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defon
3 years ago
6

Dana is attaching a shelf to a wall and needs the shelf to be perpendicular to the wall. How many degrees should the shelf be re

lative to the wall?
Mathematics
1 answer:
sergey [27]3 years ago
7 0

The shelf must be at right angles (90 degrees) relative to the wall.

Step-by-step explanation:

Dana concern is that the shelf must be perpendicular to the wall. This means that the angle between the wall and the Dana’s shelf must be 90 degrees.

The term “perpendicular” is sometimes used in the mathematical terminology for the angle of 90 degrees. Hence, the Dana’s shelf must be at 90 degrees relative to the wall.  It is to be noted here that straight lines make an angle of 180 degrees. Since the shelf is at 90 degrees, either side of the shelf would be at 90 degrees to the wall.

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90° clockwise rotation<br> Help please
maria [59]

Answer:

E' (-2,5)

F' (-3,1)

G' (-2,-1)

H' (0,3)

Step-by-step explanation:

The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).

4 0
3 years ago
If each quadrilateral below is a parallelogram,find the missing measures.
zhenek [66]

Answer:

Part 1) MN=31\ units

Part 2) KN=45\ units

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

KL=31\ units

therefore

MN=31\ units

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

LM=45\ units

therefore

KN=45\ units

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0
3 years ago
190
TEA [102]

Answer:

Step-by-step explanation:

240000

5 0
3 years ago
Answer choices 6 cubic units8 cubic units 10.6 cubic units 18 cubic units
antiseptic1488 [7]

Given,

Cylinder A has a volume of 6 cubic units

and height =3 units

The radius of cylinder A,

\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}

To find the volume of a cylinder B

\begin{gathered} V=\pi r^2h \\ =(3.14)\times(0.8)^2\times(3) \\ =6.03 \end{gathered}

Thus the volume of cylinder B is 6.03

7 0
1 year ago
what is the height of a box with a volume of 50 cubic meters, length of 10 meters, and which of 2 meters
Wittaler [7]
H = v over l (w)
so 50 divided by 20
= 2.5
4 0
4 years ago
Read 2 more answers
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