Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then

Hence, q = 30
Applying the rule of angles on a straight line
This implies

Substitute q = 30 into the equation

Solve for w

Hence, w = 90
Answer:
5 apples
Step-by-step explanation:
First, we must find the cost of one apple
12/20 = the cost of one apple
= $0.60
Then, we divide 3 by the price of one apple
3/0.6 = amount of apple we can buy
= 5