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
Evgesh-ka [11]
3 years ago
6

Triangle Congruency Proofs: Complete each proof. Remember to MARK THE DIAGRAM

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

<u>Statement </u>          <u>Reason</u>

AC ≅ AR              Given

∠1 ≅ ∠2                Given

∠A ≅ ∠A              Vertical angles

ΔCAT ≅ ΔRAD    ASA postulate

∠1 ≅ ∠2                corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.

You might be interested in
The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
9966 [12]

Answer:

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ =  140 mm

Sample mean, \bar{x} =  139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}

3 0
3 years ago
The mathematical expression 9€ T means
Kaylis [27]

Answer:

Given mathematical expression means that '9 is a member of the set T'.

Step-by-step explanation:

We are given the mathematical expression,

' 9 € T '.

In words, it means '9 belongs to T'.

That is, 'the element 9 belongs to the set T' i.e. '9 is a member of the set T'.

Hence, the given mathematical expression means that '9 is a member of the set T'.

7 0
3 years ago
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
Please explain...<br> y=3x^2-5x+1 solve by completing the square
xeze [42]

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any

3 0
3 years ago
Joni made a down payment of $1,600 on a car that was 20% of the total price what was the total price
zvonat [6]
We know that 20 percent is 1/5
1,600 = (1/5)*x\\ 1,600 * 5 = x 8,000 = x
total price is $8,000
4 0
4 years ago
Other questions:
  • The area of a square is equivalent to the area of a rectangle. If the side lengths of the rectangular three units and 12 units w
    13·1 answer
  • In 1986 and earthquake measuring 6.0 on the Richter scale hit the north east section of a state how many times as intense as a m
    12·1 answer
  • -7 2/3+ -5 1/2+8 3/4
    5·1 answer
  • Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre
    6·1 answer
  • 2
    6·1 answer
  • 1) Solve for Side A<br><br> 2) Solve for Angle B
    6·2 answers
  • Triangle X Y Z is shown. The length of X Y is 9, the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.
    10·2 answers
  • Can someone help me with this?​
    11·1 answer
  • Identify the domain of the function shown in the graph.
    10·1 answer
  • Im so lost im in algebra 1 and i feel so slow
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!