answer.
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
kirza4 [7]
2 years ago
7

What is the Hinge Theorem used to show? A. that two triangles are similar B. the relative lengths of the corresponding sides in

two triangles C. the congruency of adjacent sides D. the relative measures of the corresponding angles in two triangles
Mathematics
1 answer:
Montano1993 [528]2 years ago
8 0

Answer:

B. The relative lengths of the corresponding sides in two triangles.

Step-by-step explanation:

We know that, Hinge theorem states that if two sides of one triangle is congruent to two sides of another triangle and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

Or we can also say it as, if two triangles have two congruent sides (sides of equal length), then the triangle with the larger angle between those sides will have a longer third side.

So basically,Hinge theorem compares the relative lengths of the corresponding sides in two triangles.

You might be interested in
You drive 30 miles due east in a half hour. Then, you turn left and drive 30 miles north in 1 hour. What are your average speed
garri49 [273]
Original position: P1=(0,0)
<span>You drive 30 miles due east in a half hour: x=+30 miles, t1=1/2 hour=0.5 hours
</span><span>Then, you turn left and drive 30 miles north in 1 hour: y=+30 miles, t2=1 hour
Rectangular coordinates of final position: P2=(x,y)→P2=(30,30)
Total time: t=t1+t2=0.5 hours+1 hour→t=1.5 hours

Average speed: S ave=d/t
Total distance: d=x+y=30 miles+30 miles→d=60 miles
S ave = 60 miles / (1.5 hours)
S ave = 40 miles/hour

Velocity is a vector, the magnitude of this vector is the magnitude of the vector of change of position dividing by the total time t
The vector of change of position: s=P1-P2=(30,30)-(0,0)=(30-0,30-0)→
s=(30,30) 
Magnitude of vector s=sqrt[30^2+30^2]=sqrt[30^2*2]=sqrt[30^2]*sqrt(2)
Magnitude of vector s=30*sqrt(2) miles

Magnitude of velocity vector = Magnitud of vector s / t
Magnitude of velocity vector = [30*sqrt(2) miles] / (1.5 hours)
Magnitude of velocity vector = 20*sqrt(2) miles / hour
Magnitude of velocity vector=20*1.4142 miles / hour
Magnitude of velocity vector=28.284 miles/hour

Polar coordinates of your position=(r, theta)
r=Magnitude of vector s=30*sqrt(2) miles
theta=tan^(-1) (y/x) = tan^(-1) [(30 miles) / (30 miles)]
theta=tan^(-1) (1)→theta=45°=Pi/4 (Pi=3.1416)
Polar coordinates of your position: ( 30*sqrt(2) miles, 45°)
Polar coordinate of your position: ( 30*sqrt(2) miles, Pi/4 )

Answers:
Average speed: 40 miles / hour
Velocity: 20*sqrt(2) miles / hour = 28.284 miles / hour
Rectangular coordinates of your position = (30,30)
Polar coordinates of your position=(30*sqrt(2) miles,45°)
Polar coordinates of your position=(30*sqrt(2) miles,Pi/4)</span>
4 0
1 year ago
Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of
DochEvi [55]

Answer:  The correct option is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: Given that eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag.

The sample space, S will be

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Let, 'B' represents the event in which the number 6 is drawn from the bag.

So, B = {6}.

Since 'A' is the complement of 'B', so the set 'A' will contain those element of the sample space 'S' that are not in the set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

⇒ A = {1, 2, 3, 4, 5, 7, 8}.

Thus, (C) is the correct option.

7 0
1 year ago
Read 2 more answers
A nationwide survey of 100 boys and 50 girls in the first grade found that the daily average number of boys who are absent from
dusya [7]
Te difference of 2 standard deviation of a population n1 & n2 is given by the formula:
sigma (difference)=√(sigma1/n1 + sigma2/n2), Plug:

sigma(d)= √(49/100 + 36/50)

Sigma(d=difference) =1.1

6 0
2 years ago
Read 2 more answers
Circle O is shown. Line segments A O and B O are radii. A line is drawn from point A to point D to form a chord. Another line is
Artist 52 [7]

Answer:

yes you are correct

Step-by-step explanation

the answers to your question are correct it is:

1) 50 degrees

2) 50 degrees

3) 25 degrees

6 0
1 year ago
Read 2 more answers
Word Problem The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor
Elza [17]

Answer:

1.05

Step-by-step explanation:

Waist to Hip Ratio would be the ratio of the waist measurement to the hip measurement.

The waist measurement is 42 inches and the hip measurement is 2 less; this makes the hip measurement 42-2 = 40 inches.

This makes the WHR 42/40 = 1.05.

6 0
1 year ago
Read 2 more answers
Other questions:
  • 8. In how many ways can a committee of four be selected from eight men and seven women if Miss Jones refuses to serve on the sam
    11·1 answer
  • Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each ear. Which expression gives th
    14·1 answer
  • Given the general identity tan X =sin X/cos X , which equation relating the acute angles, A and C, of a right ∆ABC is true?
    14·2 answers
  • The National Science Foundation (NSF) offers grants to students who are interested in pursuing a college education. The student
    6·2 answers
  • The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
    15·2 answers
  • Together Mary, Jane, and Ruth received $30. Mary received $6, Jane received $9, and Ruth received $15. What percent of the $30 d
    12·2 answers
  • There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the
    8·2 answers
  • Consider the following random sample from a normal population: 14, 10, 13, 16, 12, 18, 15, and 11. What is the 95% confidence in
    8·1 answer
  • A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen?
    14·1 answer
  • Elijah can spend up to $23 on groceries. She wants to buy 3 pounds of tomatoes, 4 pounds of oranges, and x pounds of lean ground
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!