1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
den301095 [7]
3 years ago
5

Refer to the following conditional statement: If a and b are odd integers, then a • b is an odd integer. Which shows the hypothe

sis? A. a and b are not odd integers B. a • b is not an odd integer C. a and b are odd integers D. a • b is an odd integer
Mathematics
1 answer:
sineoko [7]3 years ago
5 0
A is not part of the problem, and it's what makes the condition false.  B is the opposite of the statement being proved.  C is the condition, not the hypothesis.  However, D is the statement we are trying to prove, or the hypothesis.
You might be interested in
Which of the following best describes (x + 6)(x – 6)
FromTheMoon [43]

1) take x*x

2) x*-6

3)6*x

4)6*-6

answer x^2-36

5 0
3 years ago
Read 2 more answers
So How's Everyone's Day Going?
Alex777 [14]

Answer:

meh

Step-by-step explanation: complicated

8 0
2 years ago
Please help. Show all work:)
Alex787 [66]

Answer:

  50

Step-by-step explanation:

(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50

__

We make use of the special form for the difference of squares:

  (a+b)(a-b) = a²-b²

8 0
3 years ago
2.5(6x -4) = 10+4(1.5+0.5x)
Lemur [1.5K]

Answer:

x = 2

Nothing more, nothing less

6 0
2 years ago
In the trapezoid ABCD (AB∥CD) point M∈AD, so that AM:MD=3:5. Line L ∥AB and going through point M intersects diagonal AC and leg
siniylev [52]

Answer:

\dfrac{AP}{PC}=\dfrac{3}{5}

\dfrac{BN}{CN}=\dfrac{3}{5}

Step-by-step explanation:

Consider triangles AMP and ADC. In these triangles,

  • angle A is the common angle, so \angle MAP\cong \angle DAC by reflexive property;
  • angles AMP and ADC are congruent as corresponding angles when two parallel lines MP and CD are cut by transversal AD.

Hence, triangles AMP and ADC are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

\dfrac{AM}{AD}=\dfrac{AP}{AC}\\ \\\dfrac{3x}{3x+5x}=\dfrac{AP}{AC}\\ \\\dfrac{AP}{AC}=\dfrac{3}{8}\Rightarrow AP=\dfrac{3}{8}AC\\ \\PC=AC-AP=AC-\dfrac{3}{8}AC=\dfrac{5}{8}AC,

so

\dfrac{AP}{PC}=\dfrac{\frac{3}{8}AC}{\frac{5}{8}AC}=\dfrac{3}{5}

Consider triangles ACB and PCN. In these triangles,

  • angle C is the common angle, so \angle ACB\cong \angle PCN by reflexive property;
  • angles ABC and PCN are congruent as corresponding angles when two parallel lines PN and AB are cut by transversal BC.

Hence, triangles ACB and PCN are similar by AA similarity theorem.

Similar triangles have proportional corresponding sides, thus

\dfrac{CP}{AP}=\dfrac{CN}{CB}\\ \\\dfrac{5x}{3x+5x}=\dfrac{CN}{CB}\\ \\\dfrac{CN}{CB}=\dfrac{5}{8}\Rightarrow CN=\dfrac{5}{8}CB\\ \\BN=BC-CN=BC-\dfrac{5}{8}BC=\dfrac{3}{8}BC,

so

\dfrac{BN}{CN}=\dfrac{\frac{3}{8}BC}{\frac{5}{8}BC}=\dfrac{3}{5}

4 0
2 years ago
Other questions:
  • In a rectangular plot, 5 square flower beds of side (x+2) metres each have been laid (see the figure). Find the total cost of fe
    14·1 answer
  • I just need help with the last part. the c) part<br> Describe the end behavior of the function:
    11·2 answers
  • A sweater costs $33.23 and is subject to a 3.8% sales tax. What is the amount of the sales tax?
    10·2 answers
  • -9 divided by 5/8 equals
    11·1 answer
  • Write 1.888... as a mixed number
    9·1 answer
  • Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form
    5·1 answer
  • (the stake is 14ft)
    8·1 answer
  • 525x =300x +45x What is the answer to this problem.
    5·1 answer
  • If the compound ratio of 7:5 and 8:x is 83:60 then find X​
    6·1 answer
  • The shapes below are mathematically similar.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!