Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1. Given
2. 
Given
3. Definition of perpendicular lines CM and AB
4. Reflexive property
5. ASA postulate
Answer:
$1612.80
Step-by-step explanation:
<u>Sales Tax</u> would be 0.06 * 21,000 = $1260
<u>Property Tax:</u>
16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.
So the property tax would be 16.80 * 21 = $352.80
Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80
Answer:
-1
Explanation:
Let the number be x.
Then the equation will be:
3(x+18) = 51
=> 3x + 54 = 51
=> 3x = 51 - 54
=> 3x = -3
=> x = -3/3
=> x = -1
So, the number you thought of is -1.
X = the number of humans and y = the number of horses.
x+y=74
2x+4y=196
Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.
So, now that you have y, you can plug it into the first equation to find x:
So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.
Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....
