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
Inessa05 [86]
3 years ago
14

Is there enough information to prove that the triangles are congruent?

Mathematics
2 answers:
dalvyx [7]3 years ago
4 0

Answer:

  • Yes

Step-by-step explanation:

<u>Given:</u>

  • AB = CD
  • AD = BC
  • AC = AC

Three congruent sides, two given and one shared

Side-side-side postulate SSS

m_a_m_a [10]3 years ago
3 0

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

You might be interested in
A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then class
zlopas [31]

Answer:

Step-by-step explanation:

Number of electronic systems = 6

(a) Number of defected systems = 2

Probability of getting at least one system is defective

1 defective and 1 non defective + 2 defective

= (2 C 1 ) x (4 C 1) + (2 C 2) / (6 C 2)

= 3 / 5

(b) four defective

Probability of getting at least one system is defective

2 defective and 2 non defective + 3 defective and 1 non defective + 4 defective  

= (4 C 2 ) x (2 C 2) + (4 C 3 )(2 C 1) + (4 C 4) / (6 C 4)

= 1

4 0
3 years ago
Read 2 more answers
PLZ HELP ASAP
ICE Princess25 [194]

Seems way to hard for anyone to help you XD

8 0
3 years ago
Pls solve quickly !!
Eva8 [605]

Answer:

Options A

Step-by-step explanation:

Properties of the graph given for the function 'g',

y-intercept of the function 'g' → y = -4

Minimum value of g(x) → y = -4 (Value of the function at the lowest point)

Roots of g(x) → x = -2, 2

At x = 4,

g(4) = 11

Another function is,

f(x) = -x² - 4x - 4

     = -(x² + 4x + 4)

     = -(x + 2)²

Properties of the function f(x) = -(x + 2)²,

y-intercept (at x = 0) of the function 'f',

y = -(x + 2)²

y = -4

Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.

Maximum value of the function 'f' = Value of the function at the vertex

Coordinates of vertex → (-2, 0)

Therefore, maximum value of 'f' = 0

Roots (at y = 0) of the function 'f' → x = -2

At x = 4,

f(4) = -(4 + 2)²

     = -36

Therefore, Options A will be the correct option.

5 0
3 years ago
An experiment has a high degree of ______________ when it shows convincingly that changes in behavior are a function of the inde
adelina 88 [10]

The answer is Internal Validity.

Internal Validity is high in an experiment. when it demonstrates persuasively that changes in behavior are caused by the independent variable and not by unknown factors.

What is Internal Validity?

  • Internal validity is defined as the degree to which the observed results represent the truth in the population under investigation and are not the consequence of methodological flaws.
  • Internal validity is the degree of certainty that the causal link being examined is reliable and unaffected by other factors or variables.
  • The extent to which study results may be extended (generalized) to other contexts, groups, or events is referred to as external validity.

To learn more about Internal Validity visit:

brainly.com/question/9292757

#SPJ4

5 0
1 year ago
A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo
defon

Answer:

a) The expected value is given by:

E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11

The variance is given by:

Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333

And the standard deviation is just the square root of the variance and we got:

Sd(x) = \sqrt{0.3333}= 0.5774

b) P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}, a \leq x \leq b

And using this function we got:

P(X

c) P(X>10.5)

And using the complement rule and the cumulative distribution function we got:

P(X>10.5)= 1-P(X

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

X \sim Unif (a= 10, b =12)

Part a

The expected value is given by:

E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11

The variance is given by:

Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333

And the standard deviation is just the square root of the variance and we got:

Sd(x) = \sqrt{0.3333}= 0.5774

Part b

For this case we want this probability:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}, a \leq x \leq b

And using this function we got:

P(X

Part c

For this case we want this probability:

P(X>10.5)

And using the complement rule and the cumulative distribution function we got:

P(X>10.5)= 1-P(X

3 0
4 years ago
Other questions:
  • All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball,
    12·1 answer
  • Find the area of a circle that has a radius of 14 feet. Approximate 1 as 3.14. Round your answer to the nearest
    5·1 answer
  • I need help with this homework question
    7·2 answers
  • Identify the vertex for the graph of y = −3x2 + 6x − 4. (1, 5) (1, −1) (−1, −13) (−1, −9)
    8·2 answers
  • I need help <br> Y=x+4 <br> y=3x-1
    7·1 answer
  • D1 (leave in terms of n )
    13·1 answer
  • Various dilutions of square a are shown which square was obtained by dilating square a by a scale factor of 3
    14·1 answer
  • Please help I will give brainliest:) hurry! Answer carefully plss
    5·1 answer
  • Ten students share 8 pieces of poster board equally. What fraction of a piece of poster board does each student get?​
    8·1 answer
  • The length of the base of an isosceles triangle is x. The length of a leg is 4x-4. The perimeter of the triangle is 73 . Find x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!