There is a parallelogram ABCD with diagonals AC and BD. The diagonals AC and BD intersects each other at point E. Side AB is congruent to side CD. If ∠BAC ≅ ∠DCA, the Choose... theorem can be used to show that △ABE ≅ △CDE.

Answers

Answer 1

Answer:

SAS theorem

Step-by-step explanation:

Given

[tex]\square ABCD[/tex]

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex]

[tex]\angle BAC = \angle DCA[/tex]

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

[tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]

and

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex]

So, the congruent sides and angles of △ABE and △CDE are:

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex] ---- S

[tex]\angle BAC = \angle DCA[/tex] ---- A

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex] or [tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]  --- S

Hence, the theorem that compares both triangles is the SAS theorem


Related Questions

i can never understand these can someone help​

Answers

12/15=x/25
Cross multiply.
15x=300
x=20

Therefore, the missing side is 20.

I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

You want to buy 7 tickets at that same rate. Explain the mathematical process you used to determine the cost of 7 tickets. (Include the unit rate in your explanation)

Answers

Answer:

7x

Step-by-step explanation:

To purchase 7 tickets at the same rate ;

Mathematically, Total Cost of an item is :

Cost = unit price * quantity

Here,

quantity = 7 tickets

Since price per ticket(rate) is the same ; then we can take rate as x

Hence, the cost of the 7 tickets is :

Quantity * rate

7 * x = 7x

Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts

Answers

First one is 75/100 = x/80 with 60 free throws, second best is 70/100 = x/80 with 56 free throws, and last is 65/100 = x/80 with 52 free throws

Robert bought a pair of shoes that was on sale for 30% off
the original price of $79.95. Which is closest to the sale
price of the pair of shoes?

Answers

Answer:

The sale price of the shoes is $55.96

Step-by-step explanation:

1: 30% of $79.95 is 23.985.

Which would round to $23.99.

Then subtract 23.99 from 79.95.

79.95-23.99= 55.96

A baker has 15 cups of flour. He sets aside 4 cups of flour, and uses the rest for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make? pls help ana2928

Answers

22 batches
15-4= 11
11 x2=22

The first equation is y = -2x + 8
and the second is
y = x - 4

Please show your work!!!

Answers

Answer:4

Step-by-step explanation:

y=-2x+8

y=x-4

Y equals the same thing so you can do equal values method

-2x+8=x-4

+2x      +2x

__________

8=3x-4

+4     +4

_______

12=3x

_____

3     3

x=4

the intercepting point is (4,0)
Explaination: Demos

Y= -6/5x-7 and y=2/5x+1

Answers

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

B
A baby whale was born at the zoo. The baby
weighed 234.268 pounds. What is this number
rounded to the nearest hundredth?
a) 234.3
234:26
b) 234.26
c) 234.27
d) 234.268



Answers

Answer:

B I think hope it is right

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

how do you solve (7^-1)^-1 and 5^2 * 5^4 * 5^-3

Answers

Answer:

Step-by-step explanation:

exponents raised to a - power  is an inverse function probably not the right word

       a^-b    =  1/(a^b)     example       4^-2   = 1/(4^2)     =  1/16

so   (7^-1)^-1  is a double inverse which is back to the original number  7

      inverted 7 twice

      (7^-1)^-1     = (1/7)^-1     =  1/(1/7)     =   7     trust me or use your calculator

since the coeffients are the same  just add the powers...  some exponent rule

     5^2 * 5^4 * 5^-3   = 5^(2+4-3)   = 5³

here is it written out

5^2 * 5^4 * 5^-3    = 5²  ×   5^4   ×  5^-3    =   (5×5) × (5×5×5×5)  × (1/5×1/5×1/5)

    5×5 × 5× (5×5×5  × 1/5×1/5×1/5)           (5×5×5  × 1/5×1/5×1/5)  = 1

    5×5×5    = 5³

   so

YO please help actually been waiting for an hour and a half cuz so many trolls lol. <3 giivng brainliest, and ty in advance guys

Answers

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find [tex]x[/tex], we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of [tex]x/3[/tex].

[tex]x/3=9[/tex]

Solve.

[tex]x=27[/tex]

Hope this helps!

Your answer my good sir is d

3x + 5 > 16
x is an integer.

Find the smallest value of x.

Answers

Answer:

4

Step-by-step explanation:

3x + 5 > 16

3x > 16 - 5

3x > 11

x > 11 / 3

x > 3.6666...

The smallest value would be 4.

Answer:

4

Step-by-step explanation:

Given

3x + 5 > 16 ( subtract 5 from both sides )

3x > 11 ( divide both sides by 3 )

x > [tex]\frac{11}{3}[/tex] , that is

x > 3 [tex]\frac{2}{3}[/tex]

If x is an integer then the smallest value of x is 4

Max is asked to prove that LM=MN Here is hs proof.

This is not a correct proof explain why

Answers

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21​

Answers

Answer:

D. The equation has a maximum value with a y coordinate of -21​

Step-by-step explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

x = -b/2a

For the given equation the vertex is:

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D

What is an example of an irrational number besides pi?

Answers

this example is irracional
0.3030030003...

An Irrational Number is a real number that cannot be written as a simple fraction. An irrational number cannot be written as a simple fraction.

7.1234 is irrational because it is a nonterminating, nonrepeating decimal.

65.4349224 is also irrational

---

hope it helps

A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What is the total amount paid for the trip? Round your answer to the nearest hundredth.

Answers

Answer:

$180.806

Step-by-step explanation:

The computation of the total amount paid for the trip is shown below;

As we know that

Simple interest = Principal × rate of interest × time period

= (67.70 + 62.34 + 45.50) × 12% × 3 months ÷ 12 months

= 5.2662

Now the amount is

= Principal + simple interest

= 175.54 + 5.2662

= $180.806

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)

Answers

Step-by-step explanation:

just use step by step process so dum

Is this a proportional graph?

Answers

yes that graph is a proportional graph

PLEASE HELP MEEEEEE

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

f = 3
f = 4
f = 5
f = 6

Answers

Answer:

f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

Using that, we can use this identity

[tex] \sin(x) = \cos(y) [/tex]

where x+y=90

[tex]22f - 1 + 7f + 4 = 90[/tex]

[tex]29f + 3 = 90[/tex]

[tex]29f = 87[/tex]

[tex]f = 3[/tex]

Determine the approximate average rate of change in the number of tickets sold between the 3rd and 10th days after the release.
OA.
OB.
The number of tickets sold changed at an average rate of approximately -20 tickets per day.
The number of tickets sold changed at an average rate of approximately – 7 tickets per day.
The number of tickets sold changed at an average rate of approximately –10 tickets per day.
The number of tickets sold changed at an average rate of approximately –3 tickets per day.
Ос.
D.

Answers

Answer:

-3 Is the average rate

Step-by-step explanation:

The number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

What is the average rate of change?

The average rate of change is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The rate of change is calculated by the formula below:-

Rate of change = Final value - initial value.

From the given graph the value of tickets on the 3rd day is 100 and on the 10th day is 80. The final value of tickets is 80 and the initial value is 100.

The average rate of change in the number of tickets sold between the 3rd and 10th days after the release will be calculated as below:-

Rate of change = Final value - initial value.

Rate of change = 80  - 100

Rate of change = -20

Therefore, the number of tickets sold changed at an average rate of approximately -20 tickets per day. The correct answer is option A.

To know more about the average rate of change follow

https://brainly.com/question/8728504

#SPJ2

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

A shark is swimming 25 feet below the surface of the water. It goes down another 12 feet. What is the new depth the shark is swimming at?

Answers

Answer:

37 feet below the surface or -37 ft

Step-by-step explanation:

the new depth is -37 feet

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,
and (6q – 9) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?

Answers

Given:

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,

and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Solution:

We know that, perimeter of a triangle is the sum of its all sides.

[tex]Perimeter=(6p-7)+(7p-2)+(6q-9)[/tex]

Combining like terms, we get

[tex]Perimeter=(6p+7p)+6q+(-7-2-9)[/tex]

[tex]Perimeter=(13p)+6q+(-18)[/tex]

[tex]Perimeter=13p+6q-18[/tex]

Therefore, the perimeter of the triangle is represented by the expression [tex]13p+6q-18[/tex] centimeters.

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters, and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Answer:

-18+13p+6q

(Also got it right on a test)

please help thank you

Answers

Answer:

n = 18

Step-by-step explanation:

(2n) and (n + 18) are vertically opposite angles and are congruent, then

2n = n + 18 ( subtract n from both sides )

n = 18

Maria and her friends ate 5/8 of the 16 oranges that were at Maria's house. which is a reasonable answer for 5/8 x 16? please help!!

Answers

Answer:

10

Step-by-step explanation:

Multiply by 2
5(2). 8(2)
10/16
The answer is 10

what is the dividend of 20 times 50

Answers

Answer:

1000

Step-by-step explanation:

Answer:

20 × 50

= 1000

Although u say dividend, which is division, not too sure here

A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answers

Answer:

h

Step-by-step explanation:

trust me js divide

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