If Jamie's age is represented as x and given that Ana is the same age as Jamie then, Ana's age can also be represented by x. The sum of their ages is equal to,
Sum of their ages = x + x
Simplifying,
Sum of their ages = 2x
Answer: 39.2Check out the attached image
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Explanation:
Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached.
Let m = length of side XZ
We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram
Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38
Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m =
39.2So
XZ is roughly 39.2 feet in length
14r+20<14r+16 or 8−10r>15−9r
14r+20<14r+16
14r+20−14r<14r+16−14r(Subtract 14r from both sides)
20<16
20−20<16−20(Subtract 20 from both sides)
0<−4
8−10r>15−9r
−10r+8>−9r+15(Simplify both sides of the inequality)
−10r+8+9r>−9r+15+9r(Add 9r to both sides)
−r+8>15
−r+8−8>15−8(Subtract 8 from both sides)
−r>7
−r/−1 > 7/−1(Divide both sides by -1)
r<−7
Ur answer is:
r < - 7 OR 0 < - 4
Answer:
2x + 15= 33
Step-by-step explanation:
Jerry started doing sit-ups every day. The first day he did 17 sit-ups. Every day after that he did 4 more sit-ups than he had done the previous day. Today Jerry did 73 sit-ups. Write an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the number of days.