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allsm [11]
3 years ago
8

The second statement is the what of the first?

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

  contrapositive

Step-by-step explanation:

The <u>converse</u> statement would be ...

  b ⇒ a

The <u>contrapositive</u> swaps the parts and negates them both:

  ¬b ⇒ ¬a . . . . . matches your given statement

The <u>inverse</u> negates both parts:

  ¬a ⇒ ¬b

A <u>contradiction</u> arises when the implication is false: a is true and b is false.

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Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head
musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, BE = EC or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft

Therefore, the building is 32 feet tall.

5 0
3 years ago
What decimal number is between 4.0 and 4.5?
dybincka [34]
The answer is
4.25. 
All you have to do is find the difference (0.5), half it (0.25) and add it to the smallest number.
8 0
2 years ago
A circular plate has circumference 28.9 inches. What is the area of this plate? Use 3.14 for pi.
Vitek1552 [10]

Answer:

66.46

Step-by-step explanation:

5 0
3 years ago
2 Emma buys 33 yards of blue fabric and some yellow fabric at a store. She buys a total of 53 yards of fabric. The equation 1 2
Rus_ich [418]

Step-by-step explanation:

your answer is 99


6 0
2 years ago
(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?
drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon

for part b) slope=rise/run

m=(y2-y1)/(x2-x1)

y2=400  y1=0 x1=0 x2=200

m=(400-0)/(200-0)=2

slope of the graph is 2

5 0
2 years ago
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