The angle M of the parallelogram is; ∠ M = 145°
<h3>What are angles in a parallelogram?</h3>
In a parallelogram, there are four angles with angles on the same line summing up to 180°.
Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;
∠J + ∠ M = 180°
35° + ∠ M = 180°
∠ M = 180° - 35°
∠ M = 145°
Read more about angles in a parallelogram at; brainly.com/question/11627202
Answer:
so this year she grew 14 tomatoes and 16 roma tomatoes so if u add 14 plus 16 your answer would be 30 she grew 30 tomatoes this year.
Step-by-step explanation:
The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft
The gardeners should buy 54 white hydrangeas and 88 pink hydrangeas altogether.
Step-by-step explanation:
Let,
Number of white hydrangeas = x
Number of pink hydrangeas = y
According to given statement;
In first bed
x+y = 40 Eqn 1
In second bed
2 times the number of white hydrangeas and 3 times the number of pink hydrangeas as in the first bed.
2x+3y=102 Eqn 2
Multiplying Eqn 1 by 2
![2(x+y=40)\\2x+2y=80\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=2%28x%2By%3D40%29%5C%5C2x%2B2y%3D80%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(2x+3y)-(2x+2y)=102-80\\2x+3y-2x-2y=22\\y=22](https://tex.z-dn.net/?f=%282x%2B3y%29-%282x%2B2y%29%3D102-80%5C%5C2x%2B3y-2x-2y%3D22%5C%5Cy%3D22)
Putting y=22 in Eqn 1
![x+22=40\\x=40-22\\x=18](https://tex.z-dn.net/?f=x%2B22%3D40%5C%5Cx%3D40-22%5C%5Cx%3D18)
Number of white hydrangeas altogether = x+2x = 3x = 3(18) = 54
Number of pink hydrangeas altogether = y+3y = 4y = 4(22) = 88
The gardeners should buy 54 white hydrangeas and 88 pink hydrangeas altogether.
Keywords: linear equation, elimination method
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Answer:
12 miles
Step-by-step explanation:
If he walks 3 miles per hour and he walks for 4 hours at a constant rate, multiply the 3 by the 4 to fine how far he will walk.
3×4=12