Answer:
Option D.
LA Theorem or Postulates
Explanation:
LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
In 
and 
[Given]
[Acute angle] [Given]
[Given]
By LA theorems or postulates,
Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.
Answer:
10 one-dollar and 4 five-dollar bills.
Step-by-step explanation:
Let x = the number of one-dollar bills and y = number of five-dollar bills.
Then:
x + y = 14
x + 5y = 30 (using the values of the bills)
Subtracting the 2 equations:-
-4y = -16
y = 4
so x + 4 = 14
x = 10.
There are 10 one-dollar bills and 4 five-dollar bills.
Answer:
Dora has to paint a total ol 60m
Step-by-step explanation:
4x5x3
4x5= 20
20x3=60
For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:
Solve for <em>x: </em>
<em />
<em />
Use a calculator (make sure you're in Degrees Mode!). Hence:
Our answer is C.
