Hello There!
The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means).
The fourth one is correct, this is because congruent angles are simply angles with the same measure.
In short, you're answer is 4. Congruent angles always have the same measure.
Hope This Helps You!
Good Luck :)
Answer:
Step-by-step explanation:
A salt solution contains 10% salt and weights 80g.
<u>Salt content of the solution is:</u>
<u>4% solution has 8 g salt, total solution is:</u>
- 0.04x = 8
- x = 8/0.04 = 200 g
<u>Water to be added:</u>
point slope form means (y-y1)=m(x-x1)
so u need to find the slope gradient from those 2 points
m=y2-y1/x2-x1
=-6-6/11-7
=-12/4
=-3
and finally x1,y1=7,6
(y-y1) =m(x-x1)
(y-6) =-3(x-7)
Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
The answer for "-2a + 3b" is 5.
To solve this equation, you must first find "a" and "b". A^3 times B^2 = 72. In this case, a = 2 (2*2*2 = 8) and b = 3 (3*3 = 9) since their outcomes multiplied together equal 72.
Now you fill in for "a" and "b". "-2*2 + 3*3" before adding you do all the multiplying, which leaves "-4 + 9". Combining like terms gives you 5.
I hope this helps!!
