The question is not complete. The complete question is;
Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.
1) What is the area of triangle RST?
2)What is the ratio of area of triangle RST to area of triangle RMT?
3) What is the area of rectangle RSMN to area of triangle TSN?
Diagram is attached.
Answer:
1) 36 sq.in
2) 2:1
3) 4:1
Step-by-step explanation:
1) Area of triangle is; ½ × base × height.
For triangle RST, base = 9 in and height = 8 in
Thus, area of triangle RST = ½ × 9 × 8
= 36 sq.in
2)Area of triangle RMT = ½ × 8 × 9/2
= 18 sq.in
Ratio of area of RST to area of RMT = 36/18 = 2:1
3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in
Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in
Ratio of Area of Rectangle RSNM to Area of triangle TSN = 72/18 = 4:1
Answer:
acute
Step-by-step explanation:
Evaluate the angle C = (11x + 85)/3 at x = 13:
C(13) = (143 + 85)/3, or 76 degrees. This is an acute angle (more than 0 and less than 90 degrees).
Step-by-step explanation:
-x+2y=-6
x-2y=6
x=2y+6
substitute in 2x-3y=11 gives us 2(2y+6)-3y=11
4y+12-3y=11
y=-1
-x+2(-1)=-6
-x=-4
x=4
<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
