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
andrew11 [14]
2 years ago
14

Determine if the pair of figures are congruent and select the appropriate theorem if applicable.

Mathematics
2 answers:
Korolek [52]2 years ago
5 0
I think the answer should be A

Alik [6]2 years ago
4 0

Answer:A

Step-by-step explanation:

You might be interested in
A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle
Oksanka [162]

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

Length of each side is 26.3 cm

3 0
3 years ago
The perimeter of the rectangle below is 112 units. Find the length of side VW . Write your answer without variables. Top YX: 4z
dimaraw [331]

Answer:

VW = 33

Step-by-step explanation:

<em>See attachment for complete question</em>

Given

VY = 4x - 1

VW = 5x + 3

Perimeter = 112

Required

Determine the length of VW

Perimeter is calculated as:

Perimeter = 2 * (Width + Length)

This gives:

Perimeter = 2 * (VW + VY)

Substitute values for VW, VY and Perimeter

112 =  2 * (4x - 1 + 5x + 3)

Collect Like Terms

112 = 2 * (4x + 5x -1 +3)

112 = 2 * (9x +2)

Divide through by 2

56 = 9x + 2

Collect Like Terms

9x = 56 - 2

9x = 54

x = 54/9

x = 6

Substitute 6 for x in VW = 5x + 3

VW = 5 * 6 + 3

VW = 30 + 3

VW = 33

4 0
2 years ago
Stan wants to start an IRA that will have $250,000 in it when he retires in 25 years. How much should he invest semiannually in
Alecsey [184]
$1,041,666.70 I'm not sure but that what I think the answer is

8 0
3 years ago
In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

a+16(-3) = -40

a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0
3 years ago
Read 2 more answers
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
3 years ago
Other questions:
  • Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sel
    15·2 answers
  • An equation is given below.
    13·1 answer
  • 100 POINTS!!!!!! MAY SOMEONE PLEASE HELP ME!!!! I NEED IT BAD!<br> THANK YOU IN ADVANCE!
    9·1 answer
  • Dorothy ran 6 times around a circular track that has a diameter of 47 m. Approximately how far did she run? Use ππ = 3.14 and ro
    13·1 answer
  • Three differnt way to wright 3,705.692
    11·1 answer
  • Frank buys p pounds of oranges for $2.29 per pound and the same number of pound ls of apples for $1.69 per pound. What does the
    7·2 answers
  • Ann says that is less than
    15·1 answer
  • For 7/20, what is an equivalent fraction with a denominator of 100?
    7·2 answers
  • How to factorise x2 + 8x + 12
    14·2 answers
  • The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of grap
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!