Answer:
First equation x=2, Y=9, Second Eq, x=2, y=1
Step-by-step explanation:
X+Y=11
2X-Y=-5 by substitution Y=11-X
So, 2x-(11-x)=-5, 2x-11+x=-5, 3x=6, x=2. Thus, Y=11-2=9
2x+y=5
3x-2y=4
so, y=5-2x
Thus, 3x-2(5-2x)=4
3x-10+4x=4, 7x=14, x=2, Thus, Y=5-2(2)= 1
B. 9 I think because it looks like it is bisected in the middle to cut into two equal parts. Please correct me if I am wrong. Thanks.
Answers:
- The lengths of sides PQ and RS are <u> 13 </u>
- The lengths of sides QR and SP are <u> </u><u>20 </u>
This is a 13 by 20 rectangle.
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Explanation:
Refer to the drawing below.
Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.
We're told that RS = SP - 7 which is the same as saying RS = x-7
We also know that PQ = x-7 as well because PQ is opposite side RS.
In short, we have these four sides in terms of x
- PQ = x-7
- QR = x
- RS = x-7
- SP = x
as shown in the drawing. The four sides add up to the perimeter of 66.
PQ+QR+RS+SP = perimeter
PQ+QR+RS+SP = 66
(x-7)+x+(x-7)+x = 66
4x-14 = 66
4x = 66+14
4x = 80
x = 80/4
x = 20
Use this x value to find the unknown side lengths.
- PQ = x-7 = 20-7 = 13
- QR = x = 20
- RS = x-7 = 20-7 = 13
- SP = x = 20
In short, this is a 13 by 20 rectangle.
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Check:
perimeter = side1+side2+side3+side4
perimeter = PQ+QR+RS+SP
perimeter = 13+20+13+20
perimeter = 33+33
perimeter = 66
The answer is confirmed.
For the first one, you're answer would be AC. since C is also a right angle, and angle A is hypnotenuse to C
Answer:
1
Step-by-step explanation:
Absolute value means take what is inside and make it positive
|5| - |-4|
5 - 4
1