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madreJ [45]
4 years ago
15

Given: ∠ABC is a right angle and ∠DEF is a right angle. Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF. What a

re the missing reasons in the steps of the proof?
Mathematics
2 answers:
Veseljchak [2.6K]4 years ago
8 0

A. definition of right angle

B. substitution property

C. definition of congruent angles

balu736 [363]4 years ago
6 0

Answer:

A. definition of right angle

B. substitution property

C. definition of congruent angles

Step-by-step explanation:

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an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0
2 years ago
Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week
hoa [83]

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

 

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

or

T = 16 y + 360

 

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

<span>x + y = 30 + 3 = 33 hrs        </span>

<span>(x = 30 since that is the maximum limit for regular working hours)</span>

7 0
3 years ago
Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understa
Anastasy [175]
Y=31.2
X=15.6

I rounded both to the nearest tenth place.
5 0
3 years ago
Read 2 more answers
What’s is a referent for a km
Afina-wow [57]

Answer:

km stands for kilometers

7 0
3 years ago
Witold says that 50% of a number will always be greater than 20% of any other number. Complete one inequality to support Witold'
Lelu [443]
.50 x 2 < .20 x 100
1 < 20

50% of 2 is not greater than 20% of 100.
4 0
4 years ago
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