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ExtremeBDS [4]
2 years ago
12

What is the value of the angle marked m? Note: m is not a straight line!

Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

Answer:

m = 145 °

Step-by-step explanation:

In the given figure XYZO

∠X + ∠Y + ∠Z + ∠XOZ = 360°

∠XOZ = 360 ° - 33 ° - 22 ° - 90 °

= 360 ° - 145 °

= 215 °

∠ m + ∠ XOZ = 360 °

∠m = 360 ° - 215 °

= 145 °

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7. A vase 25 cm tall is positioned on a bench near a wall as shown. The shape of the vase follows the curve y = (x - 10)^2, wher
Kitty [74]

Answer:

Step-by-step explanation:

the base of the vase will be where the vase touches the x-axis, that is 10 cm, therefore, the base is 10 cm from the wall

:

b) 25 = x^2 -20x +100, we solve for x to find the closest distance since as we move up the vase the distance to the wall gets closer(assume the y-axis is the wall), then

x^2 -20x +75 = 0  (x-15) * (x-5) = 0

x = 15 and x = 5

we reject x = 15

the shortest distance from the top of the vase to the wall is 5 cm

:

c) this is a left shift of the equation y = (x-10)^2

from b) we know that the left shift is 5 cm

10 - 5 = 5 cm from the wall to the base

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d) y = (x-10+5)^2

y = (x-5)^2    

4 0
2 years ago
Robert went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 300 mg of sodium and each f
Paraphin [41]

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Step-by-step explanation:

Let,

Soup = x

Frozen Dinner = y

According to given statement of sodium;

300x + 500y = 5200 eqn 1

And,

x + y = 14 eqn 2

Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\

Subtracting Eqn 3 from Eqn 1;

(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5

Putting value of y in Eqn 1;

300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Keywords: Variables, linear equations, subtraction.

Learn more about linear equations at;

  • brainly.com/question/5047646
  • brainly.com/question/5048216

#LearnwithBrainly

5 0
3 years ago
Which of the following statements about perpendicular lines is true?
sammy [17]
The statement Perpendicular line intercept at 90 degree angle is true.
5 0
4 years ago
What is the surface of a cylinder radius 8mm height of 20 mm
LiRa [457]
Hey there :) You'll have to use the formula of cylinder to get your answer :
Surface area of cylinder : 2(pi)(r^2) + 2(pi)(r)(h)
pi = 22.7 or 22/7
r (radius of cylinder) = 8 mm
h = height of cylinder = 20mm

●Hence, just substitute your answer in the given formula and also don't forget to check whether the answer required needs to be in mm or cm.

Hope it helps :)
6 0
3 years ago
Read 2 more answers
Solve for x. Each figure is a rhombus.
alisha [4.7K]

Answer:

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Step-by-step explanation:

hihhihihih

7 0
3 years ago
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