Answer:
44. answer = a. (<)
45. answer = b. (>)
Step-by-step explanation:
To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.
So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:
10 / sin(mQRW) = 17 / sin(mRWQ)
sin(mQRW) / sin(mRWQ) = 10 / 17
The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)
In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:
15 / sin(mRTW) = 8 / sin(mTWR)
sin(mRTW) / sin(mTWR) = 15 / 8
If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)
Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.
Let us assume that the area of the garden is 120 sq.ft
It is given that base=16 ft
Area of Triangle = 1/2 * b * h
120 = 1/2 * 16 * h
h = 120 * 2/16
h = 120 * 1/8
h = 15 ft
Therefore, the height of the triangular garden is 15 ft
Answer:
A = 325 yd^2
Step-by-step explanation:
The area of a parallelogram is found by multiplying the base times the height
A = bh
A = 15* 21 2/3
Changing the mixed number to an improper fraction
21 2/3 = (3*21+2)/3 = 65/3
A = 15 * 65/3 = 15/3 *65 = 5*65 =325
A = 325 yd^2
<span>Find the area of two sides (Length*Height)*2 sidesFind the area of adjacent sides (Width*Height)*2 sidesFind the area of ends (Length*Width)*2 ends<span>Add the three areas together to find the surface area</span></span>
Answer: x=1
Step-by-step explanation:
You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.
1. -7x + 14 + 1 = 15 -7x
2. Combine like terms -7x + 15 = 15-7x
The two sides of the equation are the same so that means that x=1
