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PilotLPTM [1.2K]
3 years ago
8

Honors Geometry: Congruent Triangles Help!! ;-;

Mathematics
2 answers:
goblinko [34]3 years ago
7 0
These are congruent by SAS.  or C
lara31 [8.8K]3 years ago
3 0
Answer is C.
triangle ABC = triangle DEF by SAS

hope it helps
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6) The sum of three consecutive numbers is seventy-eight.
tia_tia [17]

Answer:

Step-by-step explanation:

In my opinion the three consecutive numbers should be 25 26 and 27

25 + 26 + 27 = 78

3 0
3 years ago
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Solve for x:<br><br> 11x = 6x + 20
notka56 [123]

Answer:

x = 4

Step-by-step explanation:

11x= 6x +20

-6x   -6x

(subtract 6x from both sides)

5x = 20

/5x   /5x

divide 5x from both sides

x=4

3 0
3 years ago
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About Exercise 2.3.1: Proving conditional statements by contrapositive Prove each statement by contrapositive
Sladkaya [172]

Answer:

See proofs below

Step-by-step explanation:

A proof by counterpositive consists on assuming the negation of the conclusion and proving the negation of the hypothesis.

a) Assume that n is not odd. Then n is even, that is, n=2k for some integer k. Hence n²=4k²=2(2k²)=2t for some integer t=2k². Then n² is even, therefore n² is not odd. We have proved the counterpositive of this statement.

b) Assume that n is not even, then n is odd. Thus, n=2k+1 for some integer k. Now, n³=(2k+1)³=8k³+6k²+6k+1=2(4k³+3k²+3k)+1=2t+1 for the integer t=4k³+3k²+3k. Thus n³ is odd, that is, n³ is not even.

c) Suppose that n is not odd, that is, n is even. Now, n=2k for some integer k. Then 5n+3=10k+3=2(5k+1)+1, thus 5n+3 is odd, then 5n+3 is not even.

d) Suppose that n is not odd, then n is even. Now, n=2k for some integer k. Then n²-2n+7=4k²-4k+7=2(2k²-2k+3)+1. Hence n²-2n+7 is odd, that is, n²-2n+7 is not even.

e) Assume that -r is not irrational, then -r is rational. Since -1 is rational, then (-1)(-r)=r is rational. Thus r is not irrational.

f) Assume that 1/z is not irrational. Then 1/z is rational. Multiplucative inverses of rational numbers are rational, hence z is rational, that is, z is not irrational.

g) Suppose that z>y. We will prove that z³+zy²≤z²y+y³ is false, that is, we will prove that z³+zy²>z²y+y³. Multiply by the nonnegative number z² in the inequality z>y to get z³>z²y (here we assume z and y nonzero, in this case either z³>0=y³ is true or z³=0>y³ is true). On the other hand, multiply by z² (positive number) to get zy²>y³. Add both inequalities to obtain z³+zy²>z²y+y³ as required.

h) Suppose than n is even. Then n=2k, and n²=4k² is divisible by 4.

i) Assume that "z is irrational or y is irrational" is false. Then z is rational and y is rational. Rational numbers are closed under sum, then z+y is rational, that is, z+y is not irrational.

3 0
3 years ago
Ricardo drove 15 miles in 20 minutes. What was his average rate in miles per hour?<br> (number form)
Rudiy27

Answer:3/4 miles per hour

Step-by-step explanation:

Simplify the fraction 20/15 to get 3/4 per hour or 0.75 miles per hour

8 0
3 years ago
What is the product? (negative 3 s 2 t)(4 s minus t).
photoshop1234 [79]

Answer:

huh?

Step-by-step explanation:

5 0
2 years ago
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