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valkas [14]
3 years ago
9

Statement: All equilateral triangles are congruent by SSS congruence. Is the statement true? Why or why not?

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0
False, An example would be an equilateral triangle with 3 sides of 3 inches,  and another with three sides of 5 inches. They will be similar but not congruent because their sides differ. because the sides and volumes differ they will not be congruent.
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Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
Solve −4(x + 10) − 6 = −3(x − 2).
Dmitriy789 [7]
Should be the right answer ☺️

4 0
3 years ago
Read 2 more answers
If x=12 in, y=16, and z=20 in, what is the surface area of the geometric shape formed by this net?
maria [59]

Given:

x = 12 in, y = 16 in and z = 20 in

To find:

The surface area of the geometric shape.

Solution:

Area of top rectangle = z × z

                                    = 20 × 20

Area of top rectangle = 400 in²

Area of middle rectangle = z × y

                                          = 20 × 16

Area of middle rectangle = 320 in²

Area of bottom rectangle = z × x

                                          = 20 × 12

Area of bottom rectangle = 240 in²

Area of left triangle = \frac{1}{2}yx

                                $=\frac{1}{2}\times16\times12

Area of left triangle = 96 in²

Area of right triangle = \frac{1}{2}yx

                                $=\frac{1}{2}\times16\times12

Area of right triangle = 96 in²

Surface area = 400 + 320 + 240 + 96 + 96

                     = 1152

The surface area of the geometric shape is 1152 in².

3 0
3 years ago
Can please answer these 3 questions
kupik [55]
So it would be 32 lol if
6 0
2 years ago
What percent of 12 is 24
jeka57 [31]

Answer:

200%

Step-by-step explanation:

12 as a whole would be 100%. if you wanted to get to 24 (which would be double) you'd need to double the percentage! hope this helps

6 0
2 years ago
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