Answer:
1. quadrilateral; not regular
2. quadrilateral; regular
3. octagon; not regular
4. hexagon; regular
5. triangle; regular
6. pentagon; not regular
We have the following expression:
y = logbx
We clear x of the expression.
We have then:
b ^ y = b ^ (logbx)
Rewriting:
x = b ^ y
Substituting we have:
x = b ^ 0
x = 1
Answer:
If (x, 0) lies on the graph of y = logbx, then:
x = 1
Answer: 4.86
Step-by-step explanation: Since <em>n</em> is being divide by 0.9, to get <em>n</em> by itself, we need to multiply by 0.9 on both sides of the equation.
On the right side of the equation, the 0.9's cancel and we have <em>n</em>. On the left side of the equation, we have 0.9 × 5.4 which is 4.86.
Therefore, 4.86 = n.
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answers and Step-by-step explanation:
Question 8:
Since angle BCD is opposite angle DAB, this means that they are similar angles as the shape is a parallelogram, and so BCD is 115 degrees, or answer D
Question 3:
We can use process of elimination on this question - The first choice is all squares are rhombuses, which is true. The second question is all rectangles are squares, which is not true, therefore the answer is B
Question 4:
m angle 2 is equal to 106, as it is similar to question 8, and angle 3 is equal to 360 (the total degrees of the shape) - 106 - 106, then divided by 2 and divided by 2 again.
This will equal to angle 3 being 37 degrees, and the answer will be C
Question 5:
We can draw a rectangle from this graph. We can also tell that, in theory, the diagonals are the same, that rules out answer B, and also 5x-5 = x+11
We can then find out x.
+5 on both sides
5x = x+16
-x on both sides
4x = 16
x = 4.
Therefore, each of the sides will be 4+11 = 15, and the answer being C