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lutik1710 [3]
3 years ago
14

Are the triangles congrouent? if so by what postulate

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

D Not enough information

Step-by-step explanation:

They give us one pair of congruent sides and we know there is a pair of  congruent angles because of vertical angles however we can't say for sure that the sides are equal because there is no theorem to prove it and we can't guess by eye in Geometry

Hope This Helps :)

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The length (L) of the figure is 11 mm and the width (w) is 9 mm. What is the perimeter of the shaded region? Round to the neares
Lera25 [3.4K]

Answer:

50.3 mm

Step-by-step explanation:

The perimeter of the shaded region = perimeter of a full circle + 2(Length)

= πd + 2(L)

diameter (d) = width = 9 mm

Length (L) = 11 mm

Perimeter of the shaded region = π*9 + 2(11)

= 50.2743339 ≈ 50.3 mm (nearest tenth)

7 0
2 years ago
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
3 years ago
1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

  d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

  C = 40w² +225/w

4 0
3 years ago
Two numbers that multiply to 120 and add to 29
Veseljchak [2.6K]
10*12=120+29=149 hoped i helped
8 0
3 years ago
What is the answer for 35 3/4 - 1/8
BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

4 0
3 years ago
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